Factor the expression 4x + 32. Explain each step you take in the process.

A ______ involves both an experimental group and a control group, which are alike except for the one viable that the experiment

konstantin123 [22]

Answer:

controlled experiment

Step-by-step explanation:

Controlled experiment is a type of experiment in which except for only one variable, everything is kept constant.

The common type of the controlled experiment compares the control group against the experimental group. All the variables are identical between two groups except factor which is being tested.

Big advantage of the controlled experiment is that one can eliminate much of uncertainty about the results.

7 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

List at least three example of racial injustice that king uses as effective support for his claim that African American are not

Effectus [21]

The following are the list of the racial injustice that king uses as effective support for his claim that african american are not free.
#1. He uses word to contrast the racial situation in the country in the past and present to what is expected in the future,
#2 The king shows that there is hope for change in the future
#3. The king uses metaphor.

6 0

3 years ago

Find the 8th term for the series 2, 8, 32, 128, … <br> A. 8192<br> B. 16384<br> C. 6784<br> D. 32768

GenaCL600 [577]

Answer:32,768

2*4=8*4=32*4=128

So we have to multiply by 4

128*4=512 5th term

512*4=2048 6th term

2048*4=8192 7th term

8192*4=32768 last term

7 0

3 years ago

Whats the rule for the pattern 8,6,9,7,10.....?

Delicious77 [7]

Answer:

subtract 2 and add 3

Step-by-step explanation:

8-2=6

6+3=9

9-2=7

7+3=10

4 0

3 years ago