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3 years ago

What is (-25) - 55 =

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

3 0

Answer:

-80

Step-by-step explanation:

-25+-55=-80

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Mallory makes $10 per hour babysitting and $8 per hour working at the local grocery store. Last week she babysat for 6 hours. He

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Mallory would have worked for 15 hours

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3 years ago

Read 2 more answers

Complete all 3 questions.

nalin [4]

Answer:

1.x^2-5x

2.2x^2+15x+18

3. x^2+20x+18

Step-by-step explanation:

1. x(x-5) x*x-5*x = x^2-5x

2. (x+6)(2x+3) x*2x+x*3+6*2x+6*3= 2x^2+15x+18

3.(2x^2+15x+18)-(x^2-5x)=x^2+20x+18

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2 years ago

Prove the following trigonometric identities

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2 years ago

Which angle is vertical to 3 in the given figure? You may assume that the lines are straight.

ycow [4]

Angle 5 is vertical to angle 3.

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2 years ago

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago