Answer:
The rate of temperatures in Celsius each hour
Step-by-step explanation:
-3x + 4 > 5
-3x > 5 - 4
-3x > 1
x < 1/-3
x < -1/3
Answer:
8 = 3x - 4y
or y = (3/4)x - 2
Step-by-step explanation:
(4,1) and (0, -2) are the two points I see.
slope = (1 -(-2))/(4 - 0) = 3/4
y-int: -2
y = (3/4)x - 2
or 2 = (3/4)x - y
8 = 3x - 4y
Answer:
Each side of the fountain is 5 units
Step-by-step explanation:
Given:
All the sides of the vertices are equal.
Vertices of the fountain
(7.5,5),
(11.5,2),
(7.5,−1),
(2.5,−1),
(−1.5,2),
(2.5,5)
To Find:
Length of the each side of the fountain = ?
Solution:
Let us find the Length of the hexagon using the distance formula
Distance formula =
Now lets find the length of AB
Length of AB =
where
= 7.5
= 11.5
= 5
= 2
Substituting the values we get,
Length of AB =
Length of AB =
Length of AB =
Length of AB =
Length of AB = 5
Since all the sides of the hexagon are said to be equal, the length of the sides of the hexagon is 5 units
Answer:
a) 2.9%
b) Option B is correct.
The prisoners must be independent with regard to recidivism.
Step-by-step explanation:
Probability that one prisoner goes back to prison = 17% = 0.17
a) The probability that two prisoners released both go back to prison = 0.17 × 0.17 = 0.0289 = 2.89% = 2.9% to 1 d.p
b) The only assumption taken during the calculation is that probability of one of the prisoners going back to prison has no effect whatsoever in the probability that another prisoner goes back to prison. That is the probability that theses two events occur are totally independent of each other.
If they weren't, we wouldn't be able to use 0.17 as the probability that the other prisoner goes back to prison too.