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Sindrei [870]
3 years ago
15

Simplify, so that there is only one equation which equals 0.

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

Step-by-step explanation:

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According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a
Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, \mu = 2.58 and Standard deviation, \sigma = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

             Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar \leq 2.50)

P(Xbar < 2.66) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } } ) = P(Z < -1.68) = 1 - P(Z  1.68)

                                                              = 1 - 0.95352 = 0.04648

P(Xbar \leq 2.50) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }  ) = P(Z \leq  -3.92) = 1 - P(Z < 3.92)

                                                              = 1 - 0.99996 = 0.00004  

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0
3 years ago
Dewwwwwwwwwwwwwwwwwwwwwwwwwwwww
Komok [63]

Answer:

c

Step-by-step explanation:

Since it is a ratio to those who get bonus and don't, it is 24:80.

you must add 24+56 to get total amount of employees.

24+56=80

therefore, the answer is 24:80

3 0
3 years ago
Can someone answer all of my questions cause I need the answers rn.ty ILY <br><br>​
slamgirl [31]

Answer:

Sure

Step-by-step explanation:

But Where's the questions sweetie

7 0
2 years ago
3. How many turning points does the graph P(x) = (x-7)(x + 4)(x-2)
mixer [17]

Answer:

The y intercept in P(x) =4

1.C

3.B

3 0
3 years ago
The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elev
sweet [91]
The answer is -4 2/3

Explanation : The elevator is at 0, and went below ground level 90 feet, that would be -90, then it went up 20 feet, which would be -90 + 20 = -70

-70 ft / 15sec = - 4 2/3

I am not sure about the ground level and negative difference but that it is what I was taught. Below ground level is negative and above is positive. Therefore the elevator traveled up and it traveled -4 2/3 per second.
It so either 4 2/3 or - 4 2/3 but pretty sure it is - 4 2/3.

:)))
6 0
3 years ago
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