The mode of his grade is 90 because it is the number most frequented
<span>Slope-intercept form is y = mx + b
m is the slope
b is the y-intercept
7x = 14y - 8
7x + 8 = 14y {added 8 to each side}
(1/2)x + (8/14) = y
slope is 1/2
A line perpendicular would have a slope of -2 {the negative reciprocal of 1/2}
#1 y = -2x - 7 {it is the only one with a slope of -2}</span>
Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get

The
portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>
This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>
Answer:
11 months
Step-by-step explanation:
185 - 20 = 165
165 ÷ 15 = 11
Answer:
day 0, day 120
Step-by-step explanation:
You want to find the value of x that makes both y-values be the same:
y = y
30x +10 = -x^2 +150x +10
x^2-120x = 0 . . . . subtract the right side of the equation
x(x -120) = 0 . . . . . factor
Values of x that make this true are x=0 and x=120.
The same number of each car was sold on day 0 and day 120.