Answer:
The mean for the combined sample = 6.
Step-by-step explanation:
We have been given that one sample of n = 10 scores has a mean of M = 8.
So the sum of 10 scores for 1st sample will be: 
We are also told that second sample of n = 5 scores has a mean of M = 2.
So the sum of 5 scores for 2nd sample will be: 
When the both samples are combined, so total points will be: 
and total scores will be 
.
Therefore, the mean for the combined sample will be 6.
Answer:
Step-by-step explanation:
From the given information,
Considering both cases when p = 0.5 and when p ≠ 0.5
the probability that the gambler will quit an overall winner is:
where ;
N.k = n and k = m
Hence, the probability changes to:
is p ≠ 0.5 and k/N = 
is P = 0.5
Answer:
It would take Al 7.5 days to build the grill alone.
Step-by-step explanation:
Since Tim and Al are bricklayers, and Tim can construct an outdoor grill in 5 days, and if Al helps Tim, they can build it in only 3 days, to determine how long would it take Al to build the grill alone should be done the following calculation:
1/5 + X = 1/3
0.20 + X = 0.333
X = 0.333 - 0.20
X = 0.1333333
X = 1 / 7.5
Therefore it would take Al 7.5 days to build the grill alone.
Answer:
15
Step-by-step explanation:
because it the 0 that need to subtract
You mean "Simplify 16²÷4³?"
16²=16*16, 16= 4*4
4³=4*4*4
so:
Simplify: <u>16²</u> = <u>16*16</u> = <u>4*4*4*4</u> = <u>4</u> = 4
4³ = 4*4*4 = 4*4*4 1
OR
256 ÷ 64 = 4
