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Lady bird [3.3K]
3 years ago
10

4.2x-1.4y=2.1 Solve for y

Mathematics
1 answer:
givi [52]3 years ago
7 0

Answer: y = -1.5+3x

Step-by-step explanation:

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The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years
inn [45]

Answer:

b. The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

c. Student's t distribution, as it is a two-sample test for the difference between means.

d. Test statistic t = 5.42.

P-value = 0

e. They appear to be significantly different, as the sample data gives strong evidence that the difference is greater than 0.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean life spans in the county is significantly different for whites and nonwhites.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0

The significance level is 0.05.

The sample 1 (white), of size n1=124 has a mean of 45.3 and a standard deviation of 12.7.

The sample 2 (non-white), of size n2=82 has a mean of 34.1 and a standard deviation of 15.6.

The difference between sample means is Md=11.2.

M_d=M_1-M_2=45.3-34.1=11.2

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

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12.7^2}{124}+\dfrac{15.6^2}{82}}\\\\\\s_{M_d}=\sqrt{1.301+2.968}=\sqrt{4.269}=2.066

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{11.2-0}{2.066}=\dfrac{11.2}{2.066}=5.42

The degrees of freedom for this test are:

df=n_1+n_2-2=124+82-2=204

This test is a two-tailed test, with 204 degrees of freedom and t=5.42, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=2\cdot P(t>5.42)=0.0000002

As the P-value (0.0000002) 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 mean life spans in the county is significantly different for whites and nonwhites.

4 0
3 years ago
On Saturday, Nicole earns no more than $55 at her job. On Sunday, she earns at least $40. Which of these inequalities represent
makkiz [27]

Answer:

B

Step-by-step explanation:

use your head

7 0
3 years ago
Read 2 more answers
The answer is 915 / 7
Naily [24]

Answer:

If you want 915/7 simplified, it is 130.714285714.

Step-by-step explanation:

5 0
3 years ago
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1. Find each measure.<br> a)<br> m20<br> 8<br> R<br> Select<br> 110"<br> S<br> 8<br> T<br> c)
Zepler [3.9K]

Answer:

pls write question correctly so I can answer it

7 0
2 years ago
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Yancey collects plastic banks .He has three different banks: a pig, a cow, and a horse. How many ways can Yancey arrange his ban
Stells [14]


let h = horse, let c = cow, let p = pig

so,

hcp

hpc

cph

chp

phc

pch

so, that is 6 different ways she can arrange it.  

4 0
3 years ago
Read 2 more answers
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