Answer:
q = 
Step-by-step explanation:
The point of intersection (3, 1 ) is the solution to both equations
Using
y = qx - 7 and substituting x = 3, y = 1
1 = 3q - 7 ( add 7 to both sides )
8 = 3q ( divide both sides by 3 )
= q
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:
132 students
Step-by-step explanation:
Mr Smith offers to take extra help session for students after school
The day after the help session 11 of his students were talking and found out that only 2 had stayed up for the help session
= 2/11
There were actually a total number of 24 students that stayed
We are asked to find the number of student that Mr Smith teaches throughout the day
Let x represent the number of students that were taught during the day
Therefore, the number of student that Mr Smith teaches during the day can be calculated as follows
2/11=24/x
Cross multiply both sides
2 × x = 24 × 11
2x= 264
Divide both sides by 2
2x/2=264/2
x= 132
Hence Mr Smith teaches 132 students during the day.
Answer:
solution given :
Since opposite side and side of a congruent triangle are equal.
Now
the statement which is true is:
<HDG=~ <HFE
Answer:
$ 74.80
Step-by-step explanation:
The subtotal cost of the meal was $91.22 including tax.
The 18% tip is added for six or more.
The tip added should reduce the meal subtotal by 18 %
Reduce $91.22 by 18% to get ;
82/100 * 91.22 = $ 74.80
