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denis-greek [22]
3 years ago
14

Solve the equation -4x + 7 y equals 20. Y=3x+15

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0

Substitue what y equals for y and solve.

-4x+7(3x+15)=20 \\-4x+27x+105=20 \\23x=-85 \\x=-\boxed{\frac{85}{23}}

Hope this helps.

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A pot of piping hot stew has been removed from the stove and left to cool.
Effectus [21]

Answer: 17.47 minutes

Step-by-step explanation:

8 0
3 years ago
How many factors does 144 have?<br> i need it fast pleaseeee
Vedmedyk [2.9K]
<span>1,2,3,4,6,8,9,12,16,18,24,36,48,72,144,

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Read 2 more answers
How to find the number of sides of a polygon when given the interior angle sum
wariber [46]

Given:

Sum of interior angle

To find:

Number of sides of a polygon

Solution:

Using sum of interior angles formula:

$S=(n-2) \times 180^{\circ}

where "S" is the sum of interior angels and "n" is the number of sides of a polygon.

Divide by 180° on both sides.

$\frac{S}{180^{\circ}}=\frac{(n-2) \times 180^{\circ}}{180^{\circ}}

Cancel common factor 180°.

$\frac{S}{180^{\circ}}=n-2

Add 2 on both sides.

$\frac{S}{180^{\circ}}+2=n-2+2

$\frac{S}{180^{\circ}}+2=n

Switch the sides.

$n=\frac{sum}{180^{\circ}}+2

Therefore number of sides of a polygon is n=\frac{sum}{180^{\circ}}+2.

3 0
3 years ago
A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a
Musya8 [376]

Answer:

Check Explanation

Step-by-step explanation:

A) The null hypothesis would be that the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white & there is no significant evidence that the company's hiring practices are discriminatory.

Mathematically,

H₀: μ₀ = 0.53

And the alternative hypothesis would be that there is a significant difference between the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white. More specifically, that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white & there is significant evidence that the company's hiring practices are indeed discriminatory.

Mathematically,

Hₐ: μ₀ < 0.53

B) The two errors that can come up in this hypothesis testing include -

Type I error: We reject the null hypothesis because we obtain that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white and conclude that there is indeed significant evidence that the company's hiring practices are discriminatory when in reality, there is no significant difference and hence, no discrimination.

Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.

C) The power of the test increases as the significance level reduces. This is because t-statistic increases as significance level reduces.

D) The standard error of the mean used in computing the t-score is given as

σₓ = (σ/√n)

It is evident that as the value of n increases, the standard error reduces and this widens the effect of the test, hence, the power of the test increases.

Hope this Helps!!!

7 0
3 years ago
Answers with links will be reported
Ber [7]

Answer:

11 months

Step-by-step explanation:

the math that i did was i kept adding 400 to 2500 and counted every four hundred that i added witch was 11 until i got to 7000 so the answer is 11 months. You will have some left over which you will have 300 left over.

8 0
3 years ago
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