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tekilochka [14]
3 years ago
14

Need help with this assoon as possible

Mathematics
1 answer:
frez [133]3 years ago
4 0
10(x/2 + 8) = 11, expand

10x/2 + 80 = 11

5x/2 = 11-80= -69
5x = -138
x = - 138/5




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The probability model below describes the number of repair calls that an appliance repair shop may receive during an hour. Compl
defon

Answer:

a) So, she can expect a 2.4 calls per hour.

b) So, the standard deviation is 0.8.

Step-by-step explanation:

We know that probability model below describes the number of repair calls that an appliance repair shop may receive during an hour.

Repair Calls 1 2 3 4  

Probability 0.1 0.5 0.3 0.1

a) We calculate how many calls should the shop expect per hour.

We get:

E(X)=1\cdot0.1+2\cdot0.5+3\cdot0.3+4\cdot0.1\\\\E(X)=0.1+1+0.9+0.4\\\\E(X)=2.4

So, she can expect a 2.4 calls per hour.

b) We calculate the standard deviation:

\sigma=\sqrt{(1-2.4)^2\cdot 0.1+(2-2.4)^2\cdot 0.5+(3-2.4)^2\cdot 0.3+(4-2.4)^2\cdot 0.1}\\\\\sigma=\sqrt{0.196+0.08+0.108+0.256}\\\\\sigma=\sqrt{0.64}\\\\\sigma=0.8

So, the standard deviation is 0.8.

3 0
3 years ago
Do the angles of a triangle always add up to 180?
Jlenok [28]
Yes triangles always add up to 180
8 0
4 years ago
A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use
Lerok [7]

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

V = \pi r^2h

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that h = 12, r = 1.5

What is its volume?

V = \pi r^2h = 3.14(1.5)^2(12) = 84.78

It's volume is of 84.78 cubic inches.

6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!<br><br> What is [100(−4)^n-1} equal to?
nikklg [1K]

Answer:   -5100

<u>Step-by-step explanation:</u>

\sum^4_1[100(-4)^{n-1}]\qquad \rightarrow \qquad a_1=100\ \text{and r = -4}\\\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\\\S_4=\dfrac{100(1-(-4)^4)}{1-(-4)}\\\\\\.\quad=\dfrac{100(1-256)}{1+4}\\\\\\.\quad=\dfrac{100(-255)}{5}\\\\.\quad=20(-255)\\\\.\quad=-5100\\

3 0
3 years ago
Where are the asymptotes for the following function located? f (x) = StartFraction 14 Over (x minus 5) (x + 1) EndFraction
m_a_m_a [10]

Answer:

2 vertical asymptotes occurring at x = 5 and x = -1

Step-by-step explanation:

given

f(x) = \frac{14}{(x-5)(x+1)}

recall that asymptotic occur at the locations that will make the equation undefined. In this case, the asymptote will occur at x-locations which will cause the denominator to become zero (and hence undefined)

Equating the denominator to zero,

(x-5)(x+1) = 0

(x-5) =0

x = 5 (first asymptote)

or (x+1) = 0

x = -1  (2nd asymptote)

6 0
3 years ago
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