Hello,
Perpendicular sloop m is : 4*m=-1==>m=-1/4
Equation 's line is y-3=-1/4(x-8) or y=-x/4+5
Answer:
$100
Step-by-step explanation:
12x5=60
+40= $100
Answer: a. 170 b. 752
Step-by-step explanation:
The formula to find the sample size is given by :-
![n= p(1-p)(\dfrac{z_{\alpha/2}}{E})^2](https://tex.z-dn.net/?f=n%3D%20p%281-p%29%28%5Cdfrac%7Bz_%7B%5Calpha%2F2%7D%7D%7BE%7D%29%5E2)
, where p is the prior estimate of population proportion.
= Two-tailed z-value for
(significance level).
E= Margin of error .
Given : Margin of error = 0.03
Confidence level = 90%=0.90
By z-value table : ![z_{\alpha/2}=z_{0.05}=1.645](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3Dz_%7B0.05%7D%3D1.645)
a) The president's political advisors estimated the proportion supporting the current policy to be : p= 0.06.
Required sample size :
![n= 0.06(1-0.06)(\dfrac{1.645}{0.03})^2](https://tex.z-dn.net/?f=n%3D%200.06%281-0.06%29%28%5Cdfrac%7B1.645%7D%7B0.03%7D%29%5E2)
![n=0.0564(3006.6944)](https://tex.z-dn.net/?f=n%3D0.0564%283006.6944%29)
![n=169.57756416\approx170](https://tex.z-dn.net/?f=n%3D169.57756416%5Capprox170)
∴ Required sample size = 170
b) If no prior estimate of population proportion is given , then we assume
p= 0.5
Required sample size :
![n= 0.5(1-0.5)(\dfrac{1.645}{0.03})^2](https://tex.z-dn.net/?f=n%3D%200.5%281-0.5%29%28%5Cdfrac%7B1.645%7D%7B0.03%7D%29%5E2)
![n=0.25(3006.6944)](https://tex.z-dn.net/?f=n%3D0.25%283006.6944%29)
![n=751.6736\approx752](https://tex.z-dn.net/?f=n%3D751.6736%5Capprox752)
∴ Required sample size = 752
Answer:
3/2 cups of flour
1/4 cups of butter
Step-by-step explanation:
Cups of flour = 6
Cups of sugar = 2
Cup of butter = 1
Marcos only has ½ cup of sugar, so he's going to make a smaller cake.
Cups of sugar for big cake = 2
Cups of sugar for small cake = 1/2
Ratio of cups of sugar for big cake to small cake is
= 2 : 1/2
= 2 ÷ 1/2
= 2 × 2/1
= 4
This means to make smaller cake, all recipes should be divided by 4
Flour for small cake = flour for big cake / 4
= 6 / 4
= 3/2 cups of flour
= 1.33
Butter for small cake = Butter for big cake / 4
= 1 / 4 cups of butter
= 0.25
The answer is the last one. After you multiply the following 2 number sets you get 414. so multiply 9 by the given answers and whichever equals 414 that is you answer. (its d btw)