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murzikaleks [220]
3 years ago
7

How do you find the surface area and volume of this geometric shape?

Mathematics
1 answer:
sp2606 [1]3 years ago
6 0
You find the surface area by finding the area of both trapezoids, then adding the area of the rectangles.
You find the volume by adding the base area, length of the base, dividing it by 2, multiplying it by the base height, and multiplying it by the base length. The formula is (a + b)/2 x h x l
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The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years
inn [45]

Answer:

b. The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

c. Student's t distribution, as it is a two-sample test for the difference between means.

d. Test statistic t = 5.42.

P-value = 0

e. They appear to be significantly different, as the sample data gives strong evidence that the difference is greater than 0.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean life spans in the county is significantly different for whites and nonwhites.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The significance level is 0.05.

The sample 1 (white), of size n1=124 has a mean of 45.3 and a standard deviation of 12.7.

The sample 2 (non-white), of size n2=82 has a mean of 34.1 and a standard deviation of 15.6.

The difference between sample means is Md=11.2.

M_d=M_1-M_2=45.3-34.1=11.2

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12.7^2}{124}+\dfrac{15.6^2}{82}}\\\\\\s_{M_d}=\sqrt{1.301+2.968}=\sqrt{4.269}=2.066

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{11.2-0}{2.066}=\dfrac{11.2}{2.066}=5.42

The degrees of freedom for this test are:

df=n_1+n_2-2=124+82-2=204

This test is a two-tailed test, with 204 degrees of freedom and t=5.42, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>5.42)=0.0000002

As the P-value (0.0000002) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean life spans in the county is significantly different for whites and nonwhites.

4 0
3 years ago
Write a multiplication problem in which the product has two decimal places
sukhopar [10]
.5 x .5 = .25

Here you go! :)
8 0
3 years ago
Read 2 more answers
Please help me do this
tia_tia [17]

Answer:

∠ U = 60°

Step-by-step explanation:

The tangent- tangent angle U is half the difference of its intercepted arcs

minor arc VT = 120° , then

major arc VT = 360° - 120° = 240°

Then

∠ U = \frac{1}{2} (240 - 120)° = \frac{1}{2} × 120° = 60°

5 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y - 40 = 9​
Nina [5.8K]

Answer:

3y=49

Step-by-step explanation:

yeppp I'm pretty sure

8 0
3 years ago
What is the rule that defines the function shown in the graph for the interval, {-2 < x < 0}?​
KIM [24]

Answer:

Step-by-step explanation:

720,080 in expanded form with components

(7 X 10>50

3 0
2 years ago
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