1) Nashville = center = (-58, 55) => Xc = - 58miles, Yc = 55miles
2) radius = 8 miles
3) General equation of a circle: (x - Xc)^2 + (y - Yc)^2 = radius^2
4) equation of the circle that represents radar coveraga:
(x - (-58) )^2 + (y - 55)^2 = 80^2
=> (x + 58)^2 + (y - 55)^2 = 6400
Answer: (x + 58)^2 + (y - 55)^2 = 6400
Answer:
a. 1/4
Step-by-step explanation:
3r=12p
<em>Divide the left side by 12 to get 1 cup of pineapple juice.</em>
3r=12p
---- = p
12
<em>So now you have</em>
3r=p
<em>BUT you have to divide BOTH sides by 12 so</em>
3r=p
---
12
<em>NOW you have</em>
3/12 r = p
<em>Simplify.</em>
1/4r = p
So 1 cup of pineapple juice is equivalent to a quarter cup of orange juice!
Answer:
larger number=29;smaller number=18
Step-by-step explanation:
let assume the two numbers are X and Y
where X is the larger number and Y is the smaller number.
From the question the larger number is 7 less than twice the smaller number. in mathematical terms this can be denoted as;
X=2Y - 7→→→→→→ equation 1
Also it was stated in the question that the sum of the two numbers is 47 which can be denoted as;
X + Y = 47→→→→→→ equation 2
Now from equation 1, X is mathematically expressed as 2Y - 7. Having known this we substitute X as 2Y - 7 into equation 2 then we have 2Y - 7 + Y = 47.
collecting like terms we have
2Y + Y = 47 + 7
solving arithmetically we have;
3Y = 54
divide both sides by 3 we have;
Y = 18.
Now if you recall from equation 1;
X = 2Y - 7;
since we now know Y as 18 we substitute Y as 18 in equation one then we have;
X = 2(18) - 7;
X =36 - 7
X = 29.
Answer:
The Binomial model is inappropriate because the Trials are independent of each other
Step-by-step explanation:
Given data :
probability of a company started by a person failing with 2 years = 0.3
14 start-ups ( 98 people ) are followed for 2 years
The probability that at least 42 of these 98 people will fail in 2 years
<u>Reason why the Binomial model is inappropriate for finding the probability that at least 42 of these 98 people will fail </u>
The Binomial model is inappropriate because the Trials are independent of each other
Answer:
5 or D
Step-by-step explanation:
The volume of a cube is equal to a side length to the power of three. Hence the term "cubed". so x^3=125
x=cbrt(125)
x=5
Double check:
(5*5)*5=25*5=125