Answer:
Step-by-step explanation:
Total marbles in bag= 55
Given that
The number of green marbles is 7 more than 5 times the number of blue marbles.
Let green marble be x
And blue marble be y
Therefore,
Green=seven more than 5 times blue
Green=7+5timesblue
x=7+5y. Equation 1
Also the sum of the marbles is 55
x+y=55. Equation 2
Substitute equation 1 into 2
7+5y+y=55
7+6y=55
6y=55-7
6y=48
y=48/6
y=8
From equation 2
x+y=55
Then, x=55-y
x=55-8
x=47
Then, green marbles is 47.
Also, Blue marbles is 8
Answer:
At most 9.12 joules should be required for the bottom 80% of bottled water
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 question, we have that:

How much energy should be required for the bottom 80% of bottled water?
At most the 80th percentile.
The 80th percentile is X when Z has a pvalue of 0.8. So it is X when Z = 0.84.


At most 9.12 joules should be required for the bottom 80% of bottled water
A) $644
b) 50%
work:
1,299 - 655 = 644