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3 years ago

Pls answer my question

Mathematics

1 answer:

Dafna11 [192]3 years ago

5 0

Answer:

x = 23

Step-by-step explanation:

Exterior angles equals the sum of opposite interior angles.

2x+ 3 + 51 = 100

Combine like terms.

2x + 54 = 100 {Subtract 54 from both sides}

2x = 100 - 54

2x = 46 {Divide both sides by 2}

x = 46/2

x = 23

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3 years ago

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Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i

Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.50\\H_A: p < 0.50$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2$

Now, we calculate the critical value.

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.645$

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

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3 years ago

Pls answer my question​

Pls answer my question