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2 years ago

Solve the Equations

Mathematics

1 answer:

Vikentia [17]2 years ago

5 0

Answer:

1) -2.13

2) 2.57

3) 33

Step-by-step explanation:

3(8 + 5h) = -28 Distribute the 3

24 + 15h = -28 Subtract 24 from both sides of the equation

15h = -32 Divide both sides by 15 and round

h = - 2.13

19 = 7(3n - 5) Distribute the 7

19 = 21n - 35 Add 35 to both sides of the equation

54 = 21n Divide both sides of the equation by 21

2.57 = n

6s - 7s = -33 Combine the s's

-s = -33 Multiply both sides by -1

s = 33

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Point F is at (0, -10) and point H is at (-6, 5). Find the coordinates of point G on line segment FH such that the ratio of FG t

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Answer:

G(x,y)=(-4,0)

Step-by-step explanation:

We use the section formula:

$(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)$

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3 years ago

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3 years ago

Read 2 more answers

Mr. Johns has up to 100 ceramic goods including mugs and plates available for his art class to decorate at the end of the year.

MA_775_DIABLO [31]

Answer:

m + p >= 100

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Step-by-step explanation:

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3 years ago

Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If th

ioda

Answer:

The bottom cutoff heights to be eligible for this experiment is 66.1 inches.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 69.0 inches and a standard deviation of 2.8 inches.

This means that $\mu = 69, \sigma = 2.8$