Writing? any ways if 3 miles is 1/4 of the total path then there is 3/4 remaining and we know that 1/4 is 3 miles so how many times does one fit into the denominator(4) it fits 4 times so muptily 3 by4 and you have your answer(12)
Answer:
Step-by-step explanation:
<u>Equation:</u>
- cos 28 = 11/x
- x = 11/ cos 28
- x = 12.5 (rounded)
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
![n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\](https://tex.z-dn.net/?f=n_1%20%3D%2025%5C%5C%5C%5C%5Cbar%7Bx_1%7D%20%3D%2090.00%5C%5C%5C%5C%20s_1%20%3D%209%5C%5C%5C%5C)
For sample 2:
Calculating the null and alternative hypotheses:
Calculating the test statistic:
![Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B90-95.08%7D%7B%20%5Csqrt%7B%5Cfrac%7B9%5E2%7D%7B25%7D%2B%5Cfrac%7B12%5E2%7D%7B25%7D%7D%7D%20%5C%5C%5C%5C%20%3D%5Cfrac%7B-5.08%7D%7B%20%5Csqrt%7B%5Cfrac%7B81%7D%7B25%7D%2B%5Cfrac%7B144%7D%7B25%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5.08%7D%7B%20%5Csqrt%7B%5Cfrac%7B81%2B144%7D%7B25%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5.08%7D%7B%20%5Csqrt%7B%5Cfrac%7B225%7D%7B25%7D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5.08%7D%7B%20%5Cfrac%7B15%7D%7B5%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5.08%7D%7B3%7D%5C%5C%5C%5C%3D%20-1.693)
Calculating the conservative degrees of freedom:
by using Excel the p-value for left tailed test and for test statistic will be
with
.
![\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}](https://tex.z-dn.net/?f=%5Cto%20p-value%20%3D%20TDIST%281.693%2C%2024%2C%201%29%20%3D%200.0517%5C%20%5C%20%5C%20%5C%20%20i.e%2C%20%5Cbold%7B0.05%20%3C%20p-value%20%3C%200.10%7D)
Answer:
A
Step-by-step explanation:
It should be D: 35. 14 + 6 = 20. I just multiplied that by two, which equals 40. That means there are 2 sets of 14 and 2 sets of 6. Since there is 10 leftover, I divided both by 2. 7 + 3 = 10. 14 x 2 = 28 + 7 = 35