Answer:
$7200 in the fund rose 6% n $2800 in the fund rose 9%
Step-by-step explanation:
let x be the amount in the fund rose 6%
gain in one year=x*6%=0.06x
total amount is 10000
so amount in the fund rose 9% = 10000-x
gain in one year=(10000-x)*9%=900-0.09x
total gain=0.06x+900-0.09x=900-0.03x
=684
900-684=0.03x
0.03x=216
x=7200
the other fund amount=10000-7200=2800
Answer:
Amount of fuel antifreeze = 6,279 gallon
Step-by-step explanation:
Given:
Amount of fuel = 273,000-gallon
Antifreeze = 2.3 %
Find:
Amount of fuel antifreeze
Computation:
Amount of fuel antifreeze = Amount of fuel × Antifreeze
Amount of fuel antifreeze = 273,000 × 2.3 %
Amount of fuel antifreeze = 6,279 gallon
Answer:
84/90
Step-by-step explanation:
Let 0.9333....... be x.
10x = 9.3333....... & 100x = 93.33333.......
So,
=> 100x - 10x = 93.33333...... - 9.333333.....
=> 90x = 84
=> x = 84/90
Answer:
The value that represents the 90th percentile of scores is 678.
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 value that represents the 90th percentile of scores.
This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.




The value that represents the 90th percentile of scores is 678.
Answer:
8
Step-by-step explanation:
18-12
12-X
X=12*12/18
X=8mm