Answer:
Z = (60 - x + y + z) / √a + b + c
Step-by-step explanation:
Since it is a normal distribution, we must calculate the mean and standard deviation, since we do not have data, what we will do is leave them based on these:
Thus Total Mean time = M1 + M2 + M3
given:
M1 = x
M2 = y
M3 = z
Total Mean Time M = x + y + z
Now to calculate the standard deviation we first calculate the variance.
The total Variance V = V1 + V2 + V3
Given:
V1 = a
V2 = b
V3 = c
V = a + b + c
Thus Standard deviation SD of the complete operation is
SD = √ V
SD = √a + b + c
we need to find the probability that the mean time is less than or equal to 60 minutes, the first thing is to find the value of Z.
Formula of Z is:
Z = (X - M) / SD
In this case X = 60.
On plugging the values we get
Z = (60 - x + y + z) / √a + b + c
refer to the Z table and find the Probability of Z ≤ (60 - x + y + z) / √a + b + c
Answer:
Common ratio = 1/2 and first term = 384
or common ratio = -1/2 and first term = -384.
Step-by-step explanation:
T6/T4 = r^5 / r^3 where r = the common ratio and T6 and T4 are 6th and 4th terms
r^5 / r^3 = 12/48
r^2 = 1/4
so r = +/- 1/2.
The 4th term = a r^3 where a = first term.
If r = 1/2:-
48 = a *(1/2)^3 = a/8
a = 8*48
= 384.
if r = -1/2, then a = -384
Answer:
b
Step-by-step explanation:
greatest decimal places is 2..
Probability of orange: 7/22
^ That's for one draw.
For 2 draws, it's when he draws an orange on one <u>and</u> then an orange on the next. So
7/22 x 7/22 = 49/484
