Answer: (7,5) X=7 and Y=5
Explanation:
Add the two equations together to eliminate y from the system.
x-y=2 + x+y=12
= 2x = 14
Divide both sides by 2
x=7
Substitute the value found for x into one of the original equations to solve for y
(7)-y=2
Move all terms to one side to make it easier
-y=2-7
Subtract
y=5
Answer:
0.5 Inches per hour
Step-by-step explanation:
Most normal people won't know exactly what unit rate is, or how to calculate it. So I'm here to help!
This is a fraction equal to
6 inches ÷ 12 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 12
6 inches ÷ 12
12 hours ÷ 12
=
0.5 inches
1 hour
=
0.5 inches
hour
= 0.5 inches per hour
Glad I was able to help!
Answer:
see below
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
C = 2* pi *3
C = 6 pi
The value depends on whether you use 3.14 for pi or the pi button
3.14 = 18.84
pi button 18.85
Answer:
The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 80 seconds and a standard deviation of 6 seconds.
This means that 
What travel time separates the top 2.5% of the travel times from the rest?
This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.




The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.
Answer: 
Step-by-step explanation:
In order to round to the nearest thousandth, you must observe the digit to the right of the digit in the thousandth place and then:
- If it is less than 5, you must round down.
- If it is greater than or equal than 5, you must round up.
In this case, given the number:

You can notice that the digit to the right of the digit in the thousandth place is 9.
Since
, you must round up. Then:

Finally, to express this as a single-digit times a power of ten, move the decimal point three places to the right. Then you get:
