Answer:
Step-by-step explanation:
Let a represent the charges made hourly by Mechanic 1 and b represent that of Mechanic 2;
a + b = 165, a = 165 - b
10a + 5b = 1200
substitute the value of a in the second equation;
10(165 - b) + 5b = 1200
1650 - 10b +5b = 1200
1650 - 5b = 1200
-5b = 1200 - 1650
-5b = -450
b = 450/5
b = $90/hr
If mechanic 2 charged $90/hr,
a + 90 = 165
a = 165 - 90
a = $75/hr being the hourly rate charged by mechanic 1.
Answer:
4
x
−
7 is the exact value
Step-by-step explanation:
Answer:
Hello Mate! Ans : Yes, number x = 9.688888...... is rational number.
Answer:
a) The mean is 
b) The standard deviation is 
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be 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.
The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.
This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when 
So




The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.
This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when 
So




Since we also have that 





Question
The mean is 
The standard deviation is 