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Ahat [919]
3 years ago
5

Evaluate the expression for the given values of the variables.

Mathematics
2 answers:
Vesna [10]3 years ago
7 0

The answer is D or -30

Anna71 [15]3 years ago
4 0

 4(-5) + 7(3) + 3(-5) - 2(3) + 2(-5)

-20 + 21 + (-15) - 6 + (-10)

1 + (-15) - 6 + (-10)

(-14) - 6 + (- 10)

-14 + -6 + (-10)

-20 + -10

= -30

the answer is -30

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Suppose the coffee industry claimed that the average U.S. adult drinks 1.7 cups of coffee per day. To test this claim, a random
kvv77 [185]

Answer:

a) This t-value obtained (2.92) is in the rejection region (t > 1.69), hence, the sample does not support the cofdee industry's claim.

b) p-value for this test = 0.006266

c) The p-value obtained for this test is lesser than the significance level at which the test was performed, hence, we can reject the nuĺl hypothesis and say that there is enough evidence to suggest that the coffee industry's claim isn't true based in results obtained from the sample data.

Step-by-step explanation:

a) Degree of freedom = n - 1 = 34 - 1 = 33

The critical value of t for a significance level of 0.10 and degree of freedom of 33 = 1.69

Since we are testing in both directions whether the the average U.S. adult drinks 1.7 cups of coffee per day using our sample,

The rejection region is t < -1.69 and t > 1.69

So, we compute the t-statistic for this sample data to test the claim.

t = (x - μ)/σₓ

x = sample mean = 1.95 cups of coffee per day

μ₀ = The standard we are comparing against = 1.7 cups of coffee per day

σₓ = standard error = (σ/√n)

σ = standard deviation = 0.5 cups

n = Sample size = 34

σₓ = (0.5/√34) = 0.0857492926 = 0.08575

t = (1.95 - 1.70) ÷ 0.08575

t = 2.9154759464 = 2.92

This t-value obtained is in the rejection region, hence, the sample does not support the cofdee industry's claim.

b) Checking the tables for the p-value of this t-statistic

Degree of freedom = df = n - 1 = 34 - 1 = 33

Significance level = 0.10

The hypothesis test uses a two-tailed condition because we're testing in both directions.

p-value (for t = 2.92, at 0.10 significance level, df = 33, with a two tailed condition) = 0.006266

c) To use PHStat, the claim that the average U.S. adult drinks 1.7 cups of coffee per day is the null hypothesis.

The alternative hypothesis is that the real number of cups of coffee that the average U.S. adult drinks as obtained from the sample data, is significantly different from the 1.7 in the coffee industry's claim.

The p-value obtained from PHstat = 0.0063

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.10

p-value = 0.0063

0.0063 < 0.10

Hence,

p-value < significance level

This means that we reject the null hypothesis, accept the alternative hypothesis & say that there is enough evidence to suggest that the coffee industry's claim isn't true based in results obtained from the sample data.

Hope this Helps!!!

5 0
3 years ago
I don’t know how to do this one. could someone help
DedPeter [7]

Answer:

If it is being dilated from (0,0) the answer is below.  

Step-by-step explanation:

It depends on where it is scaled from.  If you choose a point directly to that points left it will be pushed tot he right, and vice versa if it is on its right.    Same for above and below

I am going to assume we are dilating from (0,0), but again, if there is another part of the question saying where it's from use this method for that as well.

So, from (0,0) the initial point is (-3, 11)  Scaling by a factor of 3 means it gets pushes AWAY so it is 3 times as far away.  (If it were a fraction or decimal it would be getting pulled closer)

Using (0,0) as the dilation point is the easiest because we just have to ask how far are the x and y coordinates away from (0,0) and any number is THAT number away from 0.  

We break this into the two coordinates too.  so how far is -3 from 0?  -3.  so we want a point 3 times as far away, so what is that?  -9.  Same for 11, 11 is 11 away from 0 so we want it 3 times as far, which is 33.

Now that we have the two coordinates  that is the answer.  

(-9, 33)

6 0
3 years ago
What percent is 25/75?
DaniilM [7]

Answer:

33.33%

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Circle A has a radius of 9.0 cm. The shortest distance between B and C on the circle is 8.5 cm. What is the approximate area of
love history [14]

Answer:

38.25 cm²

Step-by-step explanation:

We use the formula for the length of an arc to find the central angle of the sector of the circle.

Then we use the formula for the area of a sector of a circle to find the area.

Length of arc of circle of radius r:

s = \dfrac{n}{360^\circ}2 \pi r

s = arc length

n = measure of the central angle of the sector

s = \dfrac{n}{360^\circ}2 \pi r

8.5~cm = \dfrac{n}{360^\circ}2 \pi \times 9.0~cm

n = 54.1^\circ

Area of sector of circle of radius r:

A = \dfrac{n}{360^\circ} \pi r^2

A = area of sector of circle

n = measure of the central angle of the sector

A = \dfrac{54.1^\circ}{360^\circ} \pi (9.0~cm)^2

A= 38.25~cm^2

5 0
2 years ago
75% of what equals 30
poizon [28]

Answer:

30 is 75% of 40

Step-by-step explanation:

We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75,  x = 40.

And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.

7 0
3 years ago
Read 2 more answers
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