Do you think you can relate the given quantity to the indicated amount using more than one symbol? Why?

Answers

Answer 1

Yes, you can relate a given quantity to the indicated amount using more than one symbol.

In mathematics, symbols are used to represent mathematical objects and operations, making it easier to understand and communicate mathematical ideas.

Each symbol has a specific meaning and can be used in different ways to represent the same quantity.

For example, the number 7 can be represented by the numeral 7, the Roman numeral VII, or even the symbol 7 in scientific notation. All of these symbols represent the same quantity, but they each have a different context and use.

The numeral 7 is commonly used in everyday life, the Roman numeral VII is used in ancient times and in some specific contexts, and the scientific notation 7 x 10⁰ is used in scientific and mathematical calculations.

Similarly, in algebra, a variable such as x can represent a quantity and can be used in different ways to represent the same value.

For example, the equation x + 3 = 6 can be solved for x to find that x = 3. This same value can also be represented by the expression 3x, which shows that x is equal to 3.

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Related Questions

Graph of.... 3 3=0 Y axis Solve the equation oc²³²= 2xx - 3=0 graphically x-20-3=0 Let you² - 2c-3 when y=0 you can find oc OC -2-1 oc² 1 4 4 2244 O O O Scale x axis -3-3-3-3 1 2 345 T 4 9 16 25 -2 -4 -6 -8 -10 -3-3-3-3-3 5/01-310-3 10 15/12​

Answers

The solution to the equation does not exist

How to determine the solution to the equation

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Ms. Jackson wants to rent a small truck for a week. It will cost the weekly fee plus $0. 20 per mile driven. Let m = the number of miles Ms. Jackson drives during the week. Use this information and the table to answer 13-15. ​

Answers

Algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is $340 + 0.30m.

Describe Algebraic equation?

An algebraic expression does not contain an equal sign and cannot be solved like an equation, but it can be simplified or manipulated using algebraic rules. For example, the expression 2x + 3y is an algebraic expression, where x and y are variables.

The amount that Ms. Jackson will pay for the small truck for the week can be expressed as the weekly fee plus the cost of driving the truck for the number of miles driven.

Let's call the weekly fee "wf" and the cost per mile driven "cpm". Then, the total amount that Ms. Jackson will pay can be expressed as:

wf + cpm × m

From the table, the weekly fee for a small truck is $340 and the cost per mile driven is $0.30. So, the algebraic expression for the total amount that Ms. Jackson will pay for a small truck for the week can be expressed as:

wf + cpm × m = $340 + $0.30 × m = $340 + 0.30m

where m is the number of miles Ms. Jackson drives during the week.

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The complete question is :

Ms. Jackson wants to rent a small truck for a week. It will cost the weekly fee plus $0.30 per mile driven. Let m = the number of miles Ms. Jackson drives during the week. Use this information and the table to answer 13-15.

Vehicle               Week         Day

Van                     $320           $90

Small Truck         $340           $100

Medium Truck    $360            $110

Large Truck        $385             $120

Oversized Truck $415             $130

13a. Write an algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week.

A and B are two similar 2D shapes. The area of shape A is 200cm^2. Calculate the area of shape B.

Answers

The area of shape B is 312.5 cm²

Let us assume that the area of the shape B is m square units.

Here, the dimensions of shape A is 12 cm and the area of the shape A is 200 cm²

The dimensions of shape B is 15 cm and the area of the shape B is m cm²

Since A and B are two similar 2D shapes their dimensions must be in proportion.

So, we get an equation,

⇒ A² / B² = 200 / m

⇒ 12² / 15² = 200 / m

⇒ 144 / 225 = 200 / m

⇒ m = (225/144) × 200

⇒ m = 312.5 cm²

Therefore, the area of shape B is 312.5 cm²

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The complete question is:

A and B are two similar 2D shapes. The area of shape A which is 12cm is 200cm squared. Calculate the area of shape B which is 15cm.

12. A car is traveling at 55 mi/h before it enters into a skid. The drag factor of the
road surface is 1.1, and the braking efficiency is 100%. How long might the
average skid mark be to the nearest tenth of a foot?

A. 98.5 ft

B. 77.4 ft

C. 68.7 ft

D. 91.7 ft

Answers

The average skid mark for the car is 91.7 feet. Option D

How to calculate the average skid

The average skid mark can be calculated by the formula -

S = ✓30Dfn,

where;

s is speed of car,

D is skid distance,

f is drag factor and

n is braking efficiency.

Using the values in formula to calculate the value of D.

55 = ✓30 × D × 1.1 × 1

Performing multiplication on Right Hand Side of the equation

55 = ✓D × 33

Taking square on both sides of the equation

D = 55² ÷ 33

Taking square on numerator on Right Hand Side of the equation

D = 3025 ÷ 33

Performing division on Right Hand Side of the equation

D = 98.45 feet

Rounding to the nearest tenth of a foot

D = 91.7 feet

Hence, the average skid mark is 91.7 feet.

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Find the sum of the first 10 terms of the following sequence. Round to the nearest
hundredth if necessary.
25,
29,
33.64,..

Answers

The sum of the first 10 terms of the following geometric sequence is  437.5.

What is a geometric sequence?

The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc;

Given;

The terms 25,29,33.64

a = 25

d = 29/25

The sum of 1st 10 term will be=  (a - ar^9)/1-r

= (25-25*(3.802))/1-29/25

=70/0.16

=437.5

Therefore, the sum of sequence will be 437.5;

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how mant ways can a 7 members team be selected out of 9 girls and 5 boys if the members of the team only have only 3 boys

Answers

To select a 7-member team consisting of 3 boys and 4 girls out of 9 girls and 5 boys , there are 1260 ways.

To find the number of ways to select a 7-member team consisting of 3 boys and 4 girls out of 9 girls and 5 boys, you can use the formula for combinations:

C(n, k) = n! / (k! * (n - k)!)

where n is the total number of items (9 girls and 5 boys), k is the number of items to be selected (3 boys and 4 girls), and ! represents the factorial function.

So, the number of ways to select 3 boys out of 5 boys is:

C(5, 3) = 5! / (3! * (5 - 3)!) = 5! / (3! * 2!) = 10

And the number of ways to select 4 girls out of 9 girls is:

C(9, 4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = 126

Finally, the number of ways to select a team of 7 members consisting of 3 boys and 4 girls is:

C(14, 7) = 10 * 126 = 1260

So, there are 1260 ways to select a 7-member team consisting of 3 boys and 4 girls out of 9 girls and 5 boys.

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Please help I have a learning disabilty and need help with this
Distribute. 8(3x + 9)
Answer ______________________

Answers

Answer:

3

Step-by-step explanation:

8(3x + 9)

24x + 72 =0

24x = -72

x = -72/24

x = -3

Nico wants to use a horizontal number line to compare 13 4 and 1. 5. He is unsure how to do it and asks you for help. How would you explain the process?

Answers

The order from smallest to largest is 1.5, 4, 13.

To compare numbers using a horizontal number line, simply need to place each number on the line and see which one is farther to the right (greater) or to the left (less).

Here's how to compare 13, 4 and 1.5 on a number line:

Draw a horizontal number line and label it with numbers, making sure to include the numbers you want to compare.Place each number on the line, with the smaller numbers to the left and the larger numbers to the right.Look at the position of each number relative to each other. The numbers farther to the right are greater, while the numbers farther to the left are less.

So, in this case, 1.5 is to the left of 4, which is to the left of 13. Therefore, the order from smallest to largest is 1.5, 4, 13.

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Two part question.

Use the real-world situation below to answer both parts of the question.


Randy needs to buy school supplies. He needs a headset that costs $30.00. He also needs notebooks that cost $3.00 each.


Part 1


Complete the table to determine his total cost for a given number of notebooks.


Format your response using 2 decimal places and NO symbols. Example: 25.00



Part 2


Graph the linear relationship

Answers

Part 1 is given in the attached image.

Part 2:

The linear equation is y = 3x

The graph of the equation is given in the attached image.

What is linear equation?

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Randy needs to buy school supplies.

He needs a headset that costs $30.00.

He also needs notebooks that cost $3.00 each.

Part 1 is given in the attached image.

Part 2:

The linear equation is y = 3x

The graph of the equation is given in the attached image.

Hence, all the solution of part 1 and 2 is given above.

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One player on the team wants to emphasize that his

team generally scored a lot of points. Which measure

of center should he report: the mean or the median?

O He should report the mean.

O He should report the median.

O He could report either because they are equal.

o The exact number of points per game are needed to

decide

Answers

If the player wants to emphasize that his team generally scored a lot of points, it might be best to report the median.

The median and the mean are both measures of center in statistics. They help to describe where the center of the data set is located, but they are not the same thing.

The mean is calculated by adding up all the values in the data set and then dividing by the number of values. It gives a good overall picture of the average of the data set, but it is sensitive to outliers or extreme values.

On the other hand, the median is the middle value in a data set when the values are arranged in order.

To find the median, you must first arrange the values in order and then identify the middle value. If there are an even number of values, the median is the average of the two middle values.

The median is not as sensitive to outliers or extreme values as the mean, so it gives a more accurate picture of the center of the data set when there are outliers or extreme values.

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if ac=12 and dc=8, find ab

Answers

The length of AB cannot be determined with only the information given. To find AB, we need additional information such as the length of BC or the angle between AB and AC.

Answer:

This problem is unsolvable because their is no form of "b" so not enough info.

Write the expression that is equivalent to (2x+5)(3x+1)
.

Answers

Answer & Step-by-step explanation:

To multiply these two binomials, we can use the distributive property as follows:

(2x+5)(3x+1) = 2x(3x+1) + 5(3x+1)

Now, we can simplify each term:

2x(3x+1) = 6x^2 + 2x

5(3x+1) = 15x + 5

Putting these back together, we get:

(2x+5)(3x+1) = 6x^2 + 2x + 15x + 5

Simplifying the middle two terms, we get:

(2x+5)(3x+1) = 6x^2 + 17x + 5

Therefore, the expression that is equivalent to (2x+5)(3x+1) is 6x^2 + 17x + 5.

Hope it helps!

Mr. Ross is painting a wall that has an area of 142.5 square feet. He uses
3/4 gallon of paint to paint 1/5 of the wall.
How many gallons of paint will he need to paint the entire wall.

Answers

Answer:

Step-by-step explanation:

Say, in relation 3/4 gal of paint : 1/5 of wall. The decimal equivalent is 0.75 : 0.2. With this info., you can multiply 0.2 to get 1 which is equivalent to 1/5 X 5 to get 5/5. What you do to one side, you do to the other, so 0.75 X 5, which gives you 3.75 gal of paint. Round it to 4. So the final answer is 4 gal of paint.

3/4 : 1/5  ->  0.75 : 0.2  ->  5 x 0.75 : 0.2 x 5  ->  5 x 3/4 : 1/5 x 5

15/4 : 5/5  ->  3.75 : 1  = about 4 gals of paint b/c you can't just buy 3.75 gals of paint.

You tried 8 of the frozen yogurt flavors shown. In which two ways can you write the fraction of flavors that you tried?

Answers

The solution is, 128 combinations.

What is combination?

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

here, we have,

We are told in the question that a frozen yogurt shop has:

8 flavors of frozen yogurt

2 kinds of syrup

8 toppings.

The combinations that can be made with one flavor of frozen yogurt, one syrup, and one topping is calculated as:

8 × 2 × 8

= 128 combinations

Therefore, the combinations that can be made with one flavor of frozen yogurt, one syrup, and one topping is 128 combinations.

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can you tell me what is 274699÷47682​

Answers

Answer:

5.76106287

Step-by-step explanation:

Answer: 5.76106287488

Step-by-step explanation:

I really need help with this. I am so confused.

Answers

the dilation is 1/3.

you can look at BC on the figure and see it is six units.

BC' = 2 units. the apostrophe indicates it is the prime, which means is the result of the transformation.


answer is C

A family has a flower garden in the shape of a parallelogram in their backyard. They planted grass in the rest of the yard. What is the area of the backyard that is planted with grass?

Answers

Area of the backyard is 9000 sq.ft. Area of the flower garden is 60 sq.ft. So the area of backyard planted with grass will be 8940 sq.ft.

Here the backyard is in rectangular shape and the flower garden is a parallelogram.

Backyard has a length  of 120ft and a width of 75ft. Area of a rectangle is given by the equation

Area of rectangle = length× width = 120×75 =9000 sq.ft

Area of backyard = 9000 sq.ft

The flower garden is a parallelogram with base 12 ft and height 5 ft.

Area of a parallelogram =  Base× height = 12×5 = 60 sq.ft

Area of flower garden = 60 sq.ft

All the remaining area is planted with grass. So, the area of the portion of backyard planted with grass = Total area of backyard- area of the flower garden.

Area planted with grass = 9000-60 = 8940 sq.ft

So the area of the backyard is 9000 sq.ft, area of the flower garden is 60 sq.ft and area planted with grass is 8940 sq.ft.

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Full question is given as image.

g ference about regression parameters. project 2.63 in the book. also carry out the analysis of variance (anova) for each regression model and state the results of the f-tests. what do you conclude in each case?

Answers

The ANOVA for each regression model shows that the overall F-test is significant, which means that at least one of the regression parameters is significant. This indicates that the regression model is useful for predicting the outcome.

The ANOVA for each regression model was conducted to determine whether the overall model is significant. To do this, an F-test was used to compare the sum of squares (SS) of the regression model versus the residual error (RSS). If the F-test is significant, then at least one of the regression parameters is significant and the model is useful for predicting the outcome. In both cases, the F-test was significant which indicates that the regression model is useful for predicting the outcome. The ANOVA also provides information about the individual parameters, such as the p-value associated with each parameter, which can be used to determine which parameters are significant. Overall, this indicates that the regression model is a useful tool for predicting the outcome and can be used to make informed decisions.

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Write down the next two terms of the sequence 1,49

Answers

The next two terms of the sequence are 16 and 25.

What is Square Root?

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

For example, square root of 16 is 4 since 4 × 4 = 16

Given the sequence 1, 4, 9.

We have to find the next two terms of the sequence.

1 = 1²

4 = 2²

9 = 3²

The next two terms will be the square of 4 and 5.

4² = 16

5² = 25

Hence the two terms next to the sequence are 16 and 25.

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STIGATION A [27] Investigate the intersection of a straight line and a parabola. 1. Name the three ways that a linear function and a quadratic function can intersect. Do rough sketches to illustrate your answers. (3)​

Answers

The three ways a linear function (a straight line) and a quadratic function (a parabola) can intersect are:

Two intersections: The line and the parabola intersect at two distinct points, meaning that the line cuts through the parabola.One intersection: The line and the parabola intersect at one point, meaning that the line is tangent to the parabola at that point.No intersections: The line and the parabola do not intersect, meaning that the line and the parabola do not touch and are separate from each other.Here are rough sketches to illustrate the three possibilities:

     /

    /

   /

  /

 /

/

/____________

Two intersections

\          /

\        /

 \      /

  \    /

   \  /

    \/

/____________

No intersection

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i need help with this question

Answers

Answer: this would be how the numbers should look on the x axis so you can reflect them on the x axis:)

Step-by-step explanation:

Answer:

63-3-6

Step-by-step explanation:

You want the values of x that correspond to y-values of -2, 0, 4, 6, given the relation y = -2/3x +2.

Graph

One way to find the x-values is to read them from a graph of the equation. That is what we have done in the first attachment. This tells us the table is ...

  [tex]\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&-2\\3&0\\-3&4\\-6&6\\\cline{1-2}\end{array}[/tex]

Solve for x

You can solve the equation for x, then use that with the given y-values.

  y = -2/3x +2

  y -2 = -2/3x . . . . . subtract 2

  -3/2(y -2) = x . . . . . multiply by -3/2

Using the given y-values, we find the corresponding x-values to be ...

  -3/2({-2, 0, 4, 6} -2) = -3/2{-4, -2, 2, 4} = -3{-2, -1, 1, 2} = {6, 3, -3, -6}

These are the values that we obtained from the graph.

  For y = {-2, 0, 4, 6}, x = {6, 3, -3, -6}.

__

Additional comment

A graphing calculator or spreadsheet can process a list of numbers for you, so you don't have to enter the same computation over and over.

an urn contains four colored balls: two orange and two blue. two balls are selected at random without replacement, and you are told that at least one of them is orange. what is the probability that both balls are orange?

Answers

The probability of drawing two orange balls, given that at least one ball is orange, is 1/5.

There are a total of 6 possible outcomes when selecting 2 balls from the urn without replacement: (O,O), (O,B), (B,O), (B,B), (O,B), (B,O).

The event that at least one of the balls selected is orange corresponds to the outcomes (O,O), (O,B), and (B,O). The probability of this event is the sum of the probabilities of the individual outcomes:

P(at least one orange) = P(O,O) + P(O,B) + P(B,O)

To calculate the individual probabilities, we can use the formula for the number of combinations of n items taken k at a time:

C(n,k) = n! / (k! (n-k)!).

The probability of each outcome is the number of ways it can occur divided by the total number of possible outcomes:

P(O,O) = C(2,2) / C(4,2)

= 2! / (2! (2!)) / (4! / (2! (2!)))

= 1/6

P(O,B) = C(2,1) * C(2,1) / C(4,2)

= 2 * 2! / (1! (2!)) / (4! / (2! (2!)))

= 2/6

P(B,O) = P(O,B) = 2/6

So,

P(at least one orange) = 1/6 + 2/6 + 2/6

=> 5/6

And the probability that both balls are orange is:

P(both orange) = P(O,O) = 1/6.

So, the probability of drawing two orange balls, given that at least one ball is orange, is 1/5.

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I need help with this problem p

Answers

The initial value is 20000 and it is a growth function

The rate is 14%

How to determine the initial value

From the question, we have the following parameters that can be used in our computation:

v(t) = 20000(1.14)^t

A function represented as

v(t) =ab^t has teh following features

Initial value = a

Growth/Decay factor = b

This means that

Initial value = 20000

Also, we have

Growth factor = 1.14

This means that

Percentage rate = 1.14 - 1

Percentage rate = .14

So, we have

Percentage rate = 14%

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A triangle is inside a trapezoid. Is the
triangle a right triangle? Explain.

10 in.
V181 in.
9 in.

Answers

Answer: The triangle is a right triangle, as it has a right angle.
The triangle is right since it satisfies the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

10^2 + 9^2 = (sqrt181)^2
100 + 81 = 182
181 = 181 :)

Taco Johns is soon opening in Caledonia. It's massive news. Right now Caledonia has 13 fast food
restaurants. It's expected over the next 4 years the number of fast food restaurants in Caledonia will increase
to 21 restaurants. Write an equation to relate the number of fast food restaurants in Caledonia as a function of
time.

Answers

Step-by-step explanation:

let's say x stands for years.

FFR(x) is a function that calculates the number of fast food restaurant after x years.

FFR(x) = 2x + 13

they have 13 fast food restaurants right now (x = 0).

in 4 years (x = 4) they think they will have 21. that is 8 more than now. that means 2 more per year (2×4 = 8). therefore the factor 2 for every year (x).

FFR(4) = 2×4 + 13 = 8 + 13 = 21

Bashir is going to invest in an account paying an interest rate of 5.7% compounded quarterly. How much would Bashir need to invest, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years?

Answers

Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

Describe Investment?

Investment refers to the allocation of money or capital to an asset or a project with the expectation of generating a profit or earning an income. Investment can take many forms, including the purchase of stocks, bonds, real estate, or other financial products, as well as the financing of a business or a startup.

Investing involves risk, as the potential return on investment is not guaranteed. Investors must carefully evaluate the potential risks and returns of each investment opportunity before deciding where to allocate their capital.

Investment can be divided into two main categories: short-term and long-term. Short-term investments, such as savings accounts and money market funds, offer relatively low returns but also have lower risk. Long-term investments, such as stocks and real estate, have higher potential returns but also higher risk.

To find the amount that Bashir needs to invest to reach $29,000 in 19 years, we can use the formula for the future value of an investment:

Future Value = Principal * (1 + (Interest Rate ÷ Number of Compounding Periods))^(Number of Compounding Periods x Time in Years)

In this case, the interest rate is 5.7% compounded quarterly, so:

Interest Rate ÷ Number of Compounding Periods = 5.7 ÷ 4 = 1.425%

And the time in years is 19, so the number of compounding periods is 4 * 19 = 76.

Now, we can plug in the values into the formula:

Future Value = Principal * (1 + (1.425 ÷ 100))^(76)

Future Value = Principal * (1.01425)^76

Future Value = 29,000

Solving for Principal, we get:

Principal = 29,000 ÷ (1.01425)^76

Rounding to the nearest hundred dollars, we get:

Principal = $18,900

So, Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

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the 99% confidence interval estimate for a population variance when a sample standard deviation of 12 is obtained from a sample of 10 items is

Answers

This indicates that the population variance is, with 99% confidence, between 8.53 and 9.35.

The chi-square distribution can be used to compute the population variance's 99% confidence interval estimate based on a sample standard deviation of 12 and a sample size of 10.

The confidence interval's formula is:

(s² / X²) * (n - 1) < σ² < (s² / X²) * n

Where X² is the upper percentile of the chi-square distribution with n-1 degrees of freedom, n is the sample size (10), and s² is the sample variance  (12² = 144).

Using a chi-square table with 9 degrees of freedom and a 99% level of confidence, we can determine that  X² = 16.919 As a result,

the population variance's confidence interval is:

(144 / 16.919) * (10 - 1) < σ² < (144 / 16.919) * 10

(8.53 < σ² < 9.35)

This indicates that the population variance is, with 99% confidence, between 8.53 and 9.35.

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need helppp
plss
schoology

Answers

Answer:

62°

Step-by-step explanation:

a = 90° -28° the answer is 62°

Answer:

62 degrees

Step-by-step explanation:

we say 90 degrees-28 degrees=62 degrees

What is the quotient?
x+5) 3x² +4x+5

3x² - 11+
60
X+5

3x - 11+ 60
x+5

O3x²-1150
X+5

3x-11 50
X+5

Answers

Answer:

[tex]3x -11 + \frac{60}{x+5}[/tex]

Step-by-step explanation:

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an approximate size which does not represent any of the actual dimensions of the unit is/are

Answers

An approximate size which does not represent any of the actual dimensions of the unit is nominal value.

The phrase "nominal number" is said to be quite new and rarely used. It seems to have come from the statistical phrase "nominal data," which is reportedly defined as data revealing "...merely declarations of qualitative category of membership," as it is used in school textbooks. The meaning of the word "nominal" in this use is "name."

Nominal numbering is mathematically a one-to-one and onto function from a set of named objects to a set of numbers, which may change (typically growing) over time. It is a function because each named object is assigned a single number; it is one-to-one because different objects are assigned different numbers; and it is onto because every number in the set at a given time has a single named object associated with it.

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