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3 years ago

What is the product? 2x(x-4)

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

Answer:

2x(squared)-8x

Step-by-step explanation:

when you distribute the 2x to x you get 2x squared and when 2x is distributed to -4 you get -8x and together you get 2x squared minus 8. :)

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2 years ago

Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significa

nata0808 [166]

Answer:

The test statistics is $t = -1.40$

The critical value is $Z_{\alpha } = 2.33$

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Step-by-step explanation:

From the question we are told that

The sample size for men is $n_1 = 80$

The sample proportion of men that own a cat is $\r p _M = 0.40$

The sample size for women is $n_2 = 80$

The sample proportion of women that own a cat is $\r p_F = 0.51$

The level of significance is $\alpha = 0.10$

The null hypothesis is $H_o : \r p _M = \ r P_F$

The alternative hypothesis is $H_a : \r p _M < \r p_F$

Generally the test statistic is mathematically represented as

$t = \frac{(\r p_M - \r p_F)}{\sqrt{\frac{(p_M*(1-p_M)}{n_1 } } + \frac{p_F*(1-pF)}{n_2 } }$

=> $t = \frac{(0.40 - 0.51)}{\sqrt{\frac{(0.40 *(1-0.41)}{80} } + \frac{0.51*(1-0.51)}{80 } }$

=> $t = -1.40$

The critical value of $\alpha$ from the normal distribution table is

$Z_{\alpha } = 2.33$

The p-value is obtained from the z-table ,the value is

$p-value = P( Z < -1.40) = 0.080757$

=> $p-value = 0.080757$

Given that the $p-value < \alpha$ then we reject the null hypothesis

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3 years ago

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