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Debora [2.8K]
2 years ago
13

1-4

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
3 0

Answer:

282 Hours after 6 weeks

Step-by-step explanation:

Multiply the 6 weeks and the 48 hour a week adverage and theres your answer!

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If two angles are vertical and one of the angles is 2x+10 and the other is 70 degrees.find the value of x
weqwewe [10]

Answer:

  x = 30

Step-by-step explanation:

Vertical angles have equal measures, so ...

  2x +10 = 70

  2x = 60 . . . . . . subtract 10

  x = 30 . . . . . . . divide by 2

7 0
3 years ago
Read 2 more answers
Factored form 6x2 - 8x + 2.
Dmitry [639]
The factored form would be

2(x + 1)(3x + 1)

8 0
3 years ago
Which would be the farthest from 0<br> 20, -21, -20.5, or 21.5
8_murik_8 [283]
21.5 is because it’s counting the same from 0 and 21.5 is the highest number
6 0
2 years ago
Read 2 more answers
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees ba
blsea [12.9K]

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

H_0: \mu_1 - \mu_2 = 0

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

H_1: \mu_1 - \mu_2 \neq 0

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

From the two samples:

X = \mu_1 - \mu_2 = 1276 - 1439 = -163

s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{-163 - 0}{77.3144}

z = -2.11

The test statistic is z = -2.11.

7 0
3 years ago
Write the name of the period that has the digits 913
salantis [7]
Nine hundred thirteenths if this is a decimal
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3 years ago
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