Answer:
0.108
Step-by-step explanation:
Using the poisson probability process :
Where :
P(x =x) = (e^-λ * λ^x) ÷ x!
Given that :
Each batch of bread = 3 loaves
Each loaf = 15 slices
Total slice per batch = 15 * 3 = 45 slices
Number of raising added = 100
Average number of raisin per slice, λ = 100/45 = 20/9
Hence,
Probability that a randomly chosen slice has no raising :
P(x = 0) = (e^-λ * λ^x) ÷ x!
P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!
P(x = 0) = (0.1083680 * 1) / 1
P(x = 0) = 0.108
Answer:
see below
Step-by-step explanation:
The steps are +2 then *4 then -8 then ÷2
Input is 5
5 +2 =7 *4 = 28-8 = 20 ÷2 = 10 Output is 10
Input is 9
9 +2 =11 *4 = 44-8 = 36 ÷2 = 18 Output is 18
Input is 14
14 +2 =16 *4 = 64-8 = 56 ÷2 = 28 Output is 28
Input is 18
18 +2 =20 *4 = 80-8 = 72 ÷2 = 36 Output is 36
Input is 23
23 +2 =25 *4 = 100-8 = 92 ÷2 = 46 Output is 46
Input is 7.5
7.5 +2 =9.5 *4 = 38-8 = 30 ÷2 = 20 Output is 20
Input is 11.54
11.54 +2 =13.54 *4 = 54.16-8 = 46.16 ÷2 = 23.08 Output is 23.08
x=96
all interior angles equal 180
Subtract exterior andgles by 180 to get interior angles because they are supplementary
180-134=46
180-130=50
Get the third angle inside the triangle
180-50-46=84
subtract by 180 to get x because they are supplementary
180-84=96
Therefore x =96
answer
0.54
explanation
since student A and student B are independent of each other, we multiply their individual probabilities to get the probability of both solving the problem
A * B
= 0.9 * 0.6
= 0.54
there is a 0.54 probability that both will solve the problem
Either or can be used with any triangle...I personally find the law of sines is often more compact as in this case we can just say;
(sin115)/18=(sin40)/c (with no need for b or B as would be needed with the law of cosines...)
c=18(sin40)/(sin115)
c≈12.77
