Answer:
1.32% of students have the chance to attend the charter school.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be 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.
This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.
This means that 
a.What is the percentage of students who have the chance to attend the charter school?
Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So



has a pvalue of 0.9868
1 - 0.9868 = 0.0132
0.0132*100% = 1.32%
1.32% of students have the chance to attend the charter school.
Answer:

Step-by-step explanation:
Let
x ----> the number of minutes
y ----> the amount of fuel in gallons
we know that
The linear equation in slope intercept form is equal to

where
m is the unit rate or slope
b is the y-intercept or initial value
we have that
The unit rate or slope is equal to

----> initial value (value of y when the value of x is equal to zero)
substitute

M(x) = x² - 4x + 3
m(x) = x² - x - 3x + 3
m(x) = x(x - 1) - 3(x - 1)
m(x) = (x - 3)(x - 1)
(x - 3)(x - 1) = 0
x - 3 = 0 ∧ x - 1 = 0
<u>x = 3 ∧ x = 1</u>
or
m(x) = x² - 4x + 3
Δ = (-4)² - 4 · 1 · 3
Δ = 16 - 12 = 4
√Δ = √4
√Δ = 2
x = (4 - 2)/2 ∧ x = (4 + 2)/2
x = 2/2 ∧ x = 6/2
<u>x = 1 ∧ x = 3</u>
Answer:
See below
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals. Line a with the equation y = 13x + 3 has slope 13. This means Line b which is perpendicular will have slope -1/13.
The equation of line b is any equation where -1/13 is the slope/
Example: y = -1/13x + 5 or y = -1/13x - 6
Answer:
weres the question
Step-by-step explanation: