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3 years ago

2/3 ÷ 8/9 with explanation and steps...

Mathematics

1 answer:

pishuonlain [190]3 years ago

8 0

Answer:

2/3 ÷ 8/9

$\frac{2}{3} \div \frac{8}{9}$

$\frac{2}{3} \times \frac{9}{8}$

$\frac{1}{1} \times \frac{3}{4}$

$\frac{3}{4}$

hope this will help you more

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A newspaper reports that the population mean annual salary of a full-time college professor in a certain region is exactly $127,

Leya [2.2K]

Answer:

Option B) Fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $127,000

Sample mean, $\bar{x}$ = $126,092

Sample size, n = 160

Alpha, α = 0.10

Sample standard deviation, σ = $8,509

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 127000\text{ dollars}\\H_A: \mu \neq 127,000\text{ dollars}$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

$t_{stat} = -1.35$

Now, $t_{critical} \text{ at 0.10 level of significance, 159 degree of freedom } = \pm 1.654$

Since,

The calculated t-statistic lies in the acceptance region, we fail to reject and accept the null hypothesis.

Option B) Fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.

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3 years ago

Find the indefinite integral. (use c for the constant of integration.) sin xcos5 x dx

Alik [6]

:) Well, I dunno about anyone else but this question makes my head spin!

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3 years ago

An umbrella costs $6. If Iris purchases 2 umbrellas, how much will these umbrellas cost? Solve an equation to find the answer.

Wewaii [24]

Answer: $12

Step-by-step explanation: $6 x 2 = $12

Hope this helps!