assuming mean=0 and sd = 1; you want to find the z-score that corresponds to the first 20% of the graph.
The z-score is found in my "z-table" by subtracting 20% from 50% to obtain the distance away from the mean value.
When I look at the z-table in the back of the book, I want to find a number in the middle of the table that is closest to ".3000" (50% - 20% = 30%)
The closest value I find in the field is: .2995. I follow this out to the left (.8) and up to the top (.04) to get the numbers for the z-score: left+top. z-score = .84
This has to be evaluated for its placement. If the z-score is to the left of the mean; we negate it; if its to the right of the mean, we keep it a positive value.
20% is less than 50% so its to the left of our mean: z-score = -.84
Answer:
5%
Step-by-step explanation:
2000/40000 = 0.05
All you do is divide both numbers and you'll get the decimal form which in this case is 0.05 which means 5%.
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Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as: 
Area of a rectangle is calculated as: 
Area of a right trapezoid is: 
, where:
a is short base
b is long base
h is height
1) Expressing areas in terms of x:
Area of triangle S1:
Area of rectangle S2:
Area of trapezoid S3:
2) a) 
Which is the same as S = (2x-3)(5x-9)
b) For the areas to be the same:
Using Bhaskara to solve the second degree equation:
= 1.8
= 1.5
For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.
c) <u>Expand</u> <u>a</u> <u>polynomial</u> (or equation) is to multiply all the terms, remiving the parenthesis. <u>Reduce</u> <u>a</u> <u>polynomial</u> (or equation) is to combine terms alike,e.g.:
(expand)
(reduce)
d) For area of AFCG to be bigger than area of ADEB by 27:
Solving:
2.82
= 0.48
According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82
Answer:
So, Louis earns 12 dollars per hour.
To find the rate for Carl, we need to divide the money earned from the hours.
Carl earns 15 dollars per hour.
(a) Carl earns 15 dollars per hour.
(b) Carl earns more than Louis, because 15 > 12.
(c) In Picture
