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3 years ago

9x + 27 = –72 what is x

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

5 0

9x + 27 = -72
   - 27 = - 27
9x  = - 99
9x/9 = -99/9
  x = -11

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A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that

Masja [62]

Answer:

a) P [X ≥ 30 ] = 0,8413 or 84,13%

b) P [X < 24] = 0,0228 or 2,28 %

c) P [ 24 < X < 48 ] = 0,9544 or 95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 - P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ ⇒ z = 30 - 36 / 6

z = - 1

From z table we get for -1

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 - P [X < 30 ] ⇒ P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] = 0,8413 or 84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24] = 0,0228 or 2,28 %

c) P [ 24 < X < 48 ] is P[X ≤ 48] - P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6 ⇒ z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ] = 0,9772 - 0,0228

P [ 24 < X < 48 ] = 0,9544 or 95,44%

3 0

3 years ago

Sorry for asking all these questions, this is just really confusing

Fittoniya [83]

Answer:

-31

Step-by-step explanation:

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3 years ago

Find the measures of the numbered angles for each parallelogram number 11

dybincka [34]

Angle 3 is 99 degrees.

Angle 2 is 61 degrees.

angle 1 is also 61 degrees.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to

Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

42% of freshmen do not visit their counselors regularly.

This means that $\pi = 0.42$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}$

$\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2$

$n = 1076.8$

Rounding up:

A sample of 1077 is required.

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3 years ago