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3 years ago

What is 68−−√ in simplest radical form?

Mathematics

1 answer:

MariettaO [177]3 years ago

6 0

I think you mean $\sqrt{68}$ so I will just simplify that.

$\sqrt{68}=\sqrt{4}*\sqrt{17}=2\sqrt{17}$

answer: $2\sqrt{17}$

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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.

8 0

3 years ago

2x + 2 > 10.<br> A. X<4<br> B. X>4<br> C. X<6<br> D. X>6

OLga [1]

2x + 2 > 10
2x + 2 - 2 > 10 - 2
2x > 8
2x / 2 > 8 / 2
X > 4

8 0

3 years ago

Read 2 more answers

A seafood restaurant owner orders perch and salmon. Perch is four dollars per pound and salmon is three dollars per pound. He wa

Svetach [21]

Answer:

He can buy at least 34 pounds of fish.

Step-by-step explanation:

4x + 3x $\leq$ 240

7x $\leq$ 240

(240 divided by 7 gives you a decimal, so you would round it to the nearest whole number)

x $\leq$ 34

0 0

3 years ago

Please answer this correctly

BabaBlast [244]

Answer:

19.63

Step-by-step explanation:

If the radius is 5 centimeters, then the area is just 3.14*5^2 / 4, which is 78.5/4. This is equal to 19.625. Rounding this give us 19.63 as the final answer

8 0

3 years ago

The mean age of five children in a family is 12 years.Work out the total age of the children.

Makovka662 [10]

$Mean\;Age\;of\;Five\;Children = \frac{Sum\;of\;Ages\;of\;Five\;Children}{5}$

Given the Mean Age of Five Children = 12

$\implies \frac{Sum\;of\;Ages\;of\;Five\;Children}{5} = 12$

⇒ Total Age of the Chidren = 12 × 5 = 60 Years

6 0

4 years ago