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Anvisha [2.4K]
3 years ago
15

Please help me with #8

Mathematics
2 answers:
Julli [10]3 years ago
7 0
I believe it would be 1 aka F
mojhsa [17]3 years ago
6 0

I think the answer might be J 3(-4) since there are 3, -4 jumps.



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A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are
lidiya [134]

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

H_0: \mu_1 - \mu_2 = 0

H_a: \mu_1 - \mu_2 > 0

In which \mu_1 is the mean pine trees height while \mu_2 is the mean spruce trees height.

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

X = 35 - 30 = 5

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2

s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{5 - 0}{2.4495}

z = 2.04

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

8 0
3 years ago
The average cost per unit C(x), in dollars, to produce x units of toy cars is given by C(x)=(8000)/(x−50)C(x)=(8000)/(x−50). Wha
podryga [215]
C(x)= \frac{8000}{x-50}

gives an average cost per unit, if we want to produce x of them.

So for example, we want to produce 500 toy cars for our store, and we need a price per unit (per 1 toy car). What we do is we calculate C(500). 

So to calculate the cost of one unit when producing 1250, we calculate C(1250)
 
C(1250)= \frac{8000}{1250-50}= \frac{8000}{1200}=6.67 $ is the cost of 1 toy car.

Answer
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Gary's car travel 30 miles on 1 1/5 gallon of gas. Gary wants to travel 90 miles. How many gallons of gas will his car use?
3241004551 [841]
Gary car will use 18 miles/gallons
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Julia charged $612 to her credit card. The cost of her next purchase caused her to go over her credit limit of $2000.
Fynjy0 [20]
She has already spent 612, and by adding C 612 has gone ABOVE 2000
So 612 + C MUST be Greater Than 2000
The answer is D
7 0
3 years ago
Read 2 more answers
Find the quotient of 2.632 · 104 and 2 · 10-7.
faust18 [17]
<span> 2.632 x 10^4  ÷  2 x 10-7 =

1.316 x 10^11


</span>
5 0
3 years ago
Read 2 more answers
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