Answer:
Initially:
Cam has X stickers.
Dan has 2x.
Dan gives Cam 15 stickers:
Cam has x + 15 stickers.
Dan has 2x - 15 stickers.
2x - 15 = (x + 15) + 22.
X = 52 stickers.
x + 15 = 52 + 15 = 67 stickers.
2x - 15 = 2*52 - 15 = 89 stickers.
Step-by-step explanation:
Answer:
-1/12
Step-by-step explanation:
3/6 + (-5/6) = -2/6
-2/6 = -4/12
1/4 = 3/12
-4/12 + 3/12 = -1/12
Answer: For 95% Confidence Interval:
Upper Limit = 110.2
Lower Limit = 97.8
95% Confidence Interval = [97.8, 110.2]
Step-by-step explanation:
Given that,
Mean(M) = 104
Standard Deviation(SD) = 10
Sample Size(n) = 10
Formula for calculating 95% Confidence Interval are as follows:
Standard error(SE) =
= 
= 3.164
⇒ M ±
× SE
= 104 ± (1.96)(3.164)
= 104 ± 6.20
∴ Upper Limit = 104 + 6.20 = 110.2
Lower Limit = 104 - 6.20 = 97.8
So,
95% Confidence Interval = [97.8, 110.2]
A) 26.7%
B) 40%
The probability of A is given by 4/6(2/5), since this is done without replacement; there are 4 blue marbles out of 6. When the first one is gone, there are 2 red out of 5 remaining.
The probability of B is given by 4/6(3/5), since this is done without replacement; there are 4 blue marbles out of 6. When the first one is gone, there are 2 blue out of 5 remaining.
Answer:
13
Step-by-step explanation:
1. Put 5 in for x. 2×5+3
2.10+3
3.13