Answer: C. 461
Step-by-step explanation:
We know that the formula to find the sample size is given by :-

, where
= Population standard deviation from prior study.
E = margin of error.
z* = Critical value.
As per given , we have
E= 15
Significance level : 
Critical value (Two tailed)=
Now , Required sample size = 
[Round to next integer]
Hence, the required sample size to be taken is 461.
Correct answer = C. 461
Answer:
The ratio of Tan B is

OR

Step-by-step explanation:
In Right Angle Triangle ABC
angle C = 90°
AB = Ramp = 17 feet
BC =Horizontal distance = 15 feet
AC = Height from floor = 8 feet
To Find:
Ratio of Tan B = ?
Solution:
In Right Angle Triangle ABC By Tangent Identity we have

Substituting the given values we get

OR

For this case we have the following function:
y = 1.8 ^ x
The intersection with the y axis occurs when x = 0.
We have then:
y = 1.8 ^ 0
y = 1
In this case, the intersection with the y-axis represents the original size of the poster.
Answer:
the y-intercept of the graph represents:
the original size of the poster.
The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars
<em><u>Solution:</u></em>
Given that, Mike earned x dollars the first week of his new job
He earned 5% more the second week than the first week
To find: Total amount earned in both weeks
From given,
Amount earned in first week = "x" dollars
Amount earned in second week = 5 % more than first week
Therefore,
Amount earned in second week = x + 5 % of x

Thus amount earned in second week = 1.05x dollars
<em><u>The total amount earned in both weeks:</u></em>
Total amount = Amount earned in first week + Amount earned in second week

Thus the expression represents the total amount of money Mike earned for both weeks is 2.05x dollars
Answer: A
Hope this is helpful.
Step-by-step explanation:
Try to solve using simultaneous equations with each answer given.
x + 2y = 5
x = 5 - 2y
Plug this into each equation
A 2(5 - 2y) + 4y = 3
10 - 4y + 4y = 3
10 = 3 in consistent
B 5(5 - 2y) + 2y = 3
25 - 10 y + 2y = 3
25 - 8y = 3
8y = 22
y = 2.75
Using original equation solve for x
5x + 2(2.75) = 3
5x + 5.5 = 3
5x = -2.5
x = -0.5
Using original equation,
(-0.5) + 2 (2.75) = 5
-0.5 + 5.5 = 5 consistent
C 6x + 12y = 30
6(5 - 2y) + 12y = 30
30 - 12y + 12 y = 30 consistent for every value of y
D 3(5 - 2y) + 4y = 8
15 - 6y + 4y = 8
- 2y = -7
y = 3.5
x = 5 - 2y
x = 5 - 7
x = -2
Solving for x
3(-2) + 4(3.5) = -6 + 14 = 8 consistent
So A is the correct answer