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Andru [333]
2 years ago
7

Write the equation of the line that passes through the points (-2, -8) and (8,-8).

Mathematics
1 answer:
shepuryov [24]2 years ago
5 0

Answer:

slope is 0

y-(-8)=0(x-(-2))

y+8=0(x+2) no solution

Step-by-step explanation:

\frac{-8-(-8)}{8-(-2)} =0/10

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In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear pow
leva [86]

Answer:

The test statistic z = z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

There is  significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Step-by-step explanation:

Given data In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents

The first sample proportion  p₁ = \frac{63}{100} =0.63

The construction of  59 of 125 suburban residents are in favor

The second  sample proportion p_{2} = \frac{59}{125}  = 0.472

Given the sample sizes are n₁ = 100 and n₂ =125

<u>Null hypothesis(H₀):</u>-there is no significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

<u>Alternative hypothesis: H₁</u>

There is  significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

<u>Level of significance</u>:-

∝ =0.05

Tabulated value z=1.96

<u>Test statistic</u>

<u></u>z = \frac{p_{1}-p_{2}  }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }<u></u>

where p = \frac{n_{1}p_{1} +n_{2}p_{2}  }{n_{1} +n_{2} }         q = 1- p

Substitute all values in above equation

p = \frac{100X0.63+0.472X125}{100+125} = 0.542

q = 1-p = 1 - 0.542 = 0.458

The test statistic

z = \frac{0.63-0.472}{\sqrt{0.542X0.458}(\frac{1}{100}+\frac{1}{125}   )}

on simplification , we get

z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

<u>Conclusion</u>:-

There is  significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

8 0
3 years ago
If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? Round to the nearest hun
Katyanochek1 [597]

Answer:

A = 159.31 ft^2

Step-by-step explanation:

When two solids are similar then the ratio in their surface region is the square of the scale factor of similarity.

please mark me brainliest!

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3 years ago
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Ede4ka [16]

Answer:60

Step-by-step explanation:

Pythagorean's theorem gives us 100^2-80^2=b^2

Simplifying this we get:

10000-6400=b^2

3600=b^2

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7 0
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I’m assuming that -0.7 was multiplied with -1/2
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