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Sidana [21]
3 years ago
12

Simplify and determine the coefficient of (-2/5)(-x)(5y)(-2x).

Mathematics
1 answer:
suter [353]3 years ago
7 0
When multiplying an odd number of factors,, then that means they will equal a negative. This rule will make this expression change to the following:
-\frac{2}{5}x × 5y × 2x
Now reduce the numbers with 5
-2xy × 2x
Lastly,, calculate the product to get your final answer
-4x²y
This means that your coefficient is -4 and the simplified version of your expression is -4x²y.
Let me know if you have any further questions
:)
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A researcher finds that of 1000 people who said that they attend a religious service at least once a week, A stopped to help a p
Ne4ueva [31]

Answer:

There is enough evidence to support the claim that the proportions are not equal. (P-value: 0.048).

Step-by-step explanation:

The question is incomplete:

<em>"A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are different."</em>

This is a hypothesis test for the difference between proportions.

The claim is that the proportions are not equal.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1, of size n1=1000 has a proportion of p1=0.031.

p_1=X_1/n_1=31/1000=0.031

The sample 2, of size n2=1200 has a proportion of p2=0.018.

p_2=X_2/n_2=22/1200=0.018

The difference between proportions is (p1-p2)=0.013.

p_d=p_1-p_2=0.031-0.018=0.013

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{31+22}{1000+1200}=\dfrac{53}{2200}=0.024

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.024*0.976}{1000}+\dfrac{0.024*0.976}{1200}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0}=0.007

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.013-0}{0.007}=\dfrac{0.013}{0.007}=1.98

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=2\cdot P(z>1.98)=0.048

As the P-value (0.048) 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 proportions are not equal.

6 0
3 years ago
Write the equation for the graph
melamori03 [73]

Answer:

i think its (4, -4) hope that helps u :0

Step-by-step explanation:

6 0
1 year ago
Read 2 more answers
PLEASE HELP ANSWER 4 AND 5.
kumpel [21]

4) The ratio of lemons to cups of sugar = 2/3 or 2:3

5) The ratio of cups of sugar to cups of water = 3/14 or 3:14

Hope that helps

8 0
2 years ago
Find value of X? Round answer to nearest tenth.
ohaa [14]

Answer: x = 4.6

Step-by-step explanation:

From the diagram opposite is 4

Adjacent is x

@ = 41 degrees.

Solve from SOH CAH TOA

From here the one that has opposite and adjacent is TOA which is;

[email protected] = opposite/ adjacent

[email protected] = 4/x

x = 4/[email protected]

x = 4/tan 41

x = 4/0.869

x = 4.6

6 0
3 years ago
Helpppp pleaseee!!! Thank you
Musya8 [376]
The answer is 480. Because you times 200 by 6, you also times the number of male elephants with tusks (80) by 6. That means the answer is 480.
6 0
2 years ago
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