Answer:
36 & 54
Step-by-step explanation:
<em><u>By </u></em><em><u>Question</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
- Sum of numbers = 90 .
- Difference of numbers = 18 .
<em><u>Let </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
- First Number be x .
- Second number be y .
<em><u>According</u></em><em><u> to</u></em><em><u> </u></em><em><u>1</u></em><em><u>s</u></em><em><u>t</u></em><em><u> </u></em><em><u>condition</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
x + y = 90
<u>According</u><u> to</u><u> </u><u>2</u><u>n</u><u>d</u><u> </u><u>condition</u><u> </u><u>:</u><u>-</u><u> </u>
x - y = 18
<em><u>Adding</u></em><em><u> the</u></em><em><u> </u></em><em><u>equations</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
2x = 18 + 90
2x = 108
x = 54
<em><u>Therefore</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>
First number = 54
Second number = 36
Answer: ![=(0.2232,0.2768)](https://tex.z-dn.net/?f=%3D%280.2232%2C0.2768%29)
Step-by-step explanation:
The confidence interval for population proportion is given by :-
![p\ \pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}](https://tex.z-dn.net/?f=p%5C%20%5Cpm%20z_%7B%5Calpha%2F2%7D%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
Given : Sample size : ![n=1000](https://tex.z-dn.net/?f=n%3D1000)
The proportion of people selected consumers who had opportunities to send in a rebate claim form after purchasing a product said they never did so =![\dfrac{250}{1000}=0.25](https://tex.z-dn.net/?f=%5Cdfrac%7B250%7D%7B1000%7D%3D0.25)
Significance level : ![1-0.95=0.05](https://tex.z-dn.net/?f=1-0.95%3D0.05)
Critical value : ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
Now, the 95% confidence Interval for the true proportion of such consumers who never apply for a rebate will be :-
![0.25\ \pm (1.96)\sqrt{\dfrac{0.25(1-0.25)}{1000}}\\\\\approx0.25\pm0.0268\\\\=(0.2232,\ 0.2768)](https://tex.z-dn.net/?f=0.25%5C%20%5Cpm%20%281.96%29%5Csqrt%7B%5Cdfrac%7B0.25%281-0.25%29%7D%7B1000%7D%7D%5C%5C%5C%5C%5Capprox0.25%5Cpm0.0268%5C%5C%5C%5C%3D%280.2232%2C%5C%200.2768%29)
Hence, a confidence Interval for the true proportion of such consumers who never apply for a rebate .
Then it would be 9/10 don't you know anything times 1 is its self even fractions
In order to answer that question, we need to know the scale of the map.
Without that information, no answer is possible.
I think you have it in the first part of the question ... the part you decided
not to post.
_________________________
OK. Now that you've provided the scale of the map,
answering the question is a piece-o-cake.
Use a proportion:
(1 inch on the map) / (4 miles on the ground) = ('x' on the map) / (17 miles on the ground)
1 pound = 16 ounces
6 ounces each pie
36 mini pies to make
36 × 6 = 216 ounces needed to make 36 mini pies
216 ÷ 16 = 13.5 pounds
if each can of pumpkin is 2 pounds,
13.5 ÷ 2 = 6.75 so that would be 7 cans of pumpkin