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matrenka [14]
3 years ago
9

A rectangular garden is 15 ft longer than it is wide. Its area is 6750 ft 2 . What are its dimensions

Mathematics
1 answer:
xxMikexx [17]3 years ago
6 0

Answer:

450 x 15 = 6750 ft 2

Step-by-step explanation:

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Question<br> 9<br> What is the circumference of a circle whose diameter is ?<br> 2
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6.28 because pi x diameter = circumference.

( diameter = half of a circle)

Step-by-step explanation:

6 0
2 years ago
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Suppose that we want to test the hypothesis with a significance level (alpha) of .05 that the climate has changed since industri
saw5 [17]

Answer: we reject the initial claim

(50. 3802, 51.6198)

Step-by-step explanation:

A)

The initial statement is that the mean temperature throughout history is 50°

This is the null hypothesis and it is denoted as H'

H': u = 50.

After taking a sample of 40 years, we realized that the mean temperature is 51°.

This is the alternative hypothesis, in contradiction to the alternative.

The alternative hypothesis is denoted as H1

H1: u > 50 ( upper tailed).

Sample size (n) = 40

Sample mean (x) = 51

Population standard deviation (σ) = 2

We use a z test to get the value of the test statistics.

We are using a z test because sample size is greater than 30 ( n = 40) and population standard deviation is given.

Z score = x - u/ (σ/√n)

Z score = 51 - 50 / (2/√40)

Z score = 1 / 0.3162

Z score = 3.16

Our level of significance is 5%, and the critical value at this level of significance is 1.645.

By comparing the z score relative to the critical value, since our z score is greater than 1.645, it implies that we are in the rejection region hence we reject the initial claim.

B)

We are to construct a 95% confidence interval for population mean temperature.

For upper limit

u = x + Zα/2 ×(σ/√n)

Where Zα/2 = 1.96 which is the critical value for a two tailed test at 5% level of significance.

For upper limit, we have that

u = 51 + 1.96 × (2/√40)

u = 51 + 1.96 (0.3162)

u = 51 + 0.6198

u = 51.6198.

For lower limit, we have that

u = 51 - 1.96 × (2/√40)

u = 51 - 1.96 (0.3162)

u = 51 - 0.6198

u = 50. 3802.

Hence the 95% confidence level for mean temperature is given as (50. 3802°, 51.6198°)

7 0
2 years ago
Can you help me please
MArishka [77]

Answer:

Step-by-step explanation:

(x^{-2})^3\\\\x^{-2*3}\\\\x^{-6}

(x^3)^2\\\\x^{3*2}\\\\x^6

x^{-2}*x^3\\\\x^{-2+3}\\\\x^1\\\\x

x^2*x^{-3}\\\\x^{2-3}\\\\x^{-1}\\\\\frac{1}{x}

x^2*x^3\\\\x^{2+3}\\\\x^5

Hope this helps!

6 0
2 years ago
Read 2 more answers
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