Which type of angle is formed by sides of a square?

Answers

Answer 1

Answer:

I believe it would be a right angle. Each corner of a square is a right angle.

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8) Which equations below would be parallel by just looking at theequations

1. y=2x + 10 and y= 3x -12
2. y= 4x -2 and y= 4x + 3
3. y=10 and y= 15x
4. not given

Answers

Answer: y=4x-2 and y=4x+3

You have just received a windfall from an investment you made in a friend's business. He will be paying you $10,000 at the end of this year, $20,000 at the end of the following year, and $30,000 at the end of the year after that (three years from today). The interest rate is 3.5% per year. a.What is the present value of your windfall? b.What is the future value of your windfall in three years (on the date of the last payment)?

Answers

Answer:

a. $55,390.29

b. $61,412.20

Step-by-step explanation:

a. To find the present value of your windfall, each value must be brought back to the present year at a rate of 3.5% per year. The present value is:

$PV = (10,000)/(1.035)+(20,000)/(1.035^2)+(30,000)/(1.035^3)\nPV = \$55,390.29$

The present value of your windfall is $55,390.29.

b. To find the future value of your windfall at the date of the last payment, simply compound the preset value amount obtained on the previous item for three years at a rate of 3.5%:

$FV =55,390.29*(1.035)^3\nFV=\$61,412.20$

The future value of your windfall is $61,412.20.

Final answer:

The present value and future value of an investment are calculated using formulas that account for the interest rate and the period. The present value is calculated by dividing each year's payout by the increment of the interest rate for that year and summing these values. The future value in this scenario would be the sum of the payouts.

Explanation:

This question deals with the financial concepts of present value and future value in relation to an investment payout structure over time.

a. The present value is a measure of the current worth of a future sum of money given a specified rate of return. The formula to calculate present value is PV = CF / (1 + r)^n, where CF is cash flow, r is interest rate and n is the period. To calculate the present value of your windfall:

End of Year 1: PV = $10,000 / (1+0.035)^1
End of Year 2: PV = $20,000 / (1+0.035)^2
End of Year 3: PV = $30,000 / (1+0.035)^3

Add all these present values together to get the total present value.

b. The future value is how much an investment is worth at a certain time in the future. The formula to calculate future value is FV = CF * (1 + r)^n. But in this case since the last cash flow coincides with the period, the future value in three years would simply be the sum of all cash flows which is $60,000 ($10,000+$20,000+$30,000).

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A sample of 31 boxes of cereal has a sample standard deviation of 0.81 ounces. Construct a 93% confidence interval to estimate the true standard deviation of the fllins process for the boxes of cereal. a (0433, 1.120) b)(0.658,1.058) c (0.525, 1095) d (0.731,0.731) e) None of the above.

Answers

Final answer:

Using the chi-square distribution and given data, a 93% confidence interval for the standard deviation is found to be (0.525, 1.095). Therefore, the correct answer is option (c).

Explanation:

To construct a confidence interval to estimate the true standard deviation of the filling process for the boxes of cereal, we will use the chi-square distribution as it is used when dealing with standard deviation and variance.

The formula for the confidence interval in this case is: (sqrt((n-1)*s^2/chi2(upper)), sqrt((n-1)*s^2/chi2(lower))), where n is the sample size, s is the sample standard deviation and chi2 is the chi-square value for the corresponding degrees of freedom and confidence level.

In this case, we have n=31, s=0.81. The degrees of freedom are one less than the sample size, so df = 31 - 1 = 30. For a 93% confidence level, the chi-square values are X2(0.035, 30) = 21.92 and X2(0.965, 30) = 41.34.

Substituting these values into the formula, we get: (sqrt((31-1)*(0.81)^2/41.34), sqrt((31-1)*(0.81)^2/21.92)) = (0.525, 1.095). Hence, the correct answer is (c) (0.525, 1.095).

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Final answer:

The 93% confidence interval for the standard deviation of the filling process for the boxes of cereal is (0.658,1.058), which is choice (b). The solution is determined using chi-square distribution and the formula for constructing a confidence interval specifically for standard deviations.

Explanation:

To answer this question, we will use chi-square distribution which is commonly used to construct a confidence interval for standard deviations.

The formula for a confidence interval in this case is ( √((n-1)s² / χ²_(1 - α/2)), √((n-1)s² / χ²_(α/2)) ). Here, n is the sample size, s is the sample standard deviation, α is the significance level (1 - confidence level). χ² represents chi-square values, where α/2 and 1 - α/2 are the confidence levels for a two-tailed test.

Using the chi-square table, for n - 1 = 30 degrees of freedom, we find the chi-square value for (1 - α/2)=0.935 is 17.708 and the chi-square value for α/2=0.065 is 46.194. Substituting n = 31, s = 0.81 into the formula, we get the 93% confidence interval for the standard deviation of the filling process for the boxes of cereal as ( √((30*0.81²) / 46.194), √((30*0.81²) / 17.708) ) = (0.658, 1.058).

So, the correct answer is (b) (0.658,1.058).

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According to a past survey, 23% of Americans have hypertension. After a stringent regimen of diet and exercise, 75 people were then tested and 18 were found to have hypertension. Based on this sample, does diet and exercise reduce hypertension? Use a significance level of 0.05.a) yesb) no

Answers

Answer:No, Diet and exercise does not reduce hypertension.

Step-by-step explanation:

Since we have given that

p = 0.23

n = 75

x = 18

So, $\hat{p}=(x)/(n)=(18)/(75)=0.24$

So, hypothesis would be

$H_0:p=\hat{p}\n\nH_a:\hat{p}<p$

So, the test statistic value would be

$z=\frac{\hat{p}-p}{\sqrt{(p(1-p))/(n)}}\n\nz=\frac{0.24-0.23}{\sqrt{(0.23* 0.77)/(75)}}\n\nz=(0.01)/(0.049)\n\nz=0.204$

At α = 0.05 level of significance, we get

critical value = 1.96

and 1.96>0.204.

so, we will accept the null hypothesis.

Hence, No, Diet and exercise does not reduce hypertension.

Please answer this correctly

Answers

Answer:

6 books

Step-by-step explanation:

22, 23, 25, 25, 26, 28

6 books contained at least 22 characters but less than 29.

A total of 634 tickets were sold for the school play. They were either adult tickets or student tickets. There were 66 fewer students tickets sold than adult tickets. Him many adult tickets were sold?

Answers

A total of 634 tickets were sold for the school play. They were either adult tickets or student tickets. There were 66 fewer student tickets sold than adult tickets. How many adult tickets were sold?
So say adult sold would be x, then student sold would be x-66
add them

x+x-66=634 solve for x
2x=700 divide each side by 2
x=350
so 350 adult and 350-66=284 student

x= student tickets
y= adult tickets

x+y=634
y=x-66

x+y=634 x-y=66 2x=700 x=350

350+y=634 y=284

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