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:
-2x+3y =1.......(1)
y=3x-9........(2)
Now,
putting the value of y in equation (1),
-2x+3(3x-9)=1
or,-2x+9x-27=1
or,7x-27=1
or,7x=28
x= 4
Now putting the value of X in equation (2),
y=3×4-9
= 12-9
=3
(x,y)=(4,3)
Answer:
(3,5)
Step-by-step explanation:
Answer:
90 red pens
Step-by-step explanation:
we need to find the least common multiple of the numbers 3 , 5 , 6 , 9
6 = 2 × 3
9 = 3²
then
LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90
The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder
Therefore the pack must have 90 pens or a multiple of 90
For example 180 , 270 ...
Answer:


Step-by-step explanation:
Given

Required
Select equivalent expression





Start by solving the given expression (using a calculator)

Then we solve the given options (using a calculator)










The equivalent expressions are (a) and (e)