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2 years ago

Solve the proportion

Mathematics

1 answer:

Vlada [557]2 years ago

6 0

Answer:

$\boxed{\sf{{x=\dfrac{8}{5}=1.6}}}$

Step-by-step explanation:

All you have to do to solve this is isolate the term of x from one side of the equation.

$\sf{\dfrac{x}{4}=\dfrac{2}{5} }$

First, you multiply by 4 from both sides.

$\sf{\dfrac{4x}{4}=\dfrac{2*4}{5} }$

Then, solve.

$\sf{2*4=8}$

$\sf{=\dfrac{8}{5} }$

Also, you can divide.

8/5=1.6

Therefore, the answer is 8/5=1.6

I hope this helps! Let me know if my answer is wrong or not.

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Subtract −7n+2 from 2n−1 .

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2n−1 + 7n - 2
= 9n - 3

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2 years ago

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The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

o-na [289]

Answer:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

$\bar X$ represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

$\sigma_o =\sqrt{0.027}=0.164$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic

$\alpha=$ significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: $\sigma \leq 0.027$

H1: $\sigma >0.027$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(30-1) [\frac{0.2}{0.164}]^2 =42.963$

What is the approximate p-value of the test?

The degrees of freedom are given by:

$df=n-1= 30-1=29$

For this case since we have a right tailed test the p value is given by:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

And the best option would be:

b. between .025 and .05

6 0

3 years ago

The two interior opposite Angel's of a triangle are 60° and 80°. Find the measure of the exterior angle.

Vadim26 [7]

let the exterior angle be x

x=60°+80°(being one exterior angle is equal to two interior angle)

x°=140°

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2 years ago

Please someone help me i dont know the answer

romanna [79]

Answer:

31 yrs

Step-by-step explanation:

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3 years ago

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Pls helppp me this is very very urgent

Nat2105 [25]

Answer:

1. 5040

2. 20

Step-by-step explanation:

1. using the formula for permutation

nPr=n!/(n-r)!

10P4 = 10!/(10-4)!

=10*9*8*7*6!/6!

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2.using the formula for combination

nCr=n!/(n-r)!r!

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3 years ago

Solve the proportion​

Solve the proportion