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kvasek [131]
2 years ago
10

What is the completely factored form of x^4y- 4xły - 5y?

Mathematics
1 answer:
tamaranim1 [39]2 years ago
3 0
If you mean by completely factored form of x^4y - 4x2y - 5y

Then the answer is y (x^2 - 5) (x^2 + 1)
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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
millicent earned $435 last year in interest. If $3000 was invested at a certain rate of return and $4500 was invested in a fund
tatiyna

Answer:

7% and 5%

Step-by-step explanation:

The computation of the two rates of interest is shown below;

The interest  rate for $3,000 be x%

And, for $4,500 the interest rate is (x -2%)

The total interest earned is

= x% of $4,500 + (x - 2)% of $4,500

So, the two rates of interest is

x% of $4,500 + (x - 2)% of $4,500 = $435

30x + 45(x - 2) = $435

30x + 45x - 90 = $43

75x = $25

x = 7%

x - 2 = 7 - 2

= 5%

8 0
3 years ago
Solve for x.<br> x + 5 &gt; 4
Delvig [45]

Answer:

x > -1

Step-by-step explanation:

Isolate the variable, x. Treat the > sign like an equal sign, what you do to one side, you do to the other.

Subtract 5 from both sides:

x + 5 (-5) > 4 (-5)

x > 4 - 5

x > -1

x > -1 is your answer.

~

8 0
3 years ago
Read 2 more answers
Write the equation in standard form. <br> 5−3(x−2y)=1−5x
Irina18 [472]

Answer:

2x+6y=-4

Step-by-step explanation:

5 0
3 years ago
What is equivalent to -3(x-9)
ivolga24 [154]
-3(x-9)=-3\cdot x-3\cdot(-9)=-3x+27
6 0
3 years ago
Read 2 more answers
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