Stonehenge is one of the most famous historical sites in the world. It is believed to

Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures 16 1/3 feet by 6 feet.

Anvisha [2.4K]

1. To find how much cardboard he needs to paint you need to find the area of the cardboard which is length times width. So in this case, it would be 16 1/3 feet times 6 feet. Or 49/3 times 6/1. This gives you 294/3 or 98 feet.
2. To find this you would divide the total area by how much area each bottle covers to find how many bottles you need. 98 divided by 30 is 98/30 which reduces to 49/15 or 3 4/15. Since you can’t have 4/15 of a bottle, you’d round up to 5 bottles of paint.

6 0

3 years ago

In a study of red/green color blindness, 700 men and 2850 women are randomly selected and tested. Among the men, 66 have red/gre

olga55 [171]

Answer:

$z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197$

$p_v =P(Z>15.197) \approx 0$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

Step-by-step explanation:

Data given and notation

$X_{M}=66$ represent the number of men with red/green color blindness.

$X_{W}=8$ represent the number of women with red/green color blindness.

$n_{M}=700$ sample of male slected

$n_{W}=2850$ sample of female selected

$p_{M}=\frac{66}{700}=0.0943$ represent the proportion of male with red/green color blindness.

$p_{W}=\frac{8}{2850}=0.00281$ represent the proportion of female with red/green color blindness.

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion of men with red/green color blindness. is higher than the proportionof women with red/green color blindness. , the system of hypothesis would be:

Null hypothesis: $p_{M} \leq p_{W}$

Alternative hypothesis: $p_{M} > p_{W}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}$ (1)

Where $\hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{66+8}{700+2850}=0.0208$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197$

Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a one side test the p value would be:

$p_v =P(Z>15.197) \approx 0$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

8 0

3 years ago

Good morning how's everybody's Monday going so far

spin [16.1K]

Answer:

its going well, wbu

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Line segment segment CD has a slope of negative start fraction two over three end fraction and contains point C(−3, −6). What is

Elanso [62]

For perpendicular lines, the slopes are negative reciprocals of one another. Therefore, the slope of QC = 3/2

Using this into the formula of slope:
3/2 = (y + 6) / (-1 + 3)
y = -9

If the slope of CD is 2/3, then y works out to be -3.

5 0

2 years ago

Andre builds a form for a new cement step in the shape of a rectangular prism. The form he builds is 40 and 1/2 inches long, 10

posledela

Answer:

3240 in^3

Step-by-step explanation:

Step one:

given data

The dimension of the form

Length 40 and 1/2 inches long,

Depth 10 inches deep,

The width and 8 inches high

Step two:

The amount of cement is equivalent to the volume of the form

$V=L*W*H\\\\V=40.5*10*8\\\\V=3240 in^3$

Hence the volume of cement is 3240 in^3

8 0

2 years ago