Answer:
39 sq cm
Step-by-step explanation:
Ok. Since ΔAED is isosceles, then the height of the trapezoid is 3 cm
One base is 16 and the other base is 16 - 3 - 3 = 10.
A = 1/2 h( +
) where
and
are lengths of the bases
A = 1/2(3)(10 + 16)
= 1/2(3)(26)
= 39 sq cm
Answer:
The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.
Step-by-step explanation:
Test if the proportion is less than 40%:
At the null hypothesis, we test if the proportion is of at least 0.4, that is:
At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that
74 out of the 200 workers sampled said they would return to work
This means that
Value of the test statistic:
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.
Looking at the z-table, z = -0.87 has a p-value of 0.1922.
The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.
Using a system of equations, it is found that initially Ada has $0.385.
For the system, we have that the variables are:
$45 total, hence:
Ada <u>gets 2 from Betty</u>, hence:
<u>Chris triples</u> his money and <u>David's</u> money is <u>cut by half</u> four of them have the same amount, hence:
Then:
Solving for w, we find Ada's initial amount.
Initially, Ada has $0.385.
A similar problem is given at brainly.com/question/6120515
