Let Casey's age be x
Brian's age will be -3 from 2 times x ( Casey's age ) so it will be 2x-3
Adam's age will be Casey's age (x) + 9 which is x+9
NOW the sum of all these ages is 46 so..
Casey's age + Brian's age + Adam's age = 46
x + 2x-3 + x+9 = 46
2x + x + x + 9 -3 = 46
4x + (9 - 3) = 46
4x - 6 = 46
now transfer the numbers on the left one by one to the other side( right )
4x = 46 - 6 ( always remember the sign of the number becomes the opposite when we transfer them to other side)
4x = 40
x = 40 / 4
x = 10
so x = Casey's age = 10
2x - 3 = Brian's age = 2 * 10 - 3
= 20 - 3 = 17
x + 9 = Adam's age = 10 + 9 = 19
6.842 or higher. When you line up the decimals, you see 6.842 has a 2 and 6.841 has a 1. 2 is greater than 1, more greater numbers are 6.843, 6.844, 6.845, etc.
Answer:
9m+54=84
Step-by-step explanation:
9m+57=87 then 9(m+6)=?
9m = 30
30+54=84
Answer:
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.
Step-by-step explanation:
The results were roughly normal, so we can find the normal confidence interval.
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 4.53 = $37.47.
The upper end of the interval is the sample mean added to M. So it is 42 + 4.53 = $46.53.
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.
Answer:
$0.43
Step-by-step explanation:
Rate of increase = [(CPI in 1990 / CPI in 1980)^1/t] - 1
(130.7 / 82.4)^1/10
1.586165^0.1 = 1.047213 - 1 = 4.72%
Price of dish soap in 1990 = value in 1980 ( 1 + rate of increase)^10
0.74( 1.047213)^10 = 1.174
Price increase 1.174 - 0.74 = 0.43
