Answer: 2285
Step-by-step explanation:
Formula to find the sample size is given by :-

, where p = prior estimate of population proportion.
E= Margin of error.
= z-value for confidence interval of c.
Given : Confidence interval : 95%
From the z-value table , the z-value for 95% confidence interval = 
The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.
i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61
[∵ sample proportion is the best estimate for population proportion.]
Margin of error : E= 2%=0.02
Now, the required minimum sample size would be :-

Simplify ,

Thus , we need to survey <u>2285</u> Americans .
4 donuts because you can change the denominator to 6 and get 4/6 and thats how you get 4
Answer:
h(x)=x²+6 and g(x)=8x-5
prove that hg(x)=19
Step-by-step explanation:
step 1: hog(x)=h[g(x)]
step 2: h(8x-5)
step 3: h(8x-5)= (8x-5)²+6
step 4: (8x-5)(8x-5)+6
step 5: 16x² +15x +6
Sum of two opposite angles in a Cyclic Quadiratral is 180°



An inequality that represents Denise's goal in terms of the number of hours spent running 'h'

Given :
Denise wants to burn at least 5000 calories a week through running.
she can burn 550 calories per hour
Let 'h' be the number of hours spent
In 1 hour she can burn 550 calories
In 'h' hours she can burn 550h calories
Given that she want to burn atleast 5000 calories in a week
Burn atleast 5000 calories means <=5000 calories
So , the inequality that represents Denise's goal is
calories burn in h hours <= 5000 calories

Learn more : brainly.com/question/381815