0.0900-0.0088=0.0812
I did it by thinking of it as 900-88=812
Answer:
a. 2.28%
b. 30.85%
c. 628.16
d. 474.67
Step-by-step explanation:
For a given value x, the related z-score is computed as z = (x-500)/100.
a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)
b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)
c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552
d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653
6.50 * 22.5 = 146.25 dollars
Let us solve the inequality first
Dividing through by 2 gives
Grouping like terms gives
This implies that;
This corresponds to option A in words
If we rewrite as
it will correspond to option C in words
Representing on diagram corresponds to option D (See attachment)
All are correct ways to represent the solution except B.
The correct answer is option B
There are 14 toys in Zoey's basket.
Step-by-step explanation:
Given,
Balls in basket = 3
Stuffed animals = 2 times as balls in basket
Stuffed animals = 2*3 = 6
Bones = 1 fewer than stuffed animals.
Fewer means subtraction
Bones = 6-1 = 5
Total toys = Balls + stuffed animals + bones
Total toys= 3+6+5 = 14
There are 14 toys in Zoey's basket.
Keywords: addition, multiplication
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