1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Semmy [17]
3 years ago
9

Simplify:(y²+z²) -2yz​

Mathematics
1 answer:
VMariaS [17]3 years ago
5 0

Answer:

  (y-z)^{2}

Step-by-step explanation:

  (y^{2}+z^{2} ) -2yz\\\\y^{2} +z^{2} - 2yz\\\\y^{2} +2yz + z^{2}\\\\(y-z)^2\\

You might be interested in
H(x) = –x2 + 1; Find h(–6)
babunello [35]

Answer:

h(-6)= -(-6)2+1= 12+1= 13.

5 0
3 years ago
Given x(y + 2) = 3x + y, express y in terms of x.​
vodka [1.7K]

Answer:

y = \frac{x}{x-1}

Step-by-step explanation:

Given

x(y + 2) = 3x + y ← distribute parenthesis on left side

xy + 2x = 3x + y ( subtract 2x from both sides )

xy = x + y ( subtract y from both sides )

xy - y = x ← factor out y from each term on the left side )

y(x - 1) = x ← divide both sides by (x - 1)

y = \frac{x}{x-1}

6 0
3 years ago
A population is known to be normally distributed with a standard deviation of 2.8. (a) Compute the 95% confidence interval on th
Ugo [173]

Answer:

Step-by-step explanation:

Mean = sum of terms/number of terms

The mean of the given sample is

(8 + 9 + 10 + 13 + 14 + 16 + 17 + 20 + 21)/9 = 14.2

a)

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 1.96 × 2.8/√9

= 14.2 ± 1.96 × 0.933

= 14.2 ± 1.83

The lower end of the confidence interval is 12.37

The upper end of the confidence interval is 16.03

b)

For a confidence level of 99%, the corresponding z value is 2.58

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 2.58 × 2.8/√9

= 14.2 ± 2.58 × 0.933

= 14.2 ± 2.4

The lower end of the confidence interval is 11.8

The upper end of the confidence interval is 16.6

3 0
2 years ago
Dividing a power of 4 by 4 is equivalent to (dividing, increasing, reducing, multiplying) the exponent by (10, 2, 1, 4).
Lina20 [59]

Answer:

Dividing a power of 4 by 4 is equivalent to ( reducing,) the exponent by (1).

Step-by-step explanation:

Let the power of 4 be 3

4 *4*4

We divide by 4

4*4*4/4 = 4*4 = 4^2

So we removed 1 power

Notice that 3-1 =2

Let 4 be raised to any power

4^a

We divide by 4

4^a/4  we remove 1 of the powers

we are left with

4^(a-1)

So we reduce the exponent by 1

4 0
3 years ago
Read 2 more answers
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl
ankoles [38]

Answer:

1.

The null hypothesis is H_0: \mu = 4

The alternate hypothesis is H_1: \mu > 4

2.

The p-value of the test is of 0.0045.

3.

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

Step-by-step explanation:

A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).

At the null hypothesis, we test that the mean is 4, so:

H_0: \mu = 4

At the alternate hypothesis, we test that the mean is more than 4, that is:

H_1: \mu > 4

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that \mu = 4

In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.

This means that n = 8, X = 6.4, s = 1.9

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{6.4 - 4}{\frac{1.9}{\sqrt{8}}}

t = 3.57

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.

With the help of a calculator, the p-value of the test is of 0.0045.

3. Should the pump be put into service?

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

6 0
3 years ago
Other questions:
  • Solve for x. 5x=15+5
    7·2 answers
  • A rainstorm produced a rainfall of 2 inches per hour how many hours would it take to get a rainfall amount of 1 foot
    6·2 answers
  • What is the product? (5r + 2)(3r − 4)
    8·1 answer
  • Construct a​ 99% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A group of 1
    9·1 answer
  • Marissa rode her bike to the park and back home. She lives 2 and 3/10 miles from the park. How many miles did Marissa ride her b
    9·1 answer
  • Solve 3(3×2) in a rectangular array ​
    9·2 answers
  • 665.8 rounded to the nearest tenth of a cubic meter
    15·1 answer
  • Use the order of operations to evaluate the expression below.<br> 5 + 7 • 2 - 90 / 3 + 8 - 1
    11·1 answer
  • M = 3 and the point is (6, 18). Put this into slope-int form
    13·1 answer
  • Hi please help no Bots
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!