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
Answer: f(x) = 7x
See this table
x [ ft^3 of air in the ballon] f(x) [grams that can be lifted]
1 7
2 14
3 21
Answer:
rectangular prism
Step-by-step explanation:

Explanation
the distributive property states that 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

so
Step 1

apply the distributive property

now, calculate ot simplify

I hope this helps you
Good 'ol ratio and proportion
so what yo do is
known ratio=unknown ratio
so first one
oranges
number of oranges to cost=5:2
find the cost of 2 dozen (24) oranges
number of oranges to cost=5:2
5:2=24:?
5/2=24/?
times both sides by 2 times ?
5 times ?=48
divide both sides by 5
?=9.6
2 dozen oranges costs $9.60
this one I can't see how many days
but for x days, the cost is x times $60
john drove some distance
distance to amount of gas is 48:2
how much gas needed for 78 miles
48:2=78:?
48/2=78/?
times both sides by 2?
48?=156
divide both sides by 48
?=3.25
used 3.25 gallons for 78 miles