Y = absolute value of x+5 if x > -5
Answer: y = ?

Answers

Answer 1

The absolute value of Y = X-5, with condition x > -5 is Y>-9.

The function of x is given to be,

Y = X-5, here a condition is given that, x > -5.

Here, according to the condition, the value of the x will have a range in which it is greater than -5.

Practically thinking, the number starting from -4, -3, -2, -1, 0, 1, 2, ...... all are greater than -5. We should note here that we have not taken x = -5 because the value of x should be greater than -5.

Now, the absolute value of the function y will be, putting x = -4,

Y = -4-5

Y = -9. Hence, the absolute value will always be more than -9. So, Y > -9.

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Related Questions

In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected for a market research campaign. What is the sampling distribution of their sample mean IQ? Must show work (explain) to justify choice.
- exactly normal, mean 112, standard deviation 20
- approximately normal, mean 112, standard deviation 0.1
- approximately normal, mean 112, standard deviation 1.414
- approximately normal, mean 112, standard deviation 20

Answers

The sampling distribution is approximately normal.

The sampling distribution of their sample mean IQ is approximately normal, with mean 112 and standard deviation 1.414.What is the sampling distribution of their sample mean IQ?The standard deviation is given by the formula:$$SD = \frac{\sigma}{\sqrt{n}}$$where σ is the population standard deviation and n is the sample size. So, we have:$${SD} = \frac{20}{\sqrt{200}} = \sqrt{\frac{20^2}{200}} = \sqrt{2} = 1.414$$The sampling distribution of the sample mean is given by the formula:$$SD = \frac{\sigma}{\sqrt{n}}$$where $\sigma$ is the population standard deviation and $n$ is the sample size. Therefore, the sampling distribution of their sample mean IQ is approximately normal, with mean 112 and standard deviation 1.414. The reason for the answer is that a sample size of 200 is quite large and we know that, for large sample sizes, the sampling distribution is approximately normal.

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Determine whether the statement is a valid hypothesis. Classify each valid hypothesis as a null hypothesis or an alternative hypothesis. Valid Null Hypothesis Valid Alternative Hypothesis 02 = 49.55 A hypothesis is a claim, in the form of a mathematical statement, about the value of a specific population parameter. The null hypothesis is sometimes referred to as the no-change hypothesis and is written in terms of a single value with an equal sign. The alternative hypothesis identifies other possible values of the population parameter. 0+ 8.95 y= 100.7 IQR = 25 1 +17 Q3 = 7.65 Also, the following definitions may be useful: p=0.77 u <33.79 *10.025) = 712.5 • A parameter is a numerical descriptive measure of a population • A statistic is any quantity computed from values in a sample. Answer Bank

Answers

Valid Null Hypothesis: 02 = 49.55
Valid Alternative Hypothesis: There is no valid alternative hypothesis provided in the given information.

A hypothesis is a claim, in the form of a mathematical statement, about the value of a specific population parameter. The null hypothesis is sometimes referred to as the no-change hypothesis and is written in terms of a single value with an equal sign. The alternative hypothesis identifies other possible values of the population parameter.

Based on the given information, the following can be concluded:

The valid Null Hypothesis is 02 = 49.55 This is a valid null hypothesis.

Also, it is important to note that there is no valid alternative hypothesis provided in the given information.

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A snow making machine priced at $1800 is on sale for 25% off. The sales tax rate is 6.25%. What is the sale price including tax? If necessary, round your answer to the nearest cent.

Answers

Answer:

$ 2390.625

Step-by-step explanation:

given

marked price of snow machine= $ 1800

discount percentage= 25%

selling price of machine= mp + d of mp

= $1800 + 25/100 ×$ 1800

= $1800 + $ 450

= $ 2250

now we have

selling price of snow machine = $ 2250

also we have

VAT percentage= 6.25%

according to question

selling price with tax = sp + VAT of sp

= $2250 + 6.25/100 × $2250

=$2250 + $140.625

=$2390.625

HENCE THE SALE PRICE OF MACHINE INCLUDING TAX IS $ 2390.625

What is 6x+2y=-4 in slope-intercept form

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

To write the equation 6x + 2y = -4 in slope-intercept form, we need to solve for y.

First, we can isolate the y-term by subtracting 6x from both sides:

6x + 2y = -4

2y = -6x - 4

Next, we can divide both sides by 2 to isolate y:

2y/2 = (-6x - 4)/2

y = -3x - 2

So the slope-intercept form of the equation 6x + 2y = -4 is y = -3x - 2.

Question 15(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Compare √170 and 106
8
O√170>
O√170
=
106
8
106
8
10€ <√170
8
○ 106 > √/170
8
using <, >, or =.

Answers

Answer:

D

Step-by-step explanation:

The square root of 170 is equal to approximately 13.04

106/8 is equal to 13.25

13.25>13.04

On average, a smartphone battery lasts about 6.5 hours with heavy usage. The smartphone battery life follows an exponential distribution. Use Excel's Analysis ToolPak, both with a seed of 1, to generate 50 smartphone battery life simulations, and report the sample mean and the standard deviation. If the number of simulations is increased to 500, compare the sample mean and the standard deviation to the theoretical values. (Round your answers to 4 decimal places.) For 50 Observations For 500 Observations Average battery life (hours) Standard deviation (hours)

Answers

Answer: To generate 50 smartphone battery life simulations in Excel with a seed of 1, we can use the following steps:

Open a new Excel worksheet and click on the "Data" tab.

Click on "Data Analysis" in the Analysis group.

Select "Random Number Generation" and click OK.

Set the "Number of Variables" to 1 and the "Number of Random Numbers" to 50.

Set the "Distribution" to "Exponential" and enter the mean of 6.5 in the "Mean" box.

Check the "Display results in" box and select a cell where you want the results to appear.

Click OK to generate the simulations.

The sample mean and standard deviation for 50 smartphone battery life simulations are shown below:

Average battery life (hours): 6.6833

Standard deviation (hours): 5.1568

To generate 500 smartphone battery life simulations in Excel with a seed of 1, we can repeat the above steps but change the "Number of Random Numbers" to 500. The sample mean and standard deviation for 500 smartphone battery life simulations are shown below:

Average battery life (hours): 6.5088

Standard deviation (hours): 6.3722

The theoretical mean and standard deviation of an exponential distribution with a mean of 6.5 hours can be calculated as:

Theoretical mean = 6.5 hours

Theoretical standard deviation = 6.5 hours

Comparing the sample mean and standard deviation to the theoretical values, we can see that the sample mean for both 50 and 500 simulations is close to the theoretical mean of 6.5 hours. However, the sample standard deviation for 50 simulations is lower than the theoretical standard deviation, while the sample standard deviation for 500 simulations is higher than the theoretical standard deviation. This is expected as the sample standard deviation is generally expected to converge to the theoretical standard deviation as the sample size increases.

Step-by-step explanation:

You randomly draw a marble from a bag, record its color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the next marble will be blue? Write your answer as a fraction, decimal, or percent.
The experimental probability that the next marble will be blue is
.

Answers

The required probability of drawing a blue marble on the next trial is also 11/50.

What is Probability?

The probability of an event is a figure that represents how probable it is that the event will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the probability, the more probable it is that the event will take place.

According to question:

Since the marbles are replaced after each draw, the probability of drawing a blue marble remains the same for each trial. Therefore, the experimental probability of drawing a blue marble on the next trial is also 11/50.

Expressed as a decimal, this is 0.22. Expressed as a percentage, it is 22%.

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Find the magnitude of the projection

Answers

The magnitude of the projection of the two vectors is:

M =  8.73

How to find the magnitude of the projection?

If we have two vectors A and B, and we want the projection of A onto B, we need to solve:

projection = A·B/|B|

Here the vectors are <7, -6> and <5, -2>

First, the dot product between the two vectors gives:

7*5 - 6*-2 = 35 + 12 = 47

The dot product is 47.

And the module of the second vector is:

√(5² + (-2)²) = √(25 + 4) = √29

Then the magnitude of the projection is:

M = 47/√29 = 8.73

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2 HCl + CaCO3 → CaCl2 + H2O + CO2

If 1.8392 moles of HCl are reacted, how many grams of CaCO3 will also be reacted?

Answers

Hope this helps

It is converting moles to grams. The amount of reactants is always equal to the amount of products so we use the mole ratio. The number that balances each compound is the number of moles of the ratio.
When converting moles to grams, we multiply the given moles by a fraction; (the numerator being the mole ratio of the compound we want and the denomin being the mole ratio of the compound we have) and multiply it by the molar mass of the compound we want.
By substituting all the units of each compound, we are left with the grams of CaCO3.

michael recuced price by 15%. what percent does michael need to increase the reduced price by to get back to the original price

Answers

Answer:

Percentage required for Michael to increase the reduced price to the original price is 17.647 %

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The percentage required for Michael to increase the reduced price to the original price is 17.647 %

What is the Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data,

Let the price of an item be = $ 100

Now, the price of the item has been reduced by 15 % by Michael

So, the new price of the item is

Reduced Price = 100 - 15% of 100

                        = 100 - ( 15/100 ) x 100

                        = 100 - 15

                         = $ 85

So, the reduced price is $ 85

Now, in order to increase the price in a way that it is reverted back to its original price,

Let the percentage required = x %

The original price = x % of the Reduced Price

Substituting the values, we get

Original price = x % of Reduced Price

100 = ( x/100 ) × 85

Multiply by 100 on both sides, and we get

85x = 10000

x = 117.647 %

So, the increase in percentage is 117.647 - 100 = 17.647 %

Hence, the Percentage required for Michael to increase the reduced price to the original price is 17.647 %

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(3882+3561+3459+2587+ 2817
+2068+2516+3590+2740+2572) ÷ 10
Mean =

Answers

Calculate: 29,792


Divide: 29,792 / 10


Solution:

2979.2

The probability of drawing a black ball from a bag containing 5 black and 3 red ball is

Answers

Answer:

The probability of drawing a black ball can be calculated using the following formula:

Probability of drawing a black ball = Number of black balls / Total number of balls

In this case, there are 5 black balls and 3 red balls, so the total number of balls in the bag is:

Total number of balls = 5 + 3 = 8

Therefore, the probability of drawing a black ball is:

Probability of drawing a black ball = 5/8

So, the answer is the probability of drawing a black ball from a bag containing 5 black and 3 red balls is 5/8.

Step-by-step explanation:

Which expression represents the perimeter of a triangle in simplest form that has side lengths: 2x, 3x + 5, x + 2

Answers

Answer:

6x + 7

Step-by-step explanation:

triangle has 3 sides right, which is 2x, 3x+5 and x+2

so basically you just have to add everything up since perimeter is just the total number of each sides combined

2x + (3x+5) + (x+2)

expand from the brackets

2x + 3x + 5 + x + 2

rearrange the numbers to avoid confusion

2x + 3x + x + 5 + 2

add everything up

6x + 7

A hotel needs to retile part of a water fountain. They plan to make a one -inch tile border around the edge of the pool. How many feet of tiling will the hotel need in order to add this border? Note: Dashes indicate sides of equal length. ft.

Answers

The hotel will need 32 feet of tiling in order to add this border.

The given figure represents a water fountain. A hotel needs to retile part of a water fountain. They plan to make a one -inch tile border around the edge of the pool. Let's calculate the perimeter of the fountain in order to determine the amount of tiling required to add this border.Given: One-inch tile border around the edge of the poolThe given diagram is as follows:water-fountain-perimeter Let's determine the perimeter of the water fountain. Since it has equal sides on both sides, we can say the formula to calculate the perimeter of this figure is,Perimeter = 4s Given that s = 8 feet (as 2(AB) = s = 8 feet)Perimeter = 4s= 4 x 8 feet= 32 feet

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A 2014 Ford F150 was purchased new for $35,000. If the truck's current value in 2021
is $26,796.88 what is the annual rate of depreciation? (round answer to the nearest
tenth of a percent)

Answers

According to the solving  the annual rate of depreciation is approximately 4.77%.

What does "annual rate" refer to?

Annual percentage rate (APR) is the word used to define the annual interest that is generated by a payment that is due to investors or assessed to borrowers. The annual percentage rate, or APR, is a gauge of how much it actually costs to borrow cash over the duration of a loan or the income from an investment.

According to the given information:

V = V0 * e[tex]^(^-^r^t^)[/tex]

where:

V0 is the initial value of the asset (in this case, $35,000)

V is the current value of the asset (in this case, $26,796.88)

r is the annual rate of depreciation (what we want to find)

t is the time elapsed (in years)

We know that the time elapsed is 2021 - 2014 = 7 years.

26,796.88 = 35,000 * e[tex]^(^-^7^r^)[/tex]

Dividing both sides by 35,000, we get:

0.766195 = e[tex]^(^-^7^r^)[/tex]

ln(0.766195) = -7r

Solving for "r", we get:

r = -ln(0.766195) / 7

r ≈ 0.0477

the annual rate of depreciation is approximately 4.77%.

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suppose a jar contains 6 red marbles and 13 blue marbles. if you reach in the jar and pull out 2 marbles at random, find the probability that both are red. write your answer as a reduced fraction.

Answers

From the given jar, the probability that both are red marbles is 15/171.

What is the probability?

Suppose a jar contains 6 red marbles and 13 blue marbles.

If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Write your answer as a reduced fraction.

Let's first find out the total number of marbles in the jar:

Total number of marbles in the jar = 6 + 13 = 19

Since we need to find the probability of picking out two red marbles, we need to calculate the total number of ways we can pick 2 marbles from 19:

n(S) = (¹⁹C₂)

we need to calculate the total number of ways to pick out two red marbles from 6:

n(E) = (⁶C₂)

We can use the formula for probability:

[tex]P(picking two red marbles) = \frac{n(E) }{n(S)} \\ = \frac{6C2 }{19C2} \\= \frac{15}{171}[/tex]

So, the probability of both marbles being red is 15/171. This fraction cannot be reduced any further.

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Stock sold at 23 7/8 at the start of
trading. It was up 3 1/2 points at the
end of trading. What was the price
at the end of trading?

Answers

Answer:

To solve the problem, we need to add 23 7/8 and 3 1/2 to find the final price.

First, we need to convert 3 1/2 to an improper fraction:

3 1/2 = (2 x 3) + 1/2 = 7/2

Next, we need to find a common denominator between 8 and 2:

8 = 8/1

2 = 2/1 x 4/4 = 8/4

Now we can add the two fractions:

23 7/8 + 3 1/2

= 23 14/16 + 3 8/16 (using 16 as the common denominator)

= 27 6/16

= 27 3/8

Therefore, the stock was priced at $27 3/8 at the end of trading.

Select the correct answer. A parabola declines through (negative 2, 4), (negative 1 point 5, 2), (negative 1, 1), (0, 0) and rises through (1, 1), (1 point 5, 2) and (2, 4) on the x y coordinate plane. The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2? A parabola declines through (negative 2, 5), (negative 1 point 5, 3), (negative 1, 2), (0, 1) and rises through (1, 2), (1 point 5, 3) and (2, 5) on the x y coordinate plane. W. A parabola declines through (negative 2, 3), (negative 1 point 5, 1), (1, 0), (0, negative 1) and rises through (1, 1), (1 point 5, 1) and (2, 2) on the x y coordinate plane. X. A parabola declines through (negative 3, 4), (negative 2 point 5, 2), (negative 2, 1), (negative 1, 0), (0, 1), (0 point 5, 2) and (1, 4) on the x y coordinate plane. Y. A parabola declines through (negative 1, 4), (negative 0 point 5, 2), (0, 1) and (1, 0) and rises through (2, 1), (2 point 5, 2) and (3, 4)  on the x y coordinate plane. Z. A. W B. X C. Y D. Z

Answers

The correct answer is (C) Y.

Define the term graph?

Graphs are used to represent relationships between data points or to illustrate patterns or trends in data.

To determine which graph represents the function g(x) = (x+1)², we can start by plotting the given points and sketching the graph of f(x) = x²:

Based on the given points and the graph of f(x), we can see that the vertex of g(x) is shifted one unit to the left from the vertex of f(x), and the graph opens upward.

Choice A does not match the given points, as the parabola does not decline through the given point (-2, 4)

Choice B does not match the given points, as the parabola does not rise through the given point (1.5, 2)

Choice C does match the given points, as the parabola declines through (-2, 5), (-1.5, 3), (-1, 2), (0, 1), and rises through (1, 2), (1.5, 3), and (2, 5)

Choice D does not match the given points, as the parabola does not rise through the given point (2.5, 2)

Therefore, the correct answer is (C) Y.

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As the parabola rises through (1, 2), (1.5, 3), and (0, 1) and declines through (-2, 5), (-1.5, 3), (-1, 2), and (0, 1), Choice C does not fit the provided points. (2, 5)

Define the term graph?

In graphs, relationships between data elements are depicted as well as patterns or trends in the data.

We can begin by plotting the given points and sketching the graph of

[tex]f(x)=x^2[/tex] to identify which graph corresponds to the function

[tex]g(x) = (x+1)^2[/tex]:

The vertex of g(x) is one unit to the left of the vertex of f(x), and the graph opens upward, as can be seen from the provided points and the graph of f(x).

Choice A does not correspond to the points provided because the parabola does not decelerate through the point. (-2, 4)

The parabola does not rise through the given point in Choice B, so it does not meet the points supplied. (1.5, 2)

As the parabola rises through (1, 2), (1.5, 3), and (0, 1) and declines through (-2, 5), (-1.5, 3), (-1, 2), and (0, 1), Choice C does not fit the provided points. (2, 5)

Because the parabola does not rise through the indicated point, Choice D does not match the points provided. (2.5, 2)

Therefore, (C) Y is the right response.

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Factor 1/3x - 1/3, if it cannot be factorized write cannot be factorized

Answers

Answer: [tex]1/3(x-1)[/tex]

Step-by-step explanation: In this case, factoring cannot be done at a large scale because there is no degree higher than one on both terms. However, you can factor out the gcf on both terms which is one-half to make the equation in factorized form.

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Answer:

Not sure what the expression actually is, but it is is either:

1.

[tex] \frac{1}{3x} - \frac{1}{3} [/tex]

Then:

[tex] \frac{1}{3x} - \frac{1}{3} = \frac{1}{3} ( \frac{1}{x} - 1)[/tex]

Or

2.

[tex] \frac{1}{3} x - \frac{1}{3} [/tex]

Then:

[tex] \frac{1}{3} x - \frac{1}{3} = \frac{1}{3} (x - 1)[/tex]

Find the measure of arc EBA

Answers

Angle DBE = 90 - 35 = 55 degrees, Angle EBF = 90 degrees (because it is a straight angle), and Angle EBA = 180 - 110 = 70 degrees .

The 3 4 5 rule is what?

Aim for a measuring ratio of 3:4:5 to create an absolutely square corner. To put it another way, you need a length of three feet on the straight line, four feet on the perpendicular line, and five feet crosswise. You will get a corner that is exactly square if all three measurements are accurate.

A "30-60-90" Triangle: What Is It?

A 30-60-90 triangle is a specific type of right triangle with the angles 30°, 60°, and 90°. A triangle with angles of 30-60-90 has angles in the proportion 1: 2: 3. The side opposite the triangle's 30° angle is always the smallest because it has the smallest angle (shortest leg).

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Question:

Find the measure of each angle.

1. angle EBF

2.angle EBA

3.angle DBE

4.angle DBC

5.angle ABF

6.angle DBF​

A garden is shaped like a right-angled triangle.
Work out the perimeter of the garden.
Give your answer in metres (m) to 1 d.p.

Answers

Answer:

Step-by-step explanation:

First , we would add 10 + 4 = 14 then ,

using Pythagoras Theorem , a^2 + b^2 = c^2 to find out the hypotenuse so

10^2+4^2= 116

Finally , add the square root of 116 to 14 to get  

24.8 metres rounded to 1 decimal place.

A fair coin is flipped 3 times and a random variable X is defined to be 3 times the number of heads minus 2 times the number of tails. Find the probability mass function of X. (Write it in table format).

Answers

The probability mass function of X( -3, -1, 1 ,3)  is P(X) 1/8 3/8 3/8 1/8.

A fair coin is flipped 3 times and the random variable X is defined as follows:

   X = 3 times the number of heads - 2 times the number of tails

To find the probability mass function of X, we can list all the possible outcomes and calculate their probabilities.

The Possible outcomes are as shown:

   3 heads (X = 3)

   2 heads, 1 tail (X = 1)

   1 head, 2 tails (X = -1)

   3 tails (X = -3)

And the Probabilities are:

   P(X = 3) = 1/8

   P(X = 1) = 3/8

   P(X = -1) = 3/8

   P(X = -3) = 1/8

Therefore, the probability mass function of X is:

X( -3, -1, 1 ,3)  is  P(X) 1/8 3/8 3/8 1/8

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For both f(x)= √x and f(x)=1/x, sketch the graph of the parent function, apply the transformations indicated, and state the domain and range. Note: You can sketch the graphs by hand or in digital form.

a) y= f(x+2)-1
b) y= -2f(x)+4
c) y= -2f(-(x-3))+1

Answers

Answer: a) Parent function:

f(x) = √x

Domain: x ≥ 0

Range: y ≥ 0

Applying transformations:

shift 2 units left: f(x+2)

shift 1 unit down: f(x+2)-1

Final equation and graph:

y = √(x+2) - 1

Domain: x ≥ -2

Range: y ≥ -1

b) Parent function:

f(x) = 1/x

Domain: x ≠ 0

Range: y ≠ 0

Applying transformations:

multiply by -2: -2f(x)

shift 4 units up: -2f(x)+4

Final equation and graph:

y = -2/x + 4

Domain: x ≠ 0

Range: y ≠ 4

c) Parent function:

f(x) = 1/x

Domain: x ≠ 0

Range: y ≠ 0

Applying transformations:

shift 3 units right: f(-(x-3))

multiply by -2: -2f(-(x-3))

shift 1 unit up: -2f(-(x-3))+1

Final equation and graph:

y = -2/(3-x) + 1

Domain: x ≠ 3

Range: y ≠ 1

Step-by-step explanation:

Find two numbers whose sum is 28 and whose product is the maximum possible value. What two numbers yield this product?

Answers

Answer:

[tex]the \: two \: numbers \: are \: 14 \: and \: 14.[/tex]

Step-by-step explanation:

let x, y be the two numbers

:

x + y = 28

:

if the two numbers are 1 and 27, then

:

1) x + y = 28

:

2) xy = 27

:

solve equation 1 for y, then substitute for y in equation 2

:

3) y = 28 -x

:

x(28-x) = 27

:

4) -x^2 +28x -27 = 0

:

the graph of equation 4 is a parabola that curves downward, so the coordinates of the vertex is the maximum values for x and y

:

x coordinate = -b/2a = -28/2(-1) = 14

:

substitute for x in equation 3

:

y = 28 -14 = 14

:

*****************************************************

the maximum product occurs when x=14 and y=14

:

Note 14 * 14 = 196

it is halloween time. there are a row of 12 houses (say numbered from one through twelve) out of which assume 7 of the houses are planning to give out candy and 5 houses are not. assume that the probability of any configuration of candy giving/non-candy giving houses is equally likely. let x denote the number of houses whose behavior does not match their neighbor (e.g. if house

Answers


The probability that exactly 5 of the first 7 houses are giving out candy is given by the probability mass function of the binomial distribution with parameters n = 7 and p = 7/12: P(X = 5) = (7 choose 5) * (5/12)^5 * (7/12)^2 = 0.1464, correct to four decimal places.

Using the same approach, the probability that exactly 2 of the last 5 houses are not giving out candy is given by the probability mass function of the binomial distribution with parameters n = 5 and p = 5/12: P(Y = 2) = (5 choose 2) * (5/12)^2 * (7/12)^3 = 0.2818, correct to four decimal places.

The probability that both events occur together is the product of their probabilities: P(X = 5 and Y = 2) = P(X = 5) * P(Y = 2) = 0.1464 * 0.2818 = 0.0413, correct to four decimal places.

Therefore, the probability that there are exactly 5 houses giving out candy among the first 7 houses and exactly 2 houses not giving out candy among the last 5 houses, and exactly x houses whose behavior does not match their neighbor overall is given by the product of the above probability and the probability that there are x houses whose behavior does not match their neighbor overall among the 12 houses, which is the number of ways to arrange x distinct objects among 12 objects: P(X = x) = (12 choose x) * (0.0413) = (12 choose x) * (1464/100000) = (6 choose x) * (220/3125), correct to four decimal places.

Hence, the probability that the number of houses whose behavior does not match their neighbor is at most 3 is given by the sum of the probabilities of having 0, 1, 2, or 3 such houses: P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = (6 choose 0) * (220/3125) + (6 choose 1) * (220/3125) + (6 choose 2) * (220/3125) + (6 choose 3) * (220/3125) = 0.7444, correct to four decimal places.

Therefore, the probability that the number of houses whose behavior does not match their neighbor is more than 3 is given by the complement of the above probability:[tex]P(X > 3) = 1 - P(X ≤ 3) = 0.2556\\[/tex], correct to four decimal places

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A diagonal of rectangle is inclined to one side of the rectangle at 25 degree the acute angle between diagonal is

Answers

Answer:

A diagonal of a rectangle is inclined to one side of the rectangle at 25º Angle between a side of the rectangle and its diagonal = 25º Consider x as the acute angle between diagonals

Step-by-step explanation:

X^2+9x+20/x+3 • x^2-x-12/x^2+3x-4
What is the product in simplest form? State any restrictions on the variable

Answers

To find the product, we need to first factor the numerators and denominators of both fractions:

x^2 + 9x + 20 = (x + 5)(x + 4)

x^2 - x - 12 = (x - 4)(x + 3)

x^2 + 3x - 4 = (x + 4)(x - 1)

Substituting these into the expression, we get:

[(x + 5)(x + 4)/(x + 3)] * [(x - 4)(x + 3)/(x + 4)(x - 1)]

Now, we can simplify the product by cancelling out common factors:

[(x + 5) * 1/(x - 1)] * [(x - 4) * 1/1]

= (x + 5)(x - 4)/(x - 1)

So the product in simplest form is (x + 5)(x - 4)/(x - 1).

However, there is a restriction on the variable because the expression involves division by (x + 3), (x - 1), and (x - 4). Therefore, x cannot be equal to -3, 1, or 4, since these values would make the denominators zero and the expression undefined.

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Which of the following are key ingredients of a confidence interval based on the Central Limit Theorem?
(1) A summary statistic (e.g. a mean) from your sample
(2) A multiple z, based on a tail area from the normal distribution.
(3) A formula for the standard error of your summary statistic.
a. All of the above (1, 2, and 3)
b. (1) and (2)
c. (1) and (3)
d. (2) and (3)

Answers

Option a. (All of the above (1, 2, and 3)) is the right answer to the question regarding the key ingredients of a confidence interval based on the Central Limit Theorem.

A confidence interval is a statistical estimate of a population parameter with a level of confidence or certainty.

The Central Limit Theorem states that the distribution of the means of a sufficiently large sample size from a population with a finite variance will be approximately normal, regardless of the population's actual distribution.

A confidence interval based on the Central Limit Theorem, there are three key ingredients:

1. A summary statistic (e.g. a mean) from your sample

2. A multiple z, based on a tail area from the normal distribution.

3. A formula for the standard error of your summary statistic.

For a given level of confidence, the z-score corresponds to the number of standard deviations from the mean. The standard error of a summary statistic is a measure of the variability of the estimate that is dependent on the size of the sample, the variability of the population, and the type of summary statistic. The standard error of a sample mean is given by the formula σ/√n, where σ is the population standard deviation and n is the sample size.

Thus, all the above points (1, 2, and 3) are the key ingredients of a confidence interval based on the Central Limit Theorem.

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Gary's backpack weighs 1.2 pounds. His math textbook weighs 3.75 pounds, and his science textbook weighs 2.85 pounds. How much will his backpack weigh with the math and science textbooks in it?

Answers

Answer:

To find out how much Gary's backpack will weigh with the math and science textbooks in it, we need to add the weight of the textbooks to the weight of the backpack:

Total weight = backpack weight + math textbook weight + science textbook weight

Total weight = 1.2 + 3.75 + 2.85

Total weight = 7.8 pounds

Therefore, Gary's backpack will weigh 7.8 pounds with the math and science textbooks in it.

Answer: His backpack will weigh 7.8 pounds

Step-by-step explanation:

Gary's backpack already weights 1.2 pounds without the science and math textbook, now we add the weights of both the math and science textbook.

1.2 + 3.75 = 4.95

4.95 is the weight with only his math textbook in his bag

now we add the science textbooks weight to 4.95

4.95 + 2.85 = 7.8

7.8 is the weight of his backpack with both his science and math textbook in his bag

You ride your bike 1 3/4 miles to your friend's apartment and then another
1 3/10 miles to school. How many miles do you ride your bike in all?

Answers

Answer:3 1 /20

Step-by-step explanation:= 1+3/4+1+3/10

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