Y=-3x+5
the slope is negative because the line is going down from left to right
the y-intercept is 5 because that’s where the line crosses the y-axis
Answer:
<u>Given</u>: base = 10.4ft, height = 12.5
Area of octagon = 8(1/2 × b × h)
- 8(1/2 × 10.4 × 12.5)
- 520ft²
Volume of pool = 520ft² × 3ft
Now, 1 cubic ft takes 7.5 gallons to fill.
Therefore, 1560 cubic ft takes,
So, <u>Correct choice</u> - [D] 11,700.
Answer:
b. the area to the right of 2
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, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.
In this problem:




Percentage who did better:
P(Z > 2), which is the area to the right of 2.
Use substitution
Given both y values, you know that they have to be equal
3x + 3 = x - 1
2x + 3 = -1
2x = -4, divide by 2
x = -2
Now plug x value into any of the equation to find y value
y = 3(-2) + 3
y = -6 + 3, y = -3
Solution: x = -2, y = -3