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lianna [129]
3 years ago
15

Simplify 12n-2n⁴-10n-2n⁴+na. 4n⁴+3nb. 3nc. -4n⁴+3nd. -n¹¹

Mathematics
2 answers:
levacccp [35]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Serjik [45]3 years ago
3 0

The answer is C. -4n⁴+3n.


Separate the expression by its like terms.

12n-2n⁴-10n-2n⁴+n

12n+(-10n)+n=3n

-2n⁴+-2n⁴=-4n⁴


The simplified expression comes out to -4n⁴+3n.

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A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26.
oee [108]

Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

H_0: \mu=2.4\\\\H_a:\mu> 2.4

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58

The degrees of freedom for this sample size are:

df=n-1=45-1=44

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>2.5801)=0.0066

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

7 0
3 years ago
In the figure, a∥e , m∥n , and m∠2 = 112°.
MatroZZZ [7]

Answer

Find out the  m∠6  .

To prove

As given

a∥e , m∥n , and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m is transversal .

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Therefore

∠6 = 112°

3 0
3 years ago
Read 2 more answers
3x+5y=27.50 &amp; 6x+3y=27<br><br>I love you ​
zvonat [6]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Which of the following could be the areas of the three squares shown?
matrenka [14]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Solve for x.<br>9(x + 1) = 25 + x<br>x=2<br>x = 3<br>x = 5​
serious [3.7K]

Answer:

x=2

Step-by-step explanation:

Distribute the 9

9x+9=25+x

Move x to one side. I prefer to keep the x term positive, so I would move the term on the right to the left in this situation.

8x+9=25

Isolate the x term

8x=16

Isolate the variable

x=2

4 0
3 years ago
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