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IrinaK [193]
3 years ago
9

Which method could be used to factor x2 - 25?

Mathematics
2 answers:
butalik [34]3 years ago
8 0

Answer:

C

Step-by-step explanation:

a² - b² = (a + b)(a - b)

x² - 25 = x² - 5² = (x + 5) (x - 5)

Mandarinka [93]3 years ago
6 0

Answer:

A. Perfect square Trinomial

Step-by-step explanation:

Just did its

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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
What does 3+3 (a) simplify to when a=5
pav-90 [236]

3 + 3 \times 5 = 18
4 0
3 years ago
Read 2 more answers
Each side of a square is 6 2/3 m long. Find its Area
svlad2 [7]

Answer: 80/3

Step-by-step explanation:

8 0
3 years ago
How do you do ths increase 60% by 15%
shepuryov [24]
\pounds60+15\%\cdot \pounds60=\pounds60+0.15\cdot \pounds60=\pounds60+ \pounds9= \pounds69
3 0
3 years ago
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Kelly pays $25/sweater wholesale.find the salling price if her mark-up is 65%?
gladu [14]
This is another way of saying what is 165% of 25, because 65% of the sweater is the markup, and you add the markup to the whole sale.
165% is 1.65 in decimal form, so1.65*25=41.25
41.25 is your answer
3 0
3 years ago
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