Answer:
Area of sector = 102.6 feet squared
Step-by-step explanation:
Given:
Radius of circle = 14 ft
Angle θ = 60°
Find:
Area of sector
Computation:
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
The solution of the given inequality is:
x ≤ 15.24
<h3>
How to solve the inequality?</h3>
We know that the maximum that she can spend on gasoline is the 12% of $400.
That is:
(12%/100%)*$400 = 0.12*$400 = $48
Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:
x*$3.15 ≤ $48
To solve the inequality, we need to divide both sides by $3.15
x ≤ $48/$3.15
x ≤ 15.24
So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).
If you want to learn more about inequalities:
brainly.com/question/18881247
#SPJ1
Answer:
P(X = 12) = 0.0064.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
We want P(X = 12). So
P(X = 12) = 0.0064.
Answer: M= slope
M= -1/5
Step-by-step explanation:
M= the change in y over the change in x so you would do 1-4 over 13-(-2) which gives you -3 over 15 which is simplified to give you the answer which is -1/5.
Closest would be 8 43/200
