Answer:
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
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Answer:
The number of gallons of gas Karl used is 15 gallons.
Option (C) is correct.
Step-by-step explanation:
As given
Karl drove 617.3 miles.
For each gallon of gas, the car can travel 41 miles.
i.e
1 gallons = 41 miles
Now find out for the 617.3 miles.
Thus
Therefore the number of gallons of gas Karl used is 15 gallons.
Option (C) is correct.
Answer:
In Math, she scored in the 93rd percentile, which is higher than the French percentile. So she did better on the Math exam as compared with the other incoming college students
Step-by-step explanation:
Z-score:
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.
On which exam did she do better as compared with the other incoming college students?
On the exam for which she had the higher z-score.
Franch:
Scored 85.
Mean 72, SD = 12. So
has a pvalue of 0.8810, so her French score is in the 88th percentile.
Math:
Scored 80
Mean 68, SD = 8. So
has a pvalue of 0.9332.
In Math, she scored in the 93rd percentile, which is higher than the French percentile. So she did better on the Math exam as compared with the other incoming college students
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Answer:
70
Step-by-step explanation:
You know the fourth number in this pattern is 15, and that they are all consecutive. With this information you know that the fifth number will be 16, and by counting backwards from 15 you can figure out all of the numbers are 12, 13, 14, 15, and 16. Now, to find the sum of these numbers you must add them together.
This is what it could look like: 12+13+14+15+16
Now to find the answer you need to calculate what the addition would equal, which is 70.
Answer:
4.39 to 2DP.
Step-by-step explanation:
x * (x - 2) = 28
x^2 - 2x = 28
Solving by completing the square:
(x - 1)^2 - 1 = 28
(x - 1)^2 = 29
x = +/-√29 + 1
x = 6.38516, -4.38516
x must be positive so it = 6.38516.
The shortest side = x - 2 = 4.385.