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kap26 [50]
3 years ago
8

Solve each absolute value equation and chose The correct answer from the choices provided |x|+5=18

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Solve the absolute value equation.

First subtract 5 from both sides.

|x|+5=18

|x|=13

If the absolute value of x is 13 that x equals 13 and -13. Absolute value means distance from 0.

x=13,-13

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In a study of red/green color blindness, 700 men and 2850 women are randomly selected and tested. Among the men, 66 have red/gre
olga55 [171]

Answer:

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

Step-by-step explanation:

Data given and notation  

X_{M}=66 represent the number of men with red/green color blindness.

X_{W}=8 represent the number of women with red/green color blindness.

n_{M}=700 sample of male slected

n_{W}=2850 sample of female selected

p_{M}=\frac{66}{700}=0.0943 represent the proportion of male with red/green color blindness.

p_{W}=\frac{8}{2850}=0.00281 represent the proportion of female with red/green color blindness.

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion of men with red/green color blindness. is higher than the proportionof women with red/green color blindness. , the system of hypothesis would be:  

Null hypothesis:p_{M} \leq p_{W}  

Alternative hypothesis:p_{M} > p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{66+8}{700+2850}=0.0208

Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>15.197) \approx 0  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

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3 years ago
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maksim [4K]

Answer:

A. Undefined will be your answer

Step-by-step explanation:

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ycow [4]

Answer:

55 marbles.

Step-by-step explanation:

You multiply 3 and 6 and that equals 18. You multiply the numbers together because you know he has 3 bags of marbles and he has 6 marbles in each bag. Then you take the 18 marbles and add them together with the 37 marbles and you get 55 marbles.

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Set each piece = to 56, assuming that the 2 variables for which you are not solving are each equal to 0.

7x -2(0)-14(0) = 56
7x=56 (divide each side by 7)
X = ?
(__, 0, 0)

7(0) - 2y - 14 (0) = 56
-2y = 56 (divide each side by -2)
Y= ?
(0, __ , 0)

7(0) - 2(0) - 14z = 56
-14z = 56 (divide each side by -14)
z = ?
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An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents
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Answer:

118-40=78

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