Answer:
100
Step-by-step explanation:
Answer:
tje ordered pair for y+5=2(x+1)
is x=(1.5,0) and y=(0,-3)
Step-by-step explanation:
Since x term is squared, solve for form (x-h)^2=4p(y-k)
x term is squraed so it opens down or up
vertex is (h,k)
p is distance from vertex to focus and from vertex to directix
if p>0, then dirextix is below vertex
if p<0, directix is above vertex
complete the square
y=(-1/6x^2+7x)-80
y=(-1/6)(x^2-42x)-80
take 1/2 of linear coefient and squer it and add negative and positive inside
-42/2=-21, (-21)^2=441
y=(-1/6)(x^2-42+441-441)-80
factor perfect square the square
y=(-1/6)((x-21)^2-411)-80
expand
y=(-1/6)(x-21)^2+73.5-80
y=(-1/6)(x-21)^2-6.5
add 6.5 to both sid
y+6.5=(-1/6)(x-21)^2
times both sides by -6
-6(y+6.5)=(x-21)^2
(x-21)^2=-6(y+6.5)
(y-21)^2=4(-3/2)(y-(-6.5))
vertex is
-3/2<0 so directix is above
it is -3/2 or 1.5 units above the vertex
up is y so
-6.5+1.5=-5
the directix is y=-5
Answer:
0.01864
Step-by-step explanation:
Let A be the event that a person was authorized and NA be the event that the person was not authorized. Let R be the event that a person was refused admission and G be the event that a person was granted admission.
Then we have to find P(A|R) = [P(A)*P(R|A)]/P(R)
putting value we get
P(R) = P(A)P(R|A) + P(NA)P(R|NA) = 0.95*(1/1000) + 0.05*((1,000,000-1)/1,000,000) = 0.0.05094995
P(A|R) = [P(A)*P(R|A)]/P(R)
= [0.95*(1/1000)]/(0.05094995)
=0.01864
Answer:
12 pounds, 6 ounces.
Step-by-step explanation:
First, add up both the pounds. 6+5=11 . Then, add up the ounces. 7+15=22 To simplify, since ounces make up pounds, and 16 ounces are in one pound, you would do 22 divided by 16. This will end in a decimal so take the highest number of 16 that can go into 22, which is 1. Subtract 16 from 22 to get the new number of ounces. This would be 6. Then, add 1 to the number of pounds. This would be 12. The simplified/combined answer is 12 pounds and 6 ounces.