Answer:12,376
Step-by-step explanation:
Given
Connie has 17 Pairs of jeans
She has to choose 6 pairs out of 17
We know, no of ways to pick r items out of n items is ![^nC_r](https://tex.z-dn.net/?f=%5EnC_r)
![\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Ctext%7BNo%20of%20ways%20is%20%3D%7D%5E%7B17%7DC_6%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B17%21%7D%7B%2817-6%29%216%21%7D%3D12%2C376%5C%20%5Ctext%7Bways%7D)
See the attached picture to better understand the problem
we know that
in the right triangle ABC
tan 9.2°=BC/AC-----> BC=AC*tan 9.2°----> BC=22*tan 9.2°---> BC=3.56 ft
<span>the height of the basketball hoop=BC+CD----> 3.56+5.6----> 9.16 ft
</span><span>the height of the basketball hoop=9.2 ft
the answer is</span><span>
the height of the basketball hoop is 9.2 ft</span>
Answer:
-1,16 -2/8 -4/4 and the negatives on the other side. I hope that helps
Step-by-step explanation:
The 90% confidence interval is given by mean - 1.645(s.d. / sqrt(n)) < μ < mean + 1.645(s.d. / sqrt(n))
mean - 1.645(s.d. / sqrt(n)) + mean + 1.645(s.d. / sqrt(n)) = 2<span>μ = 5.22 + 5.98 = 11.2
</span><span>μ = 11.2 / 2 = 5.6
Thus, </span><span>mean - 1.645(s.d. / sqrt(n)) = 5.6</span><span> - 1.645(s.d. / sqrt(n)) = 5.22
5.6 - 5.22 = </span><span>1.645(s.d. / sqrt(n)) = 0.38
</span><span><span>s.d. / sqrt(n) = 0.38 / 1.645 = 0.231
</span>The 95% confidence interval is given by </span>mean - 1.96(s.d. / sqrt(n)) < μ < mean + 1.96(s.d. / sqrt(n)) = 5.6 - 1.96(0.231) < <span>μ < 5.6 + 1.96(0.231) = 5.6 - 0.4528 < </span><span>μ < 5.6 + 0.4528 = 5.15 < </span><span>μ < 6.05
The 95% confidence interval provides more information because it has a larger interval.</span>
Answer:
C) (a-12b)(a+12b)
Step-by-step explanation:
a^2-144b^2 = (a-12b)(a+12b)
This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.
This can be explained by multiplying them.
(a-12b)
<u> *(a+12b) </u>
a²- 12ab
<u> +12ab - 144b² </u>
<u> a² +0 - 144b² </u>
We see we get the same answer as applying the formula above.