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Galina-37 [17]
3 years ago
15

Over six months, a family's electric bills averaged $55 per month. The bills for

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
Answer:

$54.35

Step-by-step explanation:

The differences from the average value are;

2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.

The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;

(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55

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B
Alenkinab [10]

Answers:  

hypotenuse = 20 feet

longer leg = 16 feet

======================================================

Explanation:

c = x = length of the hypotenuse

a = x-4 = length of one of the legs

b = 12 = length of the other leg

Use the pythagorean theorem

a^2 + b^2 = c^2

12^2 + (x-4)^2 = (x)^2

144 + x^2 - 8x + 16 = x^2

144 - 8x + 16 = 0 .... the x^2 terms cancel

160-8x = 0

160 = 8x

8x = 160

x = 160/8

x = 20 is the hypotenuse

x-4 = 20-4 = 16 is the longer leg

--------

Check:

12^2+16^2 = 144+256 = 400

20^2 = 400

Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.

6 0
2 years ago
PLEASEE HELPP WILL BRAINLIST why would the average rate of the change be equal to zero from x = -2 to x = 6?
sweet-ann [11.9K]

Answer:

x=5

Step-by-step explanation:

I was working on this problem also.

Maybe my version will help, too.

You need to sketch f given the information you have.

f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)

f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.

f then slopes down to to x=5 where is has a minimum and then slopes up.

if im not wrong

7 0
3 years ago
Clare bought a photo for 19 cents and paid with a $1 bill. How much change should she receive? ASAP
crimeas [40]
81 cents. :))))))))((()
8 0
3 years ago
Help please thank you.
enot [183]

Answer:

h=a/b and the sencond one is 5ft

Step-by-step explanation:

1. isolate the varibles by dividing each side by factors that dont conatin the varible.

2. do 45 divied by 9.

7 0
3 years ago
If x has a continuous uniform distribution on the interval (0,5), what is the 25th percentile for x?
Natasha_Volkova [10]
Given that X\sim\mathrm{Unif}(0,5), it has PDF

f_X(x)=\begin{cases}\dfrac15&\text{for }0\le x\l5\\\\0&\text{otherwise}\end{cases}

and thus CDF

F_X(x)=\mathbb P(X\le x)=\begin{cases}0&\text{for }x

The 25th percentile is the value X=k such that \mathbb P(X\le k)=0.25. We have

\mathbb P(X\le k)=\dfrac k5=0.25\implies k=1.25
4 0
3 years ago
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