5Red + 6Blue + 4 Black
Total = 5 + 6 = 4 = 15
Probality of Blue, Blue.
P(Blue) = 6/15 = 2/5
P(Blue, Blue) = (2/5)*(2/5) = 4/25
According to the p-value, the correct option regarding the decision of the test hypothesis is:
v. No, because 0.283 > 0.05.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, we test if the proportion is still of 0.53, that is:

At the alternative hypothesis, we test if it has increased, that is:
.
<h3>What is the decision according to the p-value?</h3>
- If p-value > significance level, we do not reject the null hypothesis.
- If p-value < significance level, we reject the null hypothesis.
In this problem, the p-value is of 0.283 > 0.05, hence there is not sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago, which means that option V is correct.
More can be learned about p-values at brainly.com/question/16313918
The triangles are congruent. So.
Triangle ABC is 24 inch^2 and BC is 4 inches.
The area of a triangle is 0.5 x base x height. The will be 12 because 12 x 4 x 0.5 which equals 24.
Triangle DEF is half the size of ABC because bc is 4 and EF is 2 showing it’s half. This then means the height will be half which then mean it will be 6.
This then means we can use the equation to work it out. So. 6 x 0.5 x 2 = 6in^2
The answer is 6inches^2
Answer:

We can divide both sides by 20 and we got:

Now we can appply natural log on both sides and we got:

Now we can divide both sides of the equation by 10 and we got:

So then the aproximate value of k is 0.30986 and rounded would be 0.31
Step-by-step explanation:
We have the following two expression:


We know that the two populations were equal 10 years after the start of the study, so then we can create the following equation:

We can divide both sides by 20 and we got:

Now we can appply natural log on both sides and we got:

Now we can divide both sides of the equation by 10 and we got:

So then the aproximate value of k is 0.30986 and rounded would be 0.31
Answer:
1728000
Step-by-step explanation:
You always work from the parenthesis first because of order of operation. You have 12( because 2 times 6) then mulitply 12 times 10. You get 120 then you multiply it but itself 3 times. 120 x 120 x 120= 1728000