He raised $736.
One way is to multiply 640 x .15 = 96
Add 96 + 640 = 736
Since this is an absolute value equation, it will have two answers. For the first answer, take away the absolute value bars and solve 3x + 1 = 2. Subtract 1 from both sides to get 3x = 1 and divide each side by 3 to get x = 1/3. Now onto the second solution. This time, take away the absolute value bars and make the other side of the equation, the 2, negative, to get 3x + 1 = -2. Now solve this by subtracting 1 from each side to get 3x = -3 and divide each side to get the other answer which is x = -1. The answer is x = -1 or 1/3, hope this helps!
Answer:
182
Step-by-step explanation:
Quotient is division
Q/-13 = -14
Multiply each side by -13
Q/-13 * -13 = -14* -13
Q =182
The unknown number is 182
Answer:
The actual SAT-M score marking the 98th percentile is 735.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the actual SAT-M score marking the 98th percentile
This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So
Answer:
The numbers are 17 and 5
Step-by-step explanation:
x + y = 22
x - y = 12
Add y to both sides of the equation
x = 12 + y
Substitute new value for x into first equation
12 + y + y = 22
Add the y's
12 + 2y = 22
Subtract 12 from both sides
2y = 10
y = 5
22 - 5 = 17
The numbers are 17 and 5
Hope this helps :)
