Answer: 756
Step-by-step explanation:
Given : The proportion of adults over 50 never graduated from high school. = 0.23
Margin of error : E=0.03
Significance level : 
Critical value : 
The formula to find the sample size is given by:_
i.e. 
Hence, the required minimum sample size = 756
Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.
We can solve for x for the other 3 options by setting up this equation:
7x+2 + 4x+7 + 8x = 180 | Simplify
19x + 9 = 180 | Subtract 9
19x = 171 | Divide by 19
x=9
Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72
Looking at the options again, we can see that A, B, and D are true, leaving C to be false.
Answer:
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Step-by-step explanation:
The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.
The solution
To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.
The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.
6/2 = 3
10/2 = 5
4/2 = 2
1/2(10C6) - (5C3) + (5C3)
0.5(210-10+10)
= 110
Answer:210ml, 140 ml, 60%
Step-by-step explanation:
Given
Juli has 200 ml of 35% hand sanitizer
Sarah has 150 ml of 85% hand sanitizer
The mixture has 60% con. i.e. 60 % is Alcohol and 40 % water
The final volume of the mixture =200+150=350 ml
Now, 60% of 350 ml= 
So, pure Alcohol is 210 ml
Water in the final mixture= 
The concentration of Alcohol is 60%
