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motikmotik
3 years ago
8

Can someone please help me with these three questions?!! The subject is Algebra 2.

Mathematics
1 answer:
Burka [1]3 years ago
8 0
On January 1,1980 a city had 100,000 people.during the year 1,000 people died,2,000 babies were born 3,000 people moved out ,and 10,000 moved in.how many people were in the city by the end of 1980?
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Does a statistics course improve a student's mathematics skills,as measured by a national test? Suppose a random sample of 13 st
viva [34]

Answer:

There is not enough evidence to support the claim that the scores after the stats course are significantly higher than the scores before (the difference in the scores is higher than 0).

P-value=0.042.

Step-by-step explanation:

The question is incomplete:

The data of the scores for each student is:

Before    After

430        465

485        475

520        535

360        410

440        425

500        505

425        450

470        480

515        520

430        430

450        460

495        500

540        530

We will generate a sample for the difference of scores (before - after) and test that sample.

The sample of the difference is [35 -10 15 50 -15 5 25 10 5 0 10 5 -10]

This sample, of size n=13, has a mean of 9.615 and a standard deviation of 18.423.

The claim is that the scores after the stats course are significantly higher than the scores before (the difference in the scores is higher than 0).

Then, the null and alternative hypothesis are:

H_0: \mu=0\\\\H_a:\mu> 0

The significance level is 0.01.

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

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{18.423}{\sqrt{13}}=5.11

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{9.615-0}{5.11}=\dfrac{9.615}{5.11}=1.882

The degrees of freedom for this sample size are:

df=n-1=13-1=12

This test is a right-tailed test, with 12 degrees of freedom and t=1.882, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>1.882)=0.042

As the P-value (0.042) is bigger than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the scores after the stats course are significantly higher than the scores before (the difference in the scores is higher than 0).

4 0
3 years ago
Rewrite 27+36 using GCF and distributive property
valkas [14]

Answer:

27+36=9 (3+7)

Step-by-step explanation:

27+36= 2(70+36)

8 0
3 years ago
What is (3a - 2b) (3a - 2b)?
zysi [14]

Answer:

9a^2-12ab+4b^2

6 0
3 years ago
Read 2 more answers
Karissa earns $200 per week plus $25 per item she sells. What is the equation that models the relationship between her pay per w
Digiron [165]
Let p = her pay per week.

<span>"Karissa earns $200 per week plus $25 per item she sells."

She earns a fixed amount of $200 per week no matter how much she sells.
Then she earns an additional variable amount that depends on the number of items she sells. It is $25 per item.

p = fixed amount + variable amount

The variable amount is:
If she sells 1 item, she earns 25 * 1
If she sells 2 items, she earns 25 * 2
If she sells 3 items, she earns 25 * 3
If she sells n items, she earns 25 * n
The variable amount she earns is 25n, where n is the number of items she sells.

</span>
<span>p = fixed amount + variable amount

p = 200 + 25n
</span>
4 0
3 years ago
What does equal 0.25-(-1.50)<br> SHOW YOUR WORK PLEASE
igomit [66]

Answer:

idk

Step-by-step explanation:

6 0
3 years ago
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