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lorasvet [3.4K]
3 years ago
12

Please Explain to me the steps of how to get the answer to -30+14.7

Mathematics
2 answers:
kupik [55]3 years ago
8 0
^^^ answer is above

natta225 [31]3 years ago
6 0
Just subtract 14.7 from 30 to get 15.3 and make that negative so the answer is -15.3.
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Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility
pashok25 [27]

Answer: a) D = √148

                 m = (-5,4)

b) D = √241

m = (1, 7.5)

c) D = √20

m = (0,-4)

Step-by-step explanation:

Distance and Midpoint Formulas

distance = D = √[(x₂-x₁)² + (y₂-y₁)²]

Midpoint: m = ((x₂+x₁)/2 , (y₂+y₁)/2)

(−4, 10) and (−6, −2)

D = √[(-6-(-4))² + (-2-10)²] = √[(-6+4))² + (-2-10)²] = √[(-2))² + (-12)²] =

√[4 + 144] = √148

m = ((-6+(-4))/2 ; (-2+10)/2

m = (-10/2 ; 8/2)

m = (-5,4)

(−1, 15) and (3, 0)

D = √[(3-(-1))² + (0-15)²] = √[(3+1))² + (0-15)²] = √[(4)² + (-15)²] =

√[16 + 225] = √241

m = ((3+(-1))/2 ; (0+15)/2

m = (2/2 ; 15/2)

m = (1,7.5)

(2, −3) and (−2, −5)

D = √[(-2-2)² + ((-5)-(-3)²] = √[(-4))² + (-5+3)²] = √[(-4)² + (-2)²] =

√[16 + 4] = √20

m = (-2+2))/2 ; (-5+(-3))/2

m = (0/2 ; -8/2)

m = (0,-4)

3 0
3 years ago
What is the y intercept of the function f(x)=2•3^x
kykrilka [37]

Answer:

\boxed{Option \ A}

Step-by-step explanation:

f(x) = 2*3^x

y intercept is when x = 0

So, Putting x = 0 in the above function

=> f(0) = 2*3^0

=> f(0) = 2*1

=> f(0) = 2

So, y-intercept is (0,2)

5 0
3 years ago
Read 2 more answers
Five more than 6 times a number is 77.what is the number
Nadusha1986 [10]

Answer:

12

The drawing will help

4 0
3 years ago
Read 2 more answers
5 What is the area of a triangle with a base of -7 mm and a height of 10 mm? 0 65 mm 4 0 13 mm 165 mm? 263 mm​
Ghella [55]
First, you have to know the formula of finding the area of a triangle. That is bh1/2. You multiple the base and height together and multiply it by 1/2 or divide by 2. You put in the info they gave you in the formula, after that you get 105/8. That is obviously not one of the choices and it is an improper fraction. The way to make it into a whole fraction is to do 105 divided by 8. Then, you get 13, which is the second answer. Finally, the area of the triangle is 13 1/8 squared mm.

7 0
3 years ago
Assume that the average life of a refrigerator is 14 years, with the standard deviation given in part (a) before it breaks. Supp
fiasKO [112]

Answer:

The guarantee should be made of X = 1.555 + 14\sigma years, in which \sigma is the standard deviation given in part (a).

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.

Assume that the average life of a refrigerator is 14 years

This means that \mu = 14

The standard deviation given in part (a) before it breaks.

This will be the value of \sigma

However, the company does not want to replace more than 6% of the refrigerators under guarantee. For how long should the guarantee be made?

We need to find the 100 - 6 = 94th percentile, which is X when Z has a pvalue of 0.94. So X when Z = 1.555. So

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

1.555 = \frac{X - 14}{\sigma}

X = 1.555 + 14\sigma

The guarantee should be made of X = 1.555 + 14\sigma years, in which \sigma is the standard deviation given in part (a).

7 0
3 years ago
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