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lisov135 [29]
1 year ago
9

I need help on this please!! #26

Mathematics
1 answer:
Mashutka [201]1 year ago
6 0

Answer:

Area = 240

Step-by-step explanation:

The roof is 4 Isosceles triangles as two sides are the same and the base is different.  The equation for area of an isosceles triangle is area = (1/2) · b · h.  

      Starting the equation, we know the height = 10 based on the graphic, but we need solve for the base using the information provided in the problem 25.  

      If the square gazebo is 48 ft around, then perimeter = 48.  To find one side of the "SQUARE" gazebo, divide the perimeter by 4 to find one side having a length/base of 12.  

      We can assume that the base of the gazebo is the same length as the base of the roof, so the base is 12 as well.  

Finishing the formula we have:

Area of 1 side of gazebo roof= (1/2) * b * h = (1/2) * 12 * 10 = 60  

There are 4 sides to the roof, so multiply the Area of the one side by 4 to find the final result.

Area of full Gazebo roof = 60 * 4 = 240

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A survey collected data on annual credit card charges in seven different categories of expenditures: transportation, groceries,
Andru [333]

Answer:

A. Null and alternative hypothesis:

H_0: \mu_d=0\\\\H_a:\mu_d\neq 0

B. Yes. At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

P-value = 0.00002

C. As the difference is calculated as (population 1 − population 2), being population 1: groceries and population 2: dinning out, and knowing there is evidence that the true mean difference is positive, we can say that the groceries annual credit card charge is higher than dinning out annual credit card charge.

The point estimate is the sample mean difference d=$840.

The 95% confidence interval for the mean difference between the population means is (490, 1190).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

Then, the null and alternative hypothesis are:

H_0: \mu_d=0\\\\H_a:\mu_d\neq 0

The significance level is 0.05.

The sample has a size n=42.

The sample mean is M=840.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1123.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1123}{\sqrt{42}}=173.2827

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{840-0}{173.2827}=\dfrac{840}{173.2827}=4.848

The degrees of freedom for this sample size are:

df=n-1=42-1=41

This test is a two-tailed test, with 41 degrees of freedom and t=4.848, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>4.848)=0.00002

As the P-value (0.00002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that there is signficant difference between the population mean credit card charges for groceries and the population mean credit card charges for dining out.

We have to calculate a 95% confidence interval for the mean difference.

The t-value for a 95% confidence interval and 41 degrees of freedom is t=2.02.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.02 \cdot 173.283=350

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 840-350=490\\\\UL=M+t \cdot s_M = 840+350=1190

The 95% confidence interval for the mean difference is (490, 1190).

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Answer:

E D C are the answers for the questions

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tangare [24]

Answer:

the correct solution is -8x + 9.

Step-by-step explanation:

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Marie spends $450.00 at a department store. She has two coupons: one for a 15% discount and one for $50 off any purchase above $
VMariaS [17]

Answer:

Her first coupon ti be used is $50 off a purchase above $300

Final purchase price= $340

Step-by-step explanation:

Marie has two coupons

one for a 15% discount and one for $50 off any purchase above $300.

The stores allow the two coupons to be combined and she spends a total of $450.

Her first coupon ti be used is $50 off a purchase above $300.

So Marie have $400 now

15% off $400= 400-(0.15*400)

15% off $400 = 400-60

15% off $400 =$ 340

6 0
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Answer:

C. <em>x</em> is all real numbers.

Step-by-step explanation:

Since the domain is likely infinite, then the domain must be all real numbers so <em>x</em> is all real numbers.

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