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vfiekz [6]
2 years ago
13

A line intersects the points

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
7 0

Answer: m=1

Step-by-step explanation: m=(y2-y1)/(x2-x1)

In this case, y2 is 10 and y1 is 5.

x2 is 7 and x1 is 2.

m=(10-5)/(7-2)=5/5=1

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Solve for x if -15+1x=5+6x
Irina-Kira [14]

Answer:

<u>x=-4</u>

Step-by-step explanation:

-15+1x=5+6x

x-6x=5+15

-5x=20

x= -20/5

<u>x=-4</u>

4 0
2 years ago
A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?
alexandr1967 [171]

Answer:

it would be a triangle

Step-by-step explanation:

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3 years ago
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If the mass of a proton is 2.34 × 10–14 grams, what is the mass of 1,000 protons?
Alex17521 [72]
Masse of 1 proton: = 2.34 x 10⁻¹⁴

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8 0
3 years ago
What is 50% of the sum of the first 10 odd numbers
avanturin [10]

Answer:

50

Step-by-step explanation:

1+3+5+7+9+11+13+15+17+19= 100/2= 50

7 0
2 years ago
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.

8 0
3 years ago
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