Answer:9
Step-by-step explanation:81 divided by 9=9
Answer:
a) y = -500x + 130,000
b)67,500 gallons remaining
c) 260 hours
Step-by-step explanation:
Since water is being removed at a rate of 500 gallons per hour, the slope would be a negative.
a) y = -500x + 130,000
For<u> part b</u> input 125 for x:
y = -500(125) + 130,000
y = 67,500
There are 67,500 gallons remaining
For part c we are solving for the x intercept
0 = -500x + 130,000
Subtract 130,000 from both sides
-130,000 = -500x
x = 260
It will take 260 hours for the pool to completely drain
At a z-score of 1.80, the percentage of the scores that are better than yours is equal to 3.59%.
<h3>What is a z-score?</h3>
In Mathematics, a z-score is sometimes referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
<h3>How to determine the percentage?</h3>
Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:
Z-score = (x - μ)/σ
Where:
- x represents the sample score.
- σ represents the standard deviation.
- μ represents the mean score.
Since a score of 85 on a test corresponds to a z-score of 1.80, the percentage of the scores that are better than yours is given by:
P(x > 85) = P(z > 1.80)
P(z > 1.80) = 0.0359
P(z > 1.80) = 3.59%.
Read more on z-scores here: brainly.com/question/26714379
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Answer:
y = 5/4x
Step-by-step explanation:
The given line is written in slope-intercept form. In this form, the slope is the coefficient of x, -4/5.
The perpendicular line will have a slope that is the opposite reciprocal of this value:
-1/(-4/5) = 5/4
The simplest such line is the one that goes through the origin:
y = 5/4x
