Darnel is studying the movement of glaciers, which are bodies of dense ice. The median
annual movement of the Blue Valley Glacier is about 300.2 feet, and the interquartile range is
14 feet. The median annual movement of the Silver Lake Glacier is about 300.4 feet, and the
interquartile range is about 14 feet.
4) What can you conclude from these statistics? Complete the sentence.
Over a year, the Blue Valley Glacier typically moves about
the Silver Lake Glacier, and Blue Valley has
its annual movement compared to Silver Lake.
as
▾ variability in its annual movement compared to silver lake

Answers

Answer 1

Over a year, the Blue Valley Glacier typically moves about the same distance as the Silver Lake Glacier, and Blue Valley has the same variability in its annual movement compared to Silver Lake.

How to interpret the statistics

The median annual movement of the Blue Valley Glacier is 300.2 feet, and the interquartile range is 14 feet.

The interquartile range indicates the spread of the data within the middle 50% of the data

So we know that the annual movement of the Blue Valley Glacier falls within a range of 300.2 ± 7 feet (i.e. 293.2 to 307.2 feet)

Similarly, the median annual movement of the Silver Lake Glacier is 300.4 feet, and the interquartile range is also 14 feet

So the annual movement of the Silver Lake Glacier also falls within a range of 300.4 ± 7 feet (i.e. 293.4 to 307.4 feet)

Since the ranges for both glaciers overlap and have the same size, we can conclude that they typically move about the same distance over a year, and that the variability in the annual movement of Blue Valley is comparable to that of Silver Lake.

Read more about median and IQR at

https://brainly.com/question/15696302

#SPJ1


Related Questions

4. A polygon with area 10 square units is dilated by a scale factor of k. Find
the area of the image for each value of k. (Lesson 5-4)
a. k = 4
b. k = 1.5
c. k = 1
d. k = 1/3

Answers

Answer:

If a polygon is dilated by a scale factor of k, then its area is multiplied by k².

a. When k = 4, the area of the image is 10 × 4² = 160 square units.

b. When k = 1.5, the area of the image is 10 × 1.5² = 22.5 square units.

c. When k = 1, the area of the image is 10 × 1² = 10 square units. (The image is the same size as the original.)

d. When k = 1/3, the area of the image is 10 × (1/3)² = 10/9 square units.

Step-by-step explanation:

Given the lengths of two sides of a triangle, write an equality to indicate between which two numbers the length of the third side must fall.
The sides are:
8 and 13
I will award brainliest to the first correct answer with a decent explanation

Answers

The length of the third side must fall between 8 and 13. This is because the sum of the lengths of any two sides of a triangle must always be greater than the length of the third side.

Anita borrowed ₹6000 from a bank at 15% interest rate per annum. Find the interest and
amount to be paid at the end of 3 years.

Answers

Answer: The interest and amount to be paid at the end of 3 years is Rs.8700

Step-by-step explanation:

let P ,R, T be the Principle amount , Rate of interest and Time

Given that ,

             P= 6000rs

             R= 15%

             T=3 years

Interest= PRT÷ 100

                      =6000rs×15r×3t÷100

                       =2700rs

value to be paid after 3 years  = 6000rs+2700rs

                                                             = 8700rs

Can someone help me with this please?

Answers

To solve the question asked, you can say:  So, the other angle of the figure is 49 degree.

what are angles?

In Euclidean geometry, an angle is a shape consisting of two rays, known as sides of the angle, that meet at a central point called the vertex of the angle. Two rays can be combined to form an angle in the plane in which they are placed. Angles also occur when two planes collide. These are called dihedral angles. An angle in planar geometry is a possible configuration of two rays or lines that share a common endpoint. The English word "angle" comes from the Latin word "angulus" which means "horn". A vertex is a point where two rays meet, also called a corner edge.  

here the given angles are as -

107 + (180-156) + x = 180

as total angle sum of a triangle is 180

so,

x = 180 - 131

x = 49

So, the other angle of the figure is 49 degree.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

why can't we use mean when a data set has one or two values that are much higher than all of the others

Answers

The reason we can't use the mean when a data set has one or two values that are much higher than all of the others is that it skews the average, making it not representative of the rest of the data.

What is the mean?

The mean is a numerical measure of the central tendency of a data set. It is calculated by dividing the sum of all the values in a data set by the number of data points.

A data set is a collection of observations or measurements that are analyzed to obtain information. It can be represented graphically, in tabular form, or in any other format. The data set may be a sample or the entire population.

If a data set has one or two extremely high or low values, it can significantly impact the mean. These values are known as outliers. The outliers can cause the mean to be higher or lower than the actual middle value of the data.

Hence, in such cases, the median is a better choice for finding the central tendency of the data. The median is the middle value of the data set, and it is less affected by outliers than the mean. The mode, which is the value that occurs most frequently in the data set, is also a measure of central tendency that is less sensitive to outliers than the mean.

Learn more about mean here:

https://brainly.com/question/31101410

#SPJ11

GIVING BRAINLIEST! IF TWO OR MORE PEOPLE ANSWER!

Answers

Answer:

a. Goron 224

b. Smith 96

Fishman 256

Step-by-step explanation:

a. For Goron: 640 x 0.35 = 224

b. For Smith: 640 x 0.15 = 96

   For Fishman: 640 x 0.40 = 256

Create a Dataset Give a positive integer less than 100 as the last data value in each of the following datasets so that the resulting dataset satisfies the given condition (a) The mean of the numbers is substantially less than the median 51,52,53,54 (b) The mean of the numbers is substantially more than the median 2,3,4,5, (c) The mean and the median are equal. 2,3,4,5

Answers

(a) Dataset with mean substantially less than median:

9, 10, 11, 12, 90

The mean of this dataset is (9+10+11+12+90)/5 = 26.4, while the median is 11, which is substantially greater than the mean. The last data value is 90, which is a positive integer less than 100.

(b) Dataset with mean substantially more than median:

98, 99, 100, 101, 200

The mean of this dataset is (98+99+100+101+200)/5 = 119.6, while the median is 100, which is substantially less than the mean. The last data value is 200, which is a positive integer less than 100.

(c) Dataset with mean equal to median:

2, 3, 4, 4, 5

The mean of this dataset is (2+3+4+4+5)/5 = 3.6, which is equal to the median (the middle value of the dataset). The last data value is 5, which is a positive integer less than 100.

For more questions like Dataset click the link below:

https://brainly.com/question/26468794

#SPJ11

- Per the NEC® the number of receptacles required in a classroom is ____. The room
is 36 feet x 24 feet with a 3-foot wide door at the far end of one of the 36-foot long walls. Nobody
lives there!

Answers

The number of receptacles required in the classroom is 14.

What is the number of receptacles?

To determine the number of receptacles required in a classroom, we need to consider the electrical code requirements for the room size and layout.

According to the National Electrical Code (NEC), there should be at least one duplex receptacle for every 12 linear feet of wall space in a classroom.

In addition, there should be at least one receptacle within 6 feet of each doorway and at least one receptacle on each wall space that is 2 feet or more in width.

Using this information and the dimensions provided, we can calculate the required number of receptacles as follows:

Calculate the perimeter of the room:

Perimeter = 2(Length + Width) = 2(36 + 24) = 120 feet

Calculate the total linear feet of wall space:

Total wall space = Perimeter - Width of door = 120 - 3 = 117 feet

Determine the number of receptacles required:

Number of receptacles = Total wall space / 12 + Number of doorways + Number of wall spaces wider than 2 feet

Number of doorways = 1 (as stated in the question)

Number of wall spaces wider than 2 feet = 2 (the two 24-foot-long walls)

Number of receptacles = (117 / 12) + 1 + 2 = 11 + 1 + 2 = 14

Learn more about receptacles here: https://brainly.com/question/29106217

#SPJ1

Find X
Picture Below

Answers

Step-by-step explanation:

From CalcWorkshop:

" Intersecting Chords Theorem. If two chords or secants intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord "

6 * 4 = 8 * x

x = 3

Suppose a tank of water is a cylinder. The tank has a diameter of 14 inches and is filled
to a height of 9 inches. A fish tank decoration is placed in the tank and the water rises
by 2 inches with the decoration being completely covered by water. Find the volume of
the decoration to the nearest tenth of a cubic inch.

Answers

The decoration's volume, to the closest tenth of an inch cubic, is: 308.9 cubic inches make up V.

what is volume ?

The quantity of space that an object or substance occupies is measured by its volume. Usually, it is expressed in cubic measures like cubic metres, cubic feet, or cubic inches. By multiplying an object's length, width, and height, or by applying a formula unique to the shape of the object, one can determine the volume of the object.

given

The cylinder's radius is equal to half of its diameter, or 14/2, or 7 inches. The new water level is 9 + 2 = 11 inches because the initial water level was 9 inches and the decoration raised the water level by 2 inches.

The decoration's volume is equivalent to the volume of water it removed from the area.

We can determine the volume of the ornamentation by using the following formula: V = r2h.

V = (72/2), which equals 98 cubic inches.

The decoration's volume, to the closest tenth of an inch cubic, is: 308.9 cubic inches make up V.

To know more about volume visit :-

https://brainly.com/question/13338592

#SPJ1

Find the slope of the tangent line to the ellipse x^(2)/16 +y^(2)/4=1 at the point (x,y). slope =?
Are there any points where the slope is not defined? (Enter them as comma-separated ordered-pairs, e.g., (1,3), (-2,5). Enter none if there are no such points.) slope is undefined at ?

Answers

The slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

What is slope of a tangent?

The rate of change of a curve at a certain position is represented by the slope of a tangent line to the curve at that location. In other words, it indicates whether the curve is steep or shallow at that particular location. Calculating the derivative of a function in calculus also requires estimating the slope of a tangent line, which is a crucial step. We may determine the slope of the tangent line and subsequently the derivative of the function at a location by determining the limit of the slope of a secant line as the two points on the line approach closer and closer together.

The equation of the ellipse is x²)/16 +y²/4=1.

We take the derivative of the equation with respect to xto find the slope:

x²/16 + y²/4 = 1

(x²/16)' + (y²/4)' = 1'

2x/16 + 2y/4 * dy/dx = 0

dy/dx = -x/(2y)

When the denominator of 2y equals 0, there are some locations where the slope is not specified. The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0), and all locations on the x-axis between these two points when y = 0, which occurs.

Hence, the slope of the tangent line at the point (x,y) is -x/(2y). The ellipse's slope is not defined at the coordinates (4, 0), (-4, 0).

Learn more about slope of tangent here:

https://brainly.com/question/11879764

#SPJ1

1/sinx+cosx + 1/sinx-cosx = 2sinx/sin^4x-cos^4x

Answers

The simplified expression is 2cos²(x) + sinx - 1 = 0

The expression we will be simplifying is

=> 1/sinx+cosx + 1/sinx-cosx = 2sinx/sin⁴x-cos⁴x.

To begin, let us look at the left-hand side of the expression. We can combine the two fractions using a common denominator, which gives us:

(1/sinx+cosx)(sinx-cosx)/(sinx+cosx)(sinx-cosx) + (1/sinx-cosx)(sinx+cosx)/(sinx-cosx)(sinx+cosx)

Simplifying this expression using the distributive property, we get:

(1 - cosx/sinx)/(sin²ˣ - cos²ˣ) + (1 + cosx/sinx)/(sin²ˣ - cos²ˣ)

Next, we can simplify each fraction separately. For the first fraction, we can use the identity sin²ˣ - cos²ˣ = sinx+cosx x sinx-cosx to obtain:

1 - cosx/sinx = (sinx+cosx - cosx)/sinx = sinx/sinx = 1

Similarly, for the second fraction, we can use the same identity to obtain:

1 + cosx/sinx = (sinx-cosx + cosx)/sinx = sinx/sinx = 1

Substituting these values back into the original expression, we get:

1 + 1 = 2sinx/(sin⁴x - cos⁴x)

Now, we can simplify the denominator using the identity sin²ˣ + cos²ˣ = 1 and the difference of squares formula:

sin⁴x - cos⁴x = (sin²ˣ)² - (cos²ˣ)² = (sin²ˣ + cos²ˣ)(sin²ˣ - cos²ˣ) = sin²ˣ - cos²ˣ

Substituting this back into the expression, we get:

2 = 2sinx/(sin²ˣ - cos²ˣ)

Finally, we can simplify the denominator using the identity sin²ˣ - cos²ˣ = -cos(2x):

2 = -2sinx/cos(2x)

Multiplying both sides by -cos(2x), we get:

-2cos(2x) = 2sinx

Dividing both sides by 2, we get:

-cos(2x) = sinx

Using the double-angle formula for cosine, we get:

-2cos²(x) + 1 = sinx

Simplifying this expression, we get:

2cos²(x) + sinx - 1 = 0

To know more about expression here

https://brainly.com/question/14083225

#SPJ4

What is the scale factor of the following pair of similar polygons ?​

Answers

The scale factor of the following pair of similar polygons after the dilation is 0.7

Calculating the scale factor of the similar polygons

Given

The pair of similar polygons

From the pair of similar polygons, we have the following corresponding side lengths

Pre-image of the polygon = 30

Image of the polygon = 21

The scale factor of the similar polygons is then calculated as

Scale factor = 21/30

Evaluate the quotient

Scale factor = 0.7

Hence, the scale factor is 0.7

Read more about scale factor at

https://brainly.com/question/17031580

#SPJ1

Francis has an unpaid balance of $480 on his credit card. The annual percentage rate is 12%. What is the finance charge on his next monthly statement?

Answers

Answer:

  $4.80

Step-by-step explanation:

You want to know the finance charge on a balance of $480 if the APR is 12%.

Finance charge

The monthly finance charge is the product of the monthly interest rate and the balance. The monthly interest rate is 1/12 of the annual rate.

  finance charge = (1/12 · 12%) · $480 = 0.01 · $480 = $4.80

The finance charge on the next monthly statement is $4.80.

25 POINTS

1. Explain the process of verifying a trigonometric identity.


2. What is a similarity and difference between verifying a trigonometric identity and solving an equation?


3. How do you find the value of cos120° using the sum or difference formula?


4. How do you decide whether to use a positive or negative sign in the half- angle formula for sine and cosine?


5. When solving a trigonometric equation, what is the difference between finding all solutions and finding all solutions within a specific interval?

Answers

The process of verifying trigonometric identity involves the use of Pythagorean theorem, double angle formula etc. The similarity between verifying a trigonometric identity and solving an equation is that it both involves mathematical expressions.

What is the process of verifying a trigonometric identity?

1. The process of verifying a trigonometric identity involves using various trigonometric identities and properties to manipulate one side of the equation until it is simplified to the other side. This typically involves using algebraic manipulations, such as factoring and combining like terms, as well as trigonometric identities such as the Pythagorean identity, double angle formula, or sum and difference formula.

2. One similarity between verifying a trigonometric identity and solving an equation is that both processes involve manipulating mathematical expressions. However, a key difference is that verifying a trigonometric identity requires proving that the identity holds for all values of the variables involved, whereas solving an equation involves finding the specific values of the variables that make the equation true.

3. To find the value of cos120° using the sum or difference formula, we can use the fact that 120° is equal to 60° + 60°. We can then use the cosine sum formula, which states that cos(x+y) = cos(x)cos(y) - sin(x)sin(y), with x = y = 60°. This gives us:

[tex]cos(120\°) = cos(60\° + 60\°) = cos(60\°)cos(60\°) - sin(60\°)sin(60\°) = \frac{1}{2}*\frac{1}{2} - (\sqrt(3)/2)(\sqrt(3)/2) = -1/2[/tex]

Therefore, cos120° = -1/2.

4. The sign to use in the half-angle formula for sine and cosine depends on the quadrant in which the angle lies. If the angle is in the first or second quadrant, we use the positive sign. If the angle is in the third or fourth quadrant, we use the negative sign. For example, if we want to find sin(x/2) and x lies in the third quadrant (i.e., between 180° and 270°), we use the negative sign in the formula sin(x/2) = -√((1-cos(x))/2).

5. When solving a trigonometric equation, finding all solutions means determining all possible values of the variable that make the equation true, regardless of the range of values allowed for the variable. Finding all solutions within a specific interval, on the other hand, means restricting the values of the variable to a certain range and finding all possible solutions within that range. This is important because trigonometric functions are periodic and have infinitely many solutions, so it is often necessary to specify a range of values in order to obtain a finite set of solutions.

Learn more trigonometric identity here;

https://brainly.com/question/24496175

#SPJ1

matching question match the sets on the left with a true statement about the cartesian product of those sets on the right. {1, 2} x {3, 4} = {1, 2, 3, 4} x {3, 4, 5, 6} = {4, 5, 6, 7} x {4, 5, 6, 7} = {a, e, i, o, u} x {b, g, t, d} =
{1, 2, 3} x {1, 2, 4} =
Choose:
(5, 5) is a member.
its cardinality is 4. (2, 2) is a member. its cardinality is 20.
(4, 3) is a member.

Answers

The correct answer is: (4, 3) is a member. Its cardinality is 4.

Matching the sets on the left with a true statement about the Cartesian product of those sets on the right:{1, 2} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4)}{1, 2, 3, 4} × {3, 4, 5, 6} = {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 3), (3, 4), (3, 5), (3, 6), (4, 3), (4, 4), (4, 5), (4, 6)}{4, 5, 6, 7} × {4, 5, 6, 7} = {(4, 4), (4, 5), (4, 6), (4, 7), (5, 4), (5, 5), (5, 6), (5, 7), (6, 4), (6, 5), (6, 6), (6, 7), (7, 4), (7, 5), (7, 6), (7, 7)}{a, e, i, o, u} × {b, g, t, d} = {(a, b), (a, g), (a, t), (a, d), (e, b), (e, g), (e, t), (e, d), (i, b), (i, g), (i, t), (i, d), (o, b), (o, g), (o, t), (o, d), (u, b), (u, g), (u, t), (u, d)}{1, 2, 3} × {1, 2, 4} = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (2, 4), (3, 1), (3, 2), (3, 4)}The following are true statements about the Cartesian product of these sets:its cardinality is 4. (4, 3) is a member.

Therefore, the correct answer is: (4, 3) is a member. Its cardinality is 4.

Learn more about Cartesian product

brainly.com/question/30821564

#SPJ11

3.27 Underage drinking, Part 2: we learned in Exercise 3.25 that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 years old. What is the probability that 45 or more people in this sample have consumed alcoholic beverages? Answer is 0.0006

Answers

In conclusion, the probability that 45 or more people in a sample of fifty 18-20 year olds have consumed alcoholic beverages is 0.0006. This can be calculated by using the binomial distribution formula or by visually representing the data in a probability tree diagram.

The probability that 45 or more people in a sample of fifty 18-20 year olds have consumed alcoholic beverages is 0.0006. This can be determined by using the binomial distribution formula. The formula states that the probability of getting x successes in n trials is equal to nCr x (p)x (1-p)n-x, where n is the number of trials (in this case, 50), p is the probability of success (69.7%), and x is the number of successes (45). By plugging these values into the formula, we obtain a probability of 0.0006.

In addition to the binomial distribution formula, we can also use a visual representation such as a probability tree diagram to represent the given data. The probability tree diagram can be used to show the number of ways a certain outcome can occur. In this case, it would be the probability of 45 or more people in the sample of fifty 18-20 year olds consuming alcoholic beverages. The probability tree diagram consists of a trunk which branches off into multiple possible outcomes. At the end of each branch, there is a probability that corresponds to the probability of the given outcome occurring.

for such more questions on binomial distribution formula

https://brainly.com/question/29438024

#SPJ11

the city cafe is known for their vegetable plate lunch special that comes with four vegetables, cornbread, and sweet tea. if the four vegetables can be selected from a list of ten vegetables, what formula should be used to determine how many different vegetable plates are there? assume no vegetable is selected more than once

Answers

From the given list of vegetables, the number of different ways in which these vegetables can be selected from a list of vegetables such that no vegetable is selected more than once given here by the formula of Combination, which is: [tex]^nC_k[/tex] = n!/[k!(n-k)!].

What is the formula for vegetable plates?

The city café is known for its vegetable plate lunch special that comes with four vegetables, cornbread, and sweet tea. If the four vegetables can be selected from a list of ten vegetables, the formula to determine how many different vegetable plates there are would be a combination of 10 vegetables taken 4 at a time.

The number of different ways that four vegetables can be selected from a list of ten vegetables is given by the formula of Combination, which is:

[tex]^nC_k[/tex] = n!/[k!(n-k)!]

where, n = number of elements in the set = 10 vegetables

k = number of elements chosen = 4 vegetables

n - k = number of elements not chosen = 10 - 4 = 6 vegetables

Therefore, the number of different vegetable plates is:

[tex]^nC_k[/tex] = 10!/ [4!(10-4)!]

[tex]^nC_k[/tex] = (10×9×8×7)/ (4×3×2×1) = 210

Hence, there are 210 different vegetable plates.

Learn more about Combination here:

https://brainly.com/question/13387529

#SPJ11

For her phone service, Leila pays a monthly fee of $27, and she spends an additional $0.06 per minute of use. The least she has been charged in a month is $102.90.
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.

Answers

Answer:

Step-by-step explanation:

First Of all, Say the N-word, Now if she said the N-word, shell be given 27 dollars,Now I need to do my Homework, if i made you laugh, mark me the Brainliest

you have spent $2,500 on liquor for your bar. your bar sales have been $12,890. what is your cost of sales for liquor, expressed as a percentage?

Answers

The cost of sales for liquor, expressed as a percentage is 19.39%.

What is the cost of sales for liquor in percentage?

To compute for the cost of sales for liquor, expressed as a percentage given that you have spent $2,500 on liquor for your bar and your bar sales have been $12,890, you can use the formula:

Cost of sales = (Cost of Goods Sold / Total Sales) × 100

where, Cost of Goods Sold (COGS) = Beginning Inventory + Purchases - Ending Inventory (or the total cost of goods sold during the period)

Total Sales = Gross sales - Sales discounts - Sales returns and allowances

Let's compute for the COGS first:

COGS = Beginning Inventory + Purchases - Ending Inventory

= $0 + $2,500 - $0

= $2,500

Total Sales = Gross sales - Sales discounts - Sales returns and allowances

= $12,890 - $0 - $0

= $12,890

Cost of sales is obtained as follows:

Cost of sales = (Cost of Goods Sold / Total Sales) × 100

= ($2,500 / $12,890) × 100

= 19.39%.

Therefore, the cost of sales for liquor, expressed as a percentage is 19.39%.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ11

I don't really understand how to do reference angles. I only need the last one, -60 degrees, does anyone know how to figure out it's reference angle?

Answers

Answer: 60?

Step-by-step explanation:

The reference angle is the acute angle formed between the terminal side of an angle in standard position and the x-axis. To find the reference angle of an angle, you can follow these steps:

Determine the quadrant in which the angle terminates. For -60 degrees, this would be the fourth quadrant.

Determine the corresponding angle in the first quadrant by finding the angle formed between the terminal side and the x-axis. In the fourth quadrant, this angle is equal to 360 degrees minus the original angle. So for -60 degrees, the corresponding angle in the first quadrant is 360 - 60 = 300 degrees.

Subtract this angle from 360 degrees to find the reference angle. For -60 degrees, the reference angle is 360 - 300 = 60 degrees.

Therefore, the reference angle of -60 degrees is 60 degrees.

Two cars are driving away from an intersection in perpendicular directions. The first cars velocity isms 7 meters per second and the second cars velocity is 3 meters per second. At a certain instant, the first car is 5 meters from the intersection and the second car is 12 meters from the intersection. What is the rate of change of the distance between the cars at that instant?

Answers

The rate of change of the distance between the cars at that instant is 5.46 meters/ second.

The first car's velocity = 7 meters per second

The second car's velocity = 3 meters per second.

Distance from the intersection of first car = 5m

Distance from the intersection of second car = 12m

The rate of change is used to numerically quantify the percentage change in value over a predetermined period of time. It is a measure of a variable's velocity.

Calculating the distance between both cars at the instant

= √(12² + 5²)

= √ 144 + 25

= √169

= 13

Calculating the rate of change of distance -

2d/dt

= d(x² + y²)/dt

= 2x dx/dt + 2ydy/dt

= 2×5×7 + 2×12×3

= 70 + 72

= 142

Therefore, total distance -

dd/dt

= 142/26

= 5.46

Read more about the rate of change on:

https://brainly.com/question/25184007

#SPJ4

q1.2 (3pts) an automated weight monitor can detect underfilled cans of beverages with probability 0.98. what is the probability it fails to detect an underfilled can for the first time when it encounters the 10th underfilled can?

Answers

The probability that it will fail to detect an underfilled can for the first time when it encounters the 10th underfilled can is approximately 0.005.

Since the probability that an automated weight monitor detects underfilled cans of beverages is 0.98, the probability that it will not detect an underfilled can for the first time when it encounters the 10th underfilled can is given by:

(1 - 0.98)10-1(0.98)

Using the formula above, we will solve for the probability below:

(1 - 0.98)10-1(0.98)≈0.005

Thus, the probability that it will fail to detect an underfilled can for the first time when it encounters the 10th underfilled can is approximately 0.005.

To learn more about probability refer :

https://brainly.com/question/30266538

#SPJ11

Part A: Graph the system of equations {−2x+y=6x−y=1

Part B: Determine the solution from Part A.

Answers

Answer:

Step-by-step explanation:

An important math tool is graphing. It can be a straightforward method for introducing more general concepts like most and least, greater than, or less than. It can also be a great way to get your child interested in math and get them excited about it. Using graphs and charts, you can break down a lot of information into easy-to-understand formats that quickly and clearly convey key points.

Given equation 2x + y = 6 we can drive from this equation that at x = 0 y will be 6 and y =0 x will be 3 hence we have two points of the line (0,6) and (3,0)

From the Given equation (2) 6X + 3Y = 12 we can drive from this equation that at x = 0 y will be 4 and y =0 x will be 2 hence we have two points of the line (0,4) and (2,0).

cos(-180").tan 8.cos 690 sin (8-180) cos² (6-90) (5)​

Answers

cos(-180°) = -1

tan 8° = 0.1425

cos 690° = 0

sin (8-180°) = - sin 172° = - 0.9997

cos² (6-90°) = cos(-84°) = 0.4997

Therefore, the answer to the expression is -0.4997.

what is the surface area of the net of this square pyramid?​

Answers

Answer:

64sq cm

Step-by-step explanation:

To find area of net of square pyramid, you have to find area of the 4 triangles and area of square bottom.

Triangle Area = 1/2bh (times 4 because there are 4 triangles.

Square Area = lw

TA= 4(1/2bh)

4(1/2*4*6)

4(1/2*24)

4(12)

TA= 48 sq cm

SA= lw

4*4

SA= 16 sq cm

48 sq cm + 16 sq cm = 64 sq cm

#Brainlist! Help! Will! Make! You! Brainlist!

Show all steps and how you got the answer

Answers

Answer:

x = 8500

y = 15000

Step-by-step explanation:

small vans: x

large vans: y

A: 5x + 2y = 72500

B: 2x + 6y = 107000

5x + 2y = 72500 => y = (72500 - 5x)/2

2x + 6(72500 - 5x)/2 = 107000

2x + 217500 - 15x = 107000

15x - 2x = 217500 - 107000

13x = 110500

x = 110500/13 = 8500

y = (72500 - 5x)/2 = y = (72500 - 5x8500)/2 = 15000

To perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one or two separate steps, and the second procedure requires either one, two, or three steps. a. List the experimental outcomes associated with performing the blood analysis. (1), (2), (3), (1, 1), (1, 2), (1,3), (2, 1), (2, 2), (2,3) b. Let z denote the total number of steps required to do the complete analysis (both procedures). Show what value of random variable will assume for each of the experimental outcomes. (If an outcome does not occur, enter "0.) Experimental Outcomes Value of a (2) (3) (1,1) (1,2) (1,3) (2.1) (2, 2) (2.3) (3.1) (3,2) (3.3)

Answers

For the blood analysis, there are a total of twelve possible experimental outcomes. The value of random variable  for each of the experimental outcome is zero.

Therefore it can be shown as:

a. The experimental outcomes associated with performing the blood analysis are:

List out all the possible outcomes that can occur during the blood analysis.

The outcomes are based on the number of steps required for each of the procedures, with the first procedure having either one or two steps, and the second procedure having either one, two, or three steps.

   (1) - First procedure requires one step, second procedure requires one step

   (2) - First procedure requires two steps, second procedure requires one step

   (3) - First procedure requires two steps, second procedure requires two steps

   (1,1) - First procedure requires one step, second procedure requires one step

   (1,2) - First procedure requires one step, second procedure requires two steps

   (1,3) - First procedure requires one step, second procedure requires three steps

   (2,1) - First procedure requires two steps, second procedure requires one step

   (2,2) - First procedure requires two steps, second procedure requires two steps

   (2,3) - First procedure requires two steps, second procedure requires three steps

b. Let z denote the total number of steps required to do the complete analysis. The value of the random variable for each of the experimental outcomes is:

It defines the value of the random variable, z, which denotes the total number of steps required to complete the analysis. It then provides the value of z for each of the experimental outcomes. For instance, outcome (1) requires one step in the first procedure and one step in the second procedure, so the value of z is 1+1=2. Similarly, for outcome (2), the value of z is 2+1=3.

   (1) - z = 1 + 1 = 2

   (2) - z = 2 + 1 = 3

   (3) - z = 2 + 2 = 4

   (1,1) - z = 1 + 1 = 2

   (1,2) - z = 1 + 2 = 3

   (1,3) - z = 1 + 3 = 4

   (2,1) - z = 2 + 1 = 3

   (2,2) - z = 2 + 2 = 4

   (2,3) - z = 2 + 3 = 5

   (3,1) - z = 2 + 1 = 3

   (3,2) - z = 2 + 2 = 4

   (3,3) - z = 2 + 3 = 5

If an outcome does not occur, the value of the random variable is 0.This is because the outcome did not happen, and there was no analysis to perform.

To learn more about the experimental outcomes:

https://brainly.com/question/21390514

#SPJ11

NEED HELP

5. Find the value of the variables of t and s

Answers

In given triangle, the value of t is 3.75 and the value of s is 10.4.

What are the 3 sides of a triangle?

In a right triangle, the hypotenuse is the longest side, a "opposite" side is the one across from a given angle, and a "adjacent" side is close to a given angle. We use unique terminology to describe the sides of right triangles.

We can set up the following ratios because the two triangles in the illustration are comparable to one another:

t / 5 = 6 / 8 (using the smaller triangle)

s / 13 = 8 / 10 (using the larger triangle)

Simplifying these ratios, we get:

t / 5 = 3 / 4

s / 13 = 4 / 5

We may cross-multiply and simplify to find t and s:

t = 5(3/4) = 15/4 = 3.75

s = 13(4/5) = 10.4

To know more about triangle visit:-

https://brainly.com/question/2773823

#SPJ1

Please help me with this question thank you

Answers

Answer:

∠DCB = 32

Step-by-step explanation:

∠A + ∠B = 90

∠B = 90 - ∠A = 90 - 32 = 58

∠DCB + ∠B = 90

∠DCB = 90 - ∠B = 90 - 58 - 32

Other Questions
A mutation that actually interferes with the function of the wild-type allele by specifying polypeptides that inhibit, antagonize, or limit the activity of the wild-type polypeptide is known as: What type of analysis focuses on the ways in which processes can be designed to optimize interaction between firms and their customers?Select one:a. OIb. PLMc. PCNd. DFMAe. BOM 4. how would pantheism or atheism (choose one) view human nature, human purpose, and human flourishing? In object-oriented design, objects may know how to communicate with one another across well-defined _______, but normally they are not allowed to know how other objects are implemented. This is known as information _______. Marketers can classify business-to-business buying situations into three general categories:A. new buy, repeat purchase, and modified purchase.B. new buy, straight rebuy, and modified rebuy.C. consumer, government, and institutional.D. retail, wholesale, and resell.E. new purchase, modified purchase, and extended purchase. The data show the age and location of rocks on the sea floor.Distance from mid ocean ridge, 10 kilometers, age, 300,000 years. Distance, 25 kilometers, age, 1 million. Distance, 40 kilometers, age 1 million 625,000 years.Describe the relationship between the age of the rocks and their distance from the mid-ocean ridge.Determine whether the rate of plate movement is a slow or fast process. An inbred strain of plants has a mean height of 24 cm. A second strain of the same species from a different country also has a mean height of 24 cm. The F1 plants from a cross between these two strains are also 24 cm high. However, the F2 generation shows a wide range of heights; the majority are like the P1 and F1 plants, but approximately 4 of 1000 are only 12 cm high, and 4 of 1000 are 36 cm high. (a) What mode of inheritance is occurring here?(b) How many gene pairs are involved?(c) How much does each gene contribute to the plant height?(d) Indicate one possible set of genotypes of the P1 and F1 plants that could explain their heights. (e) Indicate one possible set of genotypes to account for F2 plants that are 18 cm or 33 cm high 2. The hummingbird makes a humming sound with its wings, which beat with a frequency of 90.0 Hz. Suppose a mass is attached to a spring with a spring constant of 2.50 x 10 N/m. How large is the mass if its oscilla- tion frequency is 3.00 x 10 times that of a hummingbird's wings? The graph of f(x)= x^2 is transformed by a vertical reflection, then a horizontal compression by a factor of 2, then a horizontal translation 3 units to the right, and finally a vertical translation of 5 units up. -What is the equation of the transformed function? -What is the domain and range of the transformed function? properties of the rectangle, rhombus, and square - practice determine if the following statements answers James owns a restaurant and has 216 two-literbottles of soda to use for the soda machines, but wants to save space by pouring all the soda into one-gallon jugs. How many jugs does James need to hold all of the soda? Round your answer to three decimalplaces, if necessary. Use 1 gal = 3. 785 L 4. How does Gen Scott attempt to relate to the Cherokee? how was reconstruction changed by the assassination of president abraham lincoln? At what point in the history of imprisonment did a secular view of ethics, rights, and privileges begin to emerge in the U.S.? patients who are suspected to have tuberculosis should be placed on what type of precautions Compute the value of the expression without using a calculator modeling real life find the height of the roller coaster using two different methods. round your answers to one decimal place.a roller coaster. a right triangle is formed by taking the length of the roller coaster, 283 feet as the hypotenuse. the height of the triangle measures x feet. the angle between the hypotenuse and the height of the triangle measures 45 degrees. a person with schizophrenia hears multiple voices inside his head talking to him at the same time and forcing him to do things. it may be inferred that he is experiencing the symptom of One year ago, JK Mfg. deposited $20,839 in an investment account for the purpose of buying new equipment four years from today. Today, it is adding another $22872 to this account. The company plans on making a final deposit of $20,217 to the account one year from today. How much will be available when it is ready to buy the equipment, assuming the company earns 10.91% APR on its invest funds? if there is a problem with the citric acid cycle (krebs cycle), which biophysical response would occur?