Answer: 0.0993
Step-by-step explanation:
Since the jar contains 18 red marbles and 38 blue marbles, the total marbles will be:
= 18 marbles + 38 marbles
= 56 marbles
When 2 marbles are pull out at random at the same time, the probability that both are red will be:
= (18/56) × (17/55)
= 0.3214 × 0.3091
= 0.0993
Answer:
Step-by-step explanation:
Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = length of time
u = mean time
s = standard deviation
From the information given,
u = 2.5 hours
s = 0.25 hours
We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as
P(2 lesser than or equal to x lesser than or equal to 3)
For x = 2,
z = (2 - 2.5)/0.25 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 3,
z = (3 - 2.5)/0.25 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
P(2 lesser than or equal to x lesser than or equal to 3)
= 0.97725 - 0.02275 = 0.9545
The number sentences and example of a additive identity property of addition
Answer:
0.15
Step-by-step explanation:
Step-by-step explanation:
x³ + x² − 14x − 24
x³ + x² − 20x + 6x − 24
x (x² + x − 20) + 6 (x − 4)
x (x + 5) (x − 4) + 6 (x − 4)
(x (x + 5) + 6) (x − 4)
(x² + 5x + 6) (x − 4)
(x + 2) (x + 3) (x − 4)
The other two factors are x + 2 and x + 3.