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Elenna [48]
3 years ago
15

-2(-7n-8)=-39+3n. plz solve and explain the answer​

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

Answer:

n = -5

Step-by-step explanation:

-2(-7n-8)=-39+3n

Distribute

14n +16 = -39 +3n

Subtract 3n from each side

14n -3n +16 = -39 +3n -3n

11n +16 = -39

Subtract 16 from each side

11n +16 -16 = -39 -16

11n = -55

divide by 11

11n /11 = -55/11

n = -5

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What is the value of X2/Y1 when x =10 and Y =five?
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Step-by-step explanation:

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8 0
4 years ago
A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in. The length
Sever21 [200]

Answer:

width = 1.8 in

length =   3.6 in

height =8-3w =8-3(1.8)= 2.6 in

Step-by-step explanation:

A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in

Let l , w and h are the length , width and height

l +w+h=8\\l=2w

Plug it in the first equation

2w+w+h=8\\3w+h=8\\h=8-3w

volume the box is length times width times height

volume = (2w)(w)(8-3w)\\16w^2-6w^3

To get maximum volume we take derivatived

v'=32w-18w^2

set the derivative =0 and solve for w

0=32w-18w^2\\0=-2w(9w-16)\\w=0 , w= \frac{16}{9}

width = 1.8 in

length = 2w= 3.6 in

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6 0
3 years ago
In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. C
aliya0001 [1]

Answer:

3.6661

3.6661

A, Adding a constant does nothing to the standard deviation

Step-by-step explanation:

I'm gonna assume s=standard deviation

The standard deviation is just the square root of the second moment minus the first moment squared

Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely

Let's start by calculating the first moment (AKA The mean)

1/5(8+16+14+8+16)= 12.4

Let's then find the second moment

1/5(8²+16²+14²+8²+16²)= 167.2

√(167.2-12.4²)=3.6661

b.

While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun

same process

.2(16+24+22+16+24)= 20.4

.2(16²+24²+22²+16²+24²)=429.6

√(429.6-20.4²)= 3.6661

6 0
3 years ago
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Hunter-Best [27]

Step-by-step explanation:

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3 0
3 years ago
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