Can someone please help !!

When figuring out the amount of mulch would be needed for Alex's back yard, he created an equation that

soldier1979 [14.2K]

Answer:

Alex will need 14 bags

Step-by-step explanation:

B= 4(2x+7)+3(2x+7)

and

2x+7=2

First, we should solve the second equation to obtain x:

2x+7=2

2x=2-7

x= -5/2

Then, we use this answer to calculate B:

B=4(2(-5/2)+7)+3(2)

B=4(-5+7)+6

B=4(2)+6

B=8+6

B=14

Alex will need 14 bags

7 0

3 years ago

A Simple random sample of 100 8th graders at a large suburban middle school indicated that 84% of them are involved with some ty

Setler [38]

Answer: a) (0.755, 0.925)

Step-by-step explanation:

Let p be the population proportion of 8th graders are involved with some type of after school activity.

As per given , we have

n= 100

sample proportion: $\hat{p}=0.84$

Significance level : $\alpha= 1-0.98=0.02$

Critical z-value : $z_{\alpha/2}=2.33$ (using z-value table)

Then, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity will be :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.84\pm (2.33)\sqrt{\dfrac{0.84(1-0.84)}{100}}$

i.e. $\approx0.84\pm 0.085$

i.e. $(0.84- 0.085,\ 0.84+ 0.085)=(0.755,\ 0.925)$

Hence, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity : a) (0.755, 0.925)

3 0

3 years ago

What is the value of 3ab + 5b - 6 when a = -1 and b = 3? 0 6 18 24

Andru [333]

Answer:

the answer is 0

all work is shown

3 0

4 years ago

Read 2 more answers

A and B are two points on square ABCD with coordinates A(1,3) and B(5,3). What are the lengths of the diagonals AC and BD? Round

lilavasa [31]

Answer:

$AC = BD = 5.7$

Step-by-step explanation:

Given

$A = (1,3)$

$B = (5,3)$

Required

The length of the diagonals

First, calculate the length of AB using:

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$AB = \sqrt{(1 - 5)^2 + (3 - 3)^2}$

$AB = \sqrt{(-4)^2 + 0^2}$

$AB = \sqrt{16}$

$AB = 4$

The diagonal of a square is calculated using:

$Diagonal = x\sqrt{2$

Where x is the length of each side.

So:

$AC = BD = AB\sqrt{2}$

$AC = BD = 4\sqrt{2}$

$AC = BD = 5.7$ -- approximated

7 0

3 years ago

Bottles of grape soda are assumed to contain 300 milliliters of soda. There is some variation from bottle to bottle because the

Pie

Answer:

Because the p-value of 0.0828 is greater than the significance level of 0.05, we fail to reject the null hypothesis. We conclude the data provide convincing evidence that the mean amount of soda in all the bottles filled that day does not differ from the target value of 300 milliliters.

Step-by-step explanation:

The null hypothesis is that the sample mean does not differ from the population mean.

If p < α, we reject the null hypothesis.

If p > α, we do not reject the null hypothesis.

p values are between 0 and 1.

4 0

3 years ago