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Scilla [17]
3 years ago
6

Evaluate: 2x-5y for x=-7 and y=-2

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
4 0

Answer: Hello There!..........

x=4

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+2=14

Hope this helps! (Elena)♥

erastova [34]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

1. Substitute the x values and y values

2(-7) -5(-2)

-14 +10

-4

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Answer:

We conclude that there has been a decrease in the percentage of females in the company from last year.

Step-by-step explanation:

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

This year, in a random sample of 400 employees, 180 were female.

<u><em /></u>

<u><em>Let p = percentage of females in the company this year.</em></u>

So, Null Hypothesis, H_0 : p \geq 50%   {means that there has not been a decrease in the percentage of females in the company from last year}

Alternate Hypothesis, H_A : p < 50%   {means that there has been a decrease in the percentage of females in the company from last year}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                   T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = proportion of female in a sample of 400 employees = \frac{180}{400} = 0.45

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So, <u><em>test statistics</em></u>  =  \frac{0.45-0.50}{{\sqrt{\frac{0.45(1-0.45)}{400} } } } }

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The value of the test statistics is -2.0101.

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is less than the critical value of z as -2.0101 < -1.6449, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that there has been a decrease in the percentage of females in the company from last year.

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