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taurus [48]
3 years ago
12

Put this equation into slope- intercept form. 3x – 2y = 4

Mathematics
1 answer:
PtichkaEL [24]3 years ago
5 0

Answer:

y= 3/2x -2

Step-by-step explanation:

make y be on one side by itself ( -2y = -3x + 4 )

divide by negative 2 in order to get y by itself ( -2y/-2 = -3/-2 + 4/-2 )

two negatives make a positive ( y = 3/2 + -2 )

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In 2011, the industries with the most complaints to the Better Business Bureau were banks, cable and satellite television compan
ale4655 [162]

Answer:

Step-by-step explanation:

Hello!

The variable of study is

X: number of complaints per industry (Categorized: Bank, Cable, Car, Cell, Collection

Considering this is a categorical variable, and the hypothesis is that all categories have the same probability, you have to apply a Chi-Square  Goodness to Fit test.

Observed frequencies per category

1) Bank: 26

2) Cable: 44

3) Car: 42

4) Cell: 60

5) Collection: 28

Total= 200

Statistical hypotheses:

H₀: P₁=P₂=P₃=P₄=P₅=1/5

H₁: At least one of the proposed proportions is different.

α: 0.01

X^2= sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}

For this test the formula for the expected frequencies is:

E_i= n * P_i

So the expected values for each category is:

E_1= n * P_1= 200*1/5= 40

E_2= n * P_2= 200*1/5= 40

E_3= n * P_3= 200*1/5= 40

E_4= n * P_4= 200*1/5= 40

E_5= n * P_5= 200*1/5= 40

X^2_{H_0}= \frac{(26-40)^2}{40} +\frac{(44-40)^2}{40} +\frac{(42-40)^2}{40} +\frac{(60-40)^2}{40} +\frac{(28-40)^2}{40} = 11.5

This test is one tailed and so is its p-value, under a Chi-square with 4 degrees of freedom p-value:  0.021484.

The p-value is less than the significance level so the decision is to reject the null hypothesis.

c. The industry with most complaints is the cellular phone providers

I hope this helps!

3 0
4 years ago
Find the slope of the line that passes through Point A $$(−1,0) and Point B $$(0,2) using $$m=
vitfil [10]
Slope (m) equals rise over run
Y-intercept is when x=0
Up (rise) two over (run) one, so 2/1=2 would be your slope.
When x=0, y=2. 2 is your y-intercept.
Plug those into the equation y=mx+b
Y=2x+2. Which is your answer. Glad to help

7 0
3 years ago
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