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2 years ago

Heyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Mathematics

2 answers:

jonny [76]2 years ago

4 0

1. 17.5

2. B = 3 A=3 area = 22

3. =18

4. =29

nadezda [96]2 years ago

3 0

1. triangle + rectangular = (1/2 x 6 x 4) + (6 x 7.5) = 57 ft^2

2. A + B + C = (1/2 x 2 x 3) + (11 x 4) + (1/2 x 3 x 3) = 51,5 ft^2

3. square + rectangular = (2 x 2) + (3 x 6)= 22 m^2

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What is the volume of the cone to the nearest cubic meter? (Use π = 3.14) A) 21 m3 B) 84 m3 C) 168 m3 D) 335 m3

AveGali [126]

Answer:

The correct answer is A) 46 mm3

Hope it helps!

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3 years ago

Read 2 more answers

A counselor at a community college claims that the mean GPA for students who have transferred to State University is more than 3

Lena [83]

Answer:

$t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3$

If we compare the p value and the significance level for example $\alpha=1-0.99=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

Step-by-step explanation:

Data given and notation

$\bar X=3.25$ represent the sample mean

$s=0.3$ represent the sample standard deviation

$n=36$ sample size

$\mu_o =3.1$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is more than 3.1, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.1$

Alternative hypothesis: $\mu > 3.1$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{3.25-3.1}{\frac{0.3}{\sqrt{36}}}=3$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=36-1=35$

Since is a one right tailed test the p value would be:

$p_v =P(t_{(35)}>3)=0.00247$

Conclusion

If we compare the p value and the significance level for example $\alpha=1-0.99=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

And the best conclusion would be:

a) Yes. The counselor's claim is valid

Because we reject the null hypothesis in favor to the alternative hypothesis.

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3 years ago

Determine the total annual FICA tax for an annual salary of $165,000. Use $106,800 for maximum taxable earnings.

Slav-nsk [51]

<span>The Federal Insurance Contributions Act (FICA) requires employers to withhold a certain percentage of an employee's income as tax. The categories are: 6.2% as social security tax 1.45% as Medicare tax 0.9% as Medicare surtax for employees earning more than $200,000 In this case, the percentage of tax applied will be 6.2 + 1.45 = 7.65% The FICA tax will be 165,000 * 0.0765 FICA tax = $12,622.50</span>

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3 years ago

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From the hay loft door, Ted sees his dog on the ground. The angle of depression of the dog is 40º. Ted's eye level is 16 feet ab

Vlad1618 [11]

Answer: 19 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Tan α = opposite side / adjacent side

Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.

Replacing with the values given:

tan40 = 16/x

Solving for x

x =16/tan40

x= 19 ft

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

Help a girl out!!!!!

anzhelika [568]

Answer:

I believe the answer is D. $20\frac{3}{4}$ Hope i'm right

Step-by-step explanation:

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2 years ago