A)

B)

We first find the z-score associated with the level of confidence. For 95% confidence:
Convert 95% to a decimal: 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2 (this is the area in the tails): 0.05/2 = 0.025
Subtract from 1 (we don't want the tails, we want the area in the middle): 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we find the z-score for this is 1.96. We now use the formula

For a 98% confidence level:
Convert 98% to a decimal: 0.98
Subtract from 1: 1 - 0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1 - 0.01 = 0.99
Using the z-table we see the closest number to this is for the z-score 2.33:
Answer:
19/5
Step-by-step explanation:
5x+1=20
5x=20-1
5x=19
x=19/5
Answer:
x = 8
Step-by-step explanation:
The measure of an arc is equal to the angle at the centre subtended by the arc.
The sum of the 3 arcs = 180° , then
5x + 6 + 83 + 51 = 180
5x + 140 = 180 ( subtract 140 from both sides )
5x = 40 ( divide both sides by 5 )
x = 8
Answer:
Addition POE
Step-by-step explanation:
I believe it is the addition POE because
12x-4=44
To get 4 (the constant) to the right you have to do the inverse of subtraction which is addition. By doing so You would add 4 to both side, canceling it out on the left side and adding the 4 to the right side (44).
12x-4=44
<u> +4 +4</u>
12x=48
12/12=48/12
x=4
Answer:
is the answer.
In decimal y = 43.71
Step-by-step explanation:
Given:
y varies directly with x .
Also x = 7 when y = 18
To Find:
y = ? when x = 17
Solution:
y varies directly with x .
i.e. y is directly proportional to x
∴ 
Where
k = constant of proportionality {Remain Same}
First we will find constant of proportionality k,
∴ When x = 7 and y = 18 we have
∴ 
Now when x= 17 and
we have
∴ 
∴ 