Answer:
(-4, 0) and (5/2, 0)
Step-by-step explanation:
if you graph the equation you can see where the curve intersects the x-axis or you can factor the equation into: (2x - 5)(x + 4) = 0
set each factor equal to zero and solve:
2x - 5 = 0
2x = 5
x = 5/2
x + 4 = 0
x = -4
Answer:
This problem is incomplete, we do not know the fraction of the students that have a dog and also have a cat. Suppose we write the problem as:
"In Mrs.Hu's classroom, 4/5 of the students have a dog as a pet. X of the students who have a dog as a pet also have cat as a pet. If there are 45 students in her class, how many have both a dog and a cat as pets?"
Where X must be a positive number smaller than one, now we can solve it:
we know that in the class we have 45 students, and 4/5 of those students have dogs, so the number of students that have a dog as a pet is:
N = 45*(4/5) = 36
And we know that X of those 36 students also have a cat, so the number of students that have a dog and a cat is:
M = 36*X
now, we do not have, suppose that the value of X is 1/2 ("1/2 of the students who have a dog also have a cat")
M = 36*(1/2) = 18
So you can replace the value of X in the equation and find the number of students that have a dog and a cat as pets.
Answer:
Becky, because her justification for the second statement should be "definition of supplementary angles" rather than "angle addition postulate."
Step-by-step explanation:
Becky completed the proof incorrectly because her justification for the second statement is not totally correct.
Angle addition postulate does not really apply here, as the sum of 2 angles may not give you exactly 180°.
However, the second statement, m<AKG + m<GKB = 180° and m<GKB + m<HKB = 180°, can be justified by the "Definition of Supplementary Angles".
The sum of supplementary angles = 180°.
Therefore, Becky completed the proof incorrectly.
Let
L=event that a selected worker has low risk
H=event that a selected worker has high risk
We need to find
P(HL)+P(LH)
=5*20/(25*24)+20*5/(25*24)
=1/6+1/6
=1/3
Answer:
382000
Step-by-step explanation:
