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Brilliant_brown [7]
2 years ago
7

Starting at the point (-3,2) go left 9 and down 8. What ordered pair gives the location of this new point

Mathematics
1 answer:
tigry1 [53]2 years ago
5 0

The new a=plot would be:

(-3-9,2-8)=

<h2><u><em>(-12,-6)</em></u></h2>

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The mean per capita income is 23,037 dollars per annum with a variance of 149,769. What is the probability that the sample mean
mihalych1998 [28]

Answer:

Probability that the sample mean would be less than 23,013 dollars is 0.2358.

Step-by-step explanation:

We are given that the mean per capita income is 23,037 dollars per annum with a variance of 149,769.

Also, a sample of 134 persons is randomly selected.

Firstly, Let \bar X = sample mean

The z-score probability distribution for sample mean is given by;

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

where, \mu = population mean per capita income = 23,037 dollars p.a.

           \sigma = standard deviation = \sqrt{Variance} = \sqrt{149,769} = 387 dollars p.a

           n = sample of persons = 134

So, probability that the sample mean would be less than 23,013 dollars is given by = P(\bar X < 23,013 dollars)

      P(\bar X < 23,013) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{23,013-23,037}{\frac{387}{\sqrt{134} } } ) = P(Z < -0.72) = 1 - P(Z \leq 0.72)

                                                                    = 1 - 0.7642 = 0.2358

The above probability is calculated using the z-score table.

<em>Therefore, probability that the sample mean would be less than 23013 dollars if a sample of 134 persons is randomly selected is 0.2358.</em>

4 0
2 years ago
What is the value of one raised to any exponent
blondinia [14]
The value of 1 raised to any exponent would be 1 because no matter how many times you multiply 1 and 1, it will still be one. So 1 to the power of 200 would be one because you are multiplying 1 two-hundred times.

Final Answer: The answer would be one

8 0
3 years ago
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Which of the following represents the function f(x) = x2 − 14x − 1 in vertex form? Identify the vertex.
RUDIKE [14]
The vertex is (7,-50) 
***rewrite in standard form***
8 0
3 years ago
An 18 ft tall adult giraffe standing next to a statue casts a 9 ft shadow. If the statue is a 10 ft tall, then how long is it’s
sattari [20]
Well according to many studies the ans is 17ft it is very long according to associates when you add
3 0
3 years ago
PLEASE HELP!!! Justin is running a race. He has completed 28 km, which happens to be 70% of the total race. How long is
tensa zangetsu [6.8K]
Answer is 40km
Explanation:
So in this question we can use a proportion
Since
28km is 70% we can write it equal to 70%
28=70

and since 100% is unknown we can write it equal to x
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Then we put it in proportion form

28/x=70/100


Then cross multiply and divide

28(100)/70=x

Which would equal 40
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2 years ago
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