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3 years ago

A number is less than 30 but greater than 10.

Mathematics

1 answer:

GenaCL600 [577]3 years ago

7 0

The answer is 16 and 26. Both are less than 30 and greater than 10 and have 6 in the one’s place.

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A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample

8090 [49]

Answer:

Step-by-step explanation:

Step(i):-

Given first random sample size n₁ = 500

Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.

First sample proportion

$p^{-} _{1} = \frac{65}{500} = 0.13$

Given second sample size n₂ = 700

Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.

second sample proportion

$p^{-} _{2} = \frac{133}{700} = 0.19$

Level of significance = α = 0.05

critical value = 1.96

Step(ii):-

Null hypothesis : H₀: There is no significance difference between these proportions

Alternative Hypothesis :H₁: There is significance difference between these proportions

Test statistic

$Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

where

$P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165$

Q = 1 - P = 1 - 0.165 = 0.835

$Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }$

Z = -2.76

|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance

Null hypothesis is rejected at 0.05 level of significance

Alternative hypothesis is accepted at 0.05 level of significance

Conclusion:-

There is there is a difference between these proportions at α = 0.05

3 0

3 years ago

Do you add them both together or multiply or do u put an equal sign between them?

Snowcat [4.5K]

$\frac{-x+7}{2x+4}+\frac{2x+5}{2x+4} =\frac{-x+7+2x+5}{2x+4}=\frac{ x+12}{2x+4}$

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3 years ago

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Solve the fallowing equation algebraically. Show your work 6=x+2 ------ 3

Yanka [14]

6 = x + 2
Subtract 2 from both sides
6 - 2 = x + 2 - 2
4 = x

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3 years ago

9x - 3(x + 2) + 7 Simplify

Ronch [10]

9x - 3(x + 2) + 7

Multiply the bracket by -3

(-3)(x)=-3x

(-3)(2)=-6

9x-3x-6+7

Answer: 6x+1

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3 years ago

Divide 3520 in the ratio 11:12:17

Alenkasestr [34]

Answer:

(11+12+17)x = 40x.

Step-by-step explanation:

Rs 3520 is divided in the Ratio 11:12:17 as Rs 968, Rs 1056, Rs 1496. According to the question, we have to divide Rs 3520 in the ratio 11:12:17. Let the common ratio be x. So, total share = (11+12+17)x = 40x.

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3 years ago

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