Answer:

**Answer:**

20

**Step-by-step explanation:**

- x+20%=24
- x+x*20/100=24
- x+0.2x=24
- 1.2x=24
- x=24/1.2
**x=20**

Need answer now in 10 min!!!

Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let X denote the number among the four who have earthquake insurance. a. Find the probability distribution of X. [Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with proba bility (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes.] b. Draw the corresponding probability histogram. c. What is the most likely value for X

Firm A and Firm B have debt-total assets ratios of 65 percent and 45 percent, respectively, and returns on total assets of 5% and 7%, respectively. Which firm has a greater return on equity

Which of the following statements is true for ∠a and ∠b in the diagram?

Jenny has 1 stamp to begin her collection. She then collects 7 stamps per day. Let y represent the total amount of stamps in Jenny'scollection after x days.Express the equation in the form of y=mx+bEnter your answer in the boxPLS HELP!!!

Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let X denote the number among the four who have earthquake insurance. a. Find the probability distribution of X. [Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with proba bility (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes.] b. Draw the corresponding probability histogram. c. What is the most likely value for X

Firm A and Firm B have debt-total assets ratios of 65 percent and 45 percent, respectively, and returns on total assets of 5% and 7%, respectively. Which firm has a greater return on equity

Which of the following statements is true for ∠a and ∠b in the diagram?

Jenny has 1 stamp to begin her collection. She then collects 7 stamps per day. Let y represent the total amount of stamps in Jenny'scollection after x days.Express the equation in the form of y=mx+bEnter your answer in the boxPLS HELP!!!

b. it is equivalent to 2/100

**Answer:**

B. It is equivalent to 20/100

C. It is equivalent to the fraction represented by this picture

**Step-by-step explanation:**

20/100 simplified is 2/10

The graph also contains the right amount of boxes to represent 2/10 or 20/100

Hope this helps!

**Answer:**

(a) The point estimate for the population proportion *p* is **0.34**.

(b) The margin of error for the 99% confidence interval of population proportion *p* is **0.055**.

(c) The 99% confidence interval of population proportion *p* is **(0.285, 0.395)**.

**Step-by-step explanation:**

A point estimate of a parameter (population) is a distinct value used for the estimation the parameter (population). For instance, the sample mean is a point estimate of the population mean *μ*.

Similarly, the the point estimate of the population proportion of a characteristic, *p* is the sample proportion .

The (1 - *α*)% confidence interval for the population proportion *p* is:

The margin of error for this interval is:

The information provided is:

(**a**)

Compute the point estimate for the population proportion *p* as follows:

Point estimate of *p* = = 0.34

Thus, the point estimate for the population proportion *p* is **0.34**.

(**b**)

The critical value of *z* for 99% confidence level is:

*Use a *z*-table for the value.

Compute the margin of error for the 99% confidence interval of population proportion *p* as follows:

Thus, the margin of error for the 99% confidence interval of population proportion *p* is **0.055**.

(**c**)

Compute the 99% confidence interval of population proportion *p* as follows:

Thus, the 99% confidence interval of population proportion *p* is **(0.285, 0.395)**.

The point estimate for p is 0.34. The margin of error, calculated using a z-score of 2.576, is 0.034. The 99% confidence interval is from 0.306 to 0.374.

This question is about calculating a confidence interval for a proportion using the **normal distribution**. The best point estimate for p is the sample proportion, p-hat, which is 0.34.

For a 99% confidence interval, we use a z-score of 2.576, which corresponds to the 99% confidence level in a standard normal distribution. The formula for the margin of error (E) is: E = Z * sqrt[(p-hat(1 - p-hat))/n]. Substituting into the formula, E = 2.576 * sqrt[(0.34(1 - 0.34))/500] = 0.034.

The 99% confidence interval for p is calculated by subtracting and adding the margin of error from the point estimate: (p-hat - E, p-hat + E). The 99% **confidence interval** is (0.34 - 0.034, 0.34 + 0.034) = (0.306, 0.374).

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Simplified expression-?

Value-?

The expression 3x + 7x - 28 + 31 - 8x simplifies to 2x + 3. When x equals 2043, the value of the **Simplifying Expression** is 4089.

The given expression is 3x + 7x - 28 + 31 - 8x.

To simplify the expression, we first **group together** the like **terms**.

Thus, the expression becomes (3x + 7x - 8x) + (31 - 28).

This simplifies further to 2x + 3.

Next, to find the **value** of the expression for x = 2043, we substitute 2043 for x into the simplified expression, resulting in 2*2043 + 3 = 4089.

Therefore, the simplified version of the expression is 2x + 3 and the value of the expression for x = 2043 is 4089.

Learn more about **Simplifying Expression** here:

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The answer is 16347 hope this helps

**Answer:**

Each square should have **5 inches of side and area = 25 square inches.**

**Step-by-step explanation:**

Candy box is made that measures 45 by 24 inches.

Let the squares of equal size** x inches** has been cut out of each corner.

The sides will then be folded up to form a rectangular box.

Now we have to find the size of square that should be cut from each corner to obtain maximum volume of the box.

Now the box is with length = (45 - 2x) inches

and width = (24 - 2x) inches

and height = x inches

Volume of the candy box = Length × width × height

V = (45 - 2x)(24 - 2x)(x)

V = x(1080 - 48x -90x + 4x²)

= x(1080 - 138x + 4x²)

= 4x³ - 138x² + 1080x

Now we will find the derivative of volume and equate it to zero.

12(x² - 23x + 90) = 0

x² - 23x + 90 = 0

x² - 18x - 5x + 90 = 0

x(x - 18) - 5(x - 18) = 0

(x - 5)(x - 18)=0

x = 5, 18

Now for x = 18 Width of the box will be = (24 - 2×18) = 24 - 36 = -12

Which is not possible.

Therefore, x = 5 will be the possible value.

Therefore, square having area 25 square inches should be cut out from each corner to get the maximum volume of candy box.

The size of the **square** that should be cut away from each corner to obtain the maximum **volume** for a box made from a cardboard measuring 45 by 24 inches is 3 inches.

To find the size of the **square** that should be cut from each corner to obtain the maximum volume, we should first make an equation for the volume of the box. If x is the length of the side of the square, then the dimensions of the box are (45-2x) by (24-2x) by x, thus the **volume** of the box V is (45-2x)(24-2x)x.

By using calculus, we can find the derivative of this **function**, set it to zero and solve, this will give the critical points where the maximum and minimum volumes will be.

The derivative is found to be -4x^2 + 138x - 1080. Setting this to zero and solving, we find that x = 3 and x = 90 are the critical points for the maximum and **minimum** volumes. Since we cannot cut corners more than 24 inches (this would make the width negative), x = 3 inches is the only feasible solution.

So, **3 inches** should be cut away from each corner to obtain the maximum volume.

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**Answer: the dot is right at the -5 **

**hope it helped **

**The function is nonlinear because there is an exponent to the x value, indicating that it is a parabola, which means that it is not a straight line.**