Answer:
11.5 inches
Step-by-step explanation:
Answer:
P(-1 < z < 1) = 0.3174
Step-by-step explanation:
Mean (μ) = 1.62 ounces
Standard Deviation (σ) = 0.05
No of balls (sample size n) = 100
X = weight of a ball
Weight of a group of 100 balls must lie in the range 162 ± 0.5 ounces i.e. weight of a single ball will be 162/100 ± 0.5/100 ounces = 1.62 ± 0.005 ounces.
So, we need to find the probability P (1.615 < X < 1.625). We will use the central limit theorem.
z = (Χ' - μ)/(σ/)
P (1.615 < X < 1.625) = ( < (Χ - μ)/(σ/) < )
= (-1 < z < 1)
We need to find the probability of P (-1 < z < 1) by looking at the Normal Distribution Probability Table.
In order to make our working simpler, we need to break P (-1 < z < 1) into two parts: P(z < 1) and P(z > -1)
The probability for areas under the normal curve are given for P(z>X) so we can directly find the probability of P (z > -1) by referring to the normal probability table.
P(z > -1) = 0.1587
We can calculate P(z < 1) by subtracting P(z >1) from the total probability (i.e. 1). P(z >1) can be obtained from the normal probability table.
P(z < 1) = 1 - 0.8413 = 0.1587
By adding the two probabilities together, we get:
P(-1 < z < 1) = P(z < 1) + P (z > -1)
= 0.1587 + 0.1587
P(-1 < z < 1) = 0.3174
Answer:
(3t + 7) (t + 1)
Step-by-step explanation:
3t^2 + 10t + 7
(3t^2 + 3t) (7t+7)
3t (t+1) 7 (t+1)
(3t+7) (t+1)
Answer:
Step-by-step explanation:
Somebody plays 30 times
L+W = 30, where L and W are number of losses and wins, respectively.
L = 30-W
Net after 30 plays is $6
2W - 1L = 6
2W - (30-W) = 6
3W = 36
W = 12
W = 18
17 wins
Answer:
76 or 238.76
Step-by-step explanation:
The volume of a cylinder is V =
Here the radius is r = =
The height is given as 19 ft
Then plug in all the numbers into the equation
V =