Answer:
The required amount of mice is 11.82 gram.
Step-by-step explanation:
Given : Assuming that it is known from previous studies that σ = 4.5 grams. If we wish to be 95% confident that the mean weight of the sample will be within 3 grams of the population mean for all mice subjected to this protein diet.
To find : How many mice should be included in our sample?
Solution :
The formula used in the situation is

Where, z value at 95% confidence interval is z=1.96
gram is the mean of the population
gram is the standard deviation of the sample
Substituting the value, to find x sample mean





Therefore, The required amount of mice is 11.82 gram.
Answer:
perimeter = 6w
area = 2w^2
Step-by-step explanation:
we can use the variable w for width, and 2w for length perimeter would be width + width + length + length, or 6w
area is width x length or 2w^2
Answer:
I believe it would be D
Step-by-step explanation:
Since it implies that if A is true, then B is true, it would be D.
"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.
Hence my choice of D.
<h2>Answer:</h2>
This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,
1.
Reason: Given
Statement: 
2.
Reason: Def of vertical 
Statement: 
3.
Reason: Def of vertical 
Statement:
4.
Reason: Transitive Property
Statement: 
5.
Reason: corresponding Angles Converse Postulate
Statement: 
McGill picked 9 and andi picked 4 so 9-4=5
andi picked 5 apples less than mcgill