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3 years ago

Find the missing variable for a parallelogram: A=64 h= b= 12.6

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

3 0

Answer: h= 5.08

Step-by-step explanation:

In a parallelogram , the formula to find the area of the parallelogram is given by :-

$A=b\times h$ , where b is the base and h is the height of the parallelogram.

Given : A=64 h=? b= 12.6

Substitute these values in the above formula , we get

$64=12.6\times h$

Divide both sides by 12.6 , we get

$h=\dfrac{64}{12.6}=5.07936507937\approx5.08$

∴ The missing variable : h= 5.08

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Read 2 more answers

An average computer mouse inspector can inspect 50 mice per hour. The 48 computer mice inspectors at a particular factory can on

Ronch [10]

Answer: C. Yes, because -2.77 falls in the critical region .

Step-by-step explanation:

Let $\mu$ be the population mean .

As per given , we have

$H_0:\mu=50\\\\ H_a: \mu$

Since the alternative hypothesis is left-tailed and population standard deviation is not given , so we need to perform a left-tailed t-test.

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

Also, it is given that ,

n= 48

$\overline{x}=46$

s= 10

$t=\dfrac{46-50}{\dfrac{10}{\sqrt{48}}}=\dfrac{-4}{\dfrac{10}{6.93}}\\\\=\dfrac{-4}{1.443}\approx-2.77$

Degree of freedom = df = n-1= 47

Using t-distribution , we have

Critical value = $t_{\alpha,df}=t_{0.025,47}=2.0117$

Since, the absolute t-value (|-2.77|=2.77) is greater than the critical value.

So , we reject the null hypothesis.

i.e. -2.77 falls in the critical region.

[Critical region is the region of values that associates with the rejection of the null hypothesis at a given probability level.]

Conclusion : We have sufficient evidence to support the claim that these inspectors are slower than average.

Hence, the correct answer is C. Yes, because -2.77 falls in the critical region

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3 years ago