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Effectus [21]
3 years ago
13

Which way do you move when a question is asking which pair is located 5 units from point F? Point F being (3,-2)

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

Ann direction

Step-by-step explanation:

Given

F = (3,-2)

Required

Move 5 points from F

Generally, the direction to move the point is always stated. Since none is stated in this question, you can move the point in the positive or negative direction of the x and y coordinates (in other words, any direction).

So, the possible locations are:

(3 + 5, -2) = (8, -2)

(3 - 5, -2) = (-3, -2)

(3, -2+ 5) = (3, 3)

(3, -2- 5) = (3, -7)

Each of the above points are 5 units away from F

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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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Bob has a recipe for salad dressing. The recipe says to mix 14 c lemon juice, 18 c mustard, and 14 c vinegar. How much lemon jui
Alex73 [517]

Answer:

He needs 56c  of lemon juice to make 4 salad dressings.

Step-by-step explanation:

We only need to look at how much lemon juice to make one salad dressing which would be 14c so we have to make 4 so we would do 14x4 to get how much lemon juice you need to make 4 dressings so you would need 56c of lemon juice to make 4 dressings

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In the figure, ΔABC ∼ ΔDEF. Solve for x. (5 points)
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6 : 24 x : 20 Cross multiply.
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What is the equation of the line that passes through the point (3,6) and has a slope of -1/3
Mnenie [13.5K]

\Large\texttt{Answer\::}

Please consult the "Calculations" section of this ans .

\Large\texttt{Calculations\::}

The information we're given is below :

  • slope : -1/3
  • Point crossed by the line : (3, 6)

As per given information , we can do the following :

  • Write the line's equation in point slope form

Point - slope form looks like so :

y-y₁=m(x-x₁)

y-6=-1/3(x-3)

y-6=-1/3x+1

y=-1/3x+1+7

y=-1/3x+6

↑ \small\textsc{EQUATION OF THE LINE}

\small\textit{hope\:helpful~}

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