Answer:
Step-by-step explanation: X and Y represent the digits.
The tens digit is twice the units digit.
The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.
10x +y 10y +x are Original & Reversed numbers
X = 2y means the Tens digits is twice the units digit.
10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.
Substitute 2y for x to solve for y
10y +2y +2= 10(2y) + y -34
Distribute and combine like terms
12y + 2 = 20y +y - 34
34 +2 = 21y -12y
36 = 9y Divide both sides to find the value of y.
4 = y
X = 2(4) Substitute 4 for y to find x
X = 8
Original number: 84 Reversed number: 48
Substitute into equation model
48 +2= 84 -34
50 = 50
True!
Answer:
1. 4
2. 11
3. 18
4. 25
Step-by-step explanation:
Direction: Isolate the variable by dividing each side by factors that don't contain the variable.
Here are the answers for all 15 questions:
1) x < - 2
2) x < 4
3) x > - 15/7
4) y < 28/5
5) x > 6
6) y > - 10/9
7) 0 < 333
8) x > 2
9) x > - 10
10) y > - 3
11) y > - 4
12) x > 3
13) x < 9/8
14) x > - 2
15) h < 7/2
Answer:
$2
Step-by-step explanation:
4 - 2 = 2
Answer:
Step-by-step explanation:
The pediatrician said that the z-score for the boy's height, relative to other 2-year-olds in the country, was 1.59
He explains to the parents of the boy, that the extreme 5% of cases often require special attention.
(A) Does this child fall into that group?
Yes, this child falls into that group. He is among the extreme 5% of cases at the tail of the distribution.
(B) What do you need to assume about the heights of 2-year-olds, in order to find your answer to part (A)?
Assume that the distribution of heights is skewed, the heights are independent of one another, and the number of heights is very large.
