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Ksju [112]
2 years ago
6

-9(m + 2) + 4(6 – 7m)

Mathematics
1 answer:
Travka [436]2 years ago
4 0
I think it is -37m+17 but I am not sure
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The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran
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Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $44,500

Sample mean, \bar{x} = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s =  $9,500

a) First, we design the null and the alternate hypothesis

H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753

Since,                    

t_{stat} > t_{critical}

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income  than the national average

5 0
3 years ago
Make it 0 on one side <br><br> x2 - 2x + = 4(x2-2x +1)-3
Shkiper50 [21]

Answer:

-3x² +6x -1 = 0

Step-by-step explanation:

x2 - 2x + = 4(x2-2x +1)-3

x² - 2x = 4x²-8x +4 - 3

x²-4x²-2x+8x = 4-3

-3x² +6x = 1

-3x² +6x -1 = 0

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3 years ago
Multiply and reduce 4x^2/3*(9/x)3
Lilit [14]
So you follow the steps and i hope this will be easy for you .

4 0
3 years ago
Jack is a professional weightlifter. his personal lifting record was 125.8kg. at a weightlifting competition, he broke his own r
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Answer:

126.34kg

Step-by-step explanation:

125.8+0.54=126.34kg

Convert 540 grams to kilograms` 0.54 kilograms, and add to the previous record

5 0
2 years ago
Complete the proof....​
mart [117]

Answer:

2d, 3b

Step-by-step explanation:

pay attention in class

these are simple theorems

i wish you all the best

if you want, i can explain them to you

5 0
2 years ago
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