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3 years ago

4:7 :: m:42 I don't know how to solve this

Mathematics

2 answers:

Yanka [14]3 years ago

4 0

This one is easy for me and i believe that's correct answer.

joja [24]3 years ago

3 0

M = 24

To solve that you divide 42/7 which is 6 then you multiply 4*6 and you get 24

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If m<DEF = 145°, then what is m<FEG?

morpeh [17]

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line g d equals 180 degrees

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Show me how to do the equation 6=z÷14

polet [3.4K]

Answer:

$\Huge \boxed{Z=84}$

Step-by-step explanation:

To solve this problem, first you have to isolate it on one side of the equation. Remember to solve this problem, multiplication property of equality is multiply both sides of an equation the same number doesn't change the equation.

First, switch sides.

$\displaystyle \frac{z}{14}=6$

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4 years ago

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The speeds of vehicles traveling on a highway are normally distributed with a population standard deviation of 7 miles per hour

True [87]

Answer: $(56.03\ ,63.97)$

Step-by-step explanation:

Given : The speeds of vehicles traveling on a highway are normally distributed .

Standard deviation: $\sigma: 7$

Since , sample size : $n=20$ , which is small sample (n<30) so the test applied here is a t-test.

Degree of freedom= $n-1=20-1=19$

Sample mean : $\overline{x}=60$

Level of significance : $1-\alpha:0.98$

Then , significance level : $\alpha: 1-0.98=0.02$

Using t-distribution table , Critical value : $\text{t-score}=t_{n-1, \alpha/2}= 2.539483$

The confidence interval for population mean is given by :-

$\overline{x}\pm t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

$60\pm( 2.539483)\dfrac{7}{\sqrt{20}}\approx60\pm3.97=(56.03\ ,63.97)$

Hence, a 98% confidence interval for the population mean= $(56.03\ ,63.97)$

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3 years ago