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Whitepunk [10]
3 years ago
14

Alexander is riding his bicycle to school. After one mile, he is a third of the way there. How much farther does he have to ride

?
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0
Alexander has to miles to go because if one mile is a third you can simply maltiply by three, then subtract the mile he already went. you maltiply by three because it was a third of the way there
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Test the null hypothesis Upper H 0 : (mu 1 minus mu 2 )equals 0H0: μ1−μ2=0 versus the alternative hypothesis Upper H Subscript a
Law Incorporation [45]

Answer:

The test statistic t is t=2.9037.

The null hypothesis is rejected.

For a significance level of 0.05, there is enough evidence to support the alternative hypothesis.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The sample 1, of size n1=25 has a mean of 1.15 and a standard deviation of 0.31. </em>

<em>The sample 2, of size n2=25 has a mean of 0.95 and a standard deviation of 0.15. </em>

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

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 α=0.05.

The difference between sample means is Md=0.2.

M_d=M_1-M_2=1.15-0.95=0.2

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

s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{0.31^2+0.15^2}{25}}\\\\\\s_{M_d}=\sqrt{\dfrac{0.119}{25}}=\sqrt{0.005}=0.069

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.2-0}{0.069}=\dfrac{0.2}{0.069}=2.9037

The degrees of freedom for this test are:

df=n_1+n_2-1=25+25-2=48

This test is a two-tailed test, with 48 degrees of freedom and t=2.9037, so the P-value for this test is calculated as (using a t-table):

P-value=2\cdot P(t>2.9037)=0.0056

As the P-value (0.0056) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

8 0
3 years ago
Simplify the expression. 1.4 – 5.5 – 1.73 + 1.8 – 1.09
Lana71 [14]
The answer would be 1.4
4 0
3 years ago
Someone plz help but instead of sending a link because I can’t open then can you please just tell me, thanks!
Neporo4naja [7]

Answer:

Options A and C and F are correct.

Step-by-step explanation:

5(2+4)

5*2+5*4

5*6

Have a great day! :)

and can I please have brainliest?

Thanks!

5 0
2 years ago
Read 2 more answers
Write one pair of brackets in this calculation so that the answer is correct. 5 + 2 × 7 – 4 = 11
BartSMP [9]

Answer:

5+2*(7-4) =11

Step-by-step explanation:

This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);

(5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)

The answer to the first expression would be 45, which is not equal to 11.

The answer to the second expression would be 15, which is also not equal to 11.

The answer to the last expression is 11, so that is the correct answer.

Hope this helped :D

- Shay

5 0
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A turtle crawled at a speed of 1.2 meters per minute for 9 minutes. How far did the turtle crawl? 7.5 meters 7.8 meters 10.2 met
Dennis_Churaev [7]

Answer:

10.8 meters

Step-by-step explanation:

3 0
3 years ago
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