Answer:
y = -2/3x + 6
Step-by-step explanation:
To find the slope, find how much y changes in proportion to x. Here, when x changes by 1, y changes by -2/3. So, the number before x is -2/3.
To find the y-intercept, we need to find what y will be when x is 0. Since we know that when x is 1, y is 16/3, and when x decreases by 1, y increases by 2/3. So, when x is 0, y is 16/3 + 2/3, which is 18/3, or 6.
Complete Question
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze
(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?
Answer:
Step-by-step explanation:
From the question we are told that:
Sample size
Probability
No. that do not cover their mouth when sneezing
Generally the equation for The Binomial distribution is mathematically given by
Parameters
B(18,0.267)
Therefore
Where
Therefore
the numbers inside the () are first number is x second number is y so it is (x,y)
so for y<x the second number needs to be smaller than the first number
so right away (3,3) is not the answer
and then y also has to be greater then 2x-3
so replace x with the fist numbers and see what you get.
(2x2)-3 = 4-3 = -1 since -1 is not greater than -1 the second answer (2,-1) is not right
3rd one (-1,-2) 2(-1)-3 = -2-3=-5
so -2 is greater than -5 and -2 is less than -1 so the 3rd one is the answer
The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.
Step-by-step explanation:
The given is,
A small pizza has an 8-inches in diameter
A large pizza has a 15-inches in Diameter
The small pizza cost $7
Step:1
Area of smaller pizza,
...................................(1)
Where, r - Radius of small pizza
From given,
r = 4 inches
Equation (1),
( ∵ =3.14 )
Square inches
Step:2
Area of smaller pizza,
...................................(1)
Where, r - Radius of small pizza
From given,
r = 7.5 inches
Equation (1),
( ∵ =3.14 )
Square inches
Step:3
Cost of pizza per square meter,
= $ 0.1393 per square meter
×
= $24.62
Result:
The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.
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