Answer mon
Step-by-step explanation:
Answer:
Percent increase is 21%
Step-by-step explanation:
Initial cost of shoes = $72
New price of shoes = $87
Increase in price of shoes = New price of shoes - Initial cost of shoes
= 
= $15
Percentage increase in price of shoes = ( Increase in price of shoes ÷ Initial cost of shoes) × 100
=
≈ 21%
So, percent increase is 21%
Answer:
- v = 8
- x = -12
Step-by-step explanation:
1. I like to work with positive numbers, so the first thing I'd do is multiply the equation by -1.
2v + 7 = 23
2v = 16 . . . . . subtract 7
v = 8 . . . . . . . divide by 2
<em>Check</em>
-2(8) -7 = -23 . . . . true
___
2. (x/4) -5 = -8
x/4 = -3 . . . . . . . add 5
x = -12 . . . . . . . . multiply by 4
<em>Check</em>
(-12/4) -5 = -8 . . . . true
Answer:
55.563
Step-by-step explanation:
Given the following :
Mean(m) point = 73
Standard deviation( sd) = 10.6
Lower 5% will not get a passing grade (those below the 5% percentile)
For a normal distribution:
The z-score is given by:
z = (X - mean) / standard deviation
5% of the class = 5/100 = 0.05
From the z - table : 0.05 falls into - 1.645 which is equal to the z - score
Substituting this value into the z-score formula to obtain the score(x) which seperates the lower 5%(0.05) from the rest of the class
z = (x - m) / sd
-1.645 = (x - 73) / 10.6
-1 645 * 10.6 = x - 73
-17.437 = x - 73
-17.437 + 73 = x
55.563 = x
Therefore, the score which seperetes the lower 5% from the rest of the class is 55.563
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