We need to find the expression for " number_of_prizes is divisible number_of_participants". Also there should not remain any remainder left. On in order words, we can say the reaminder we get after division is 0.
Let us assume number of Prizes are = p and
Number of participants = n.
If we divide number of Prizes by number of participants and there will be not remainder then there would be some quotient remaining and that quotent would be a whole number.
Let us assume that quotent is taken by q.
So, we can setup an expression now.
Let us rephrase the statement .
" Number of Prizes ÷ Number of participants = quotient".
p ÷ n = q.
In fraction form we can write
p/n =q ; n ≠ 0.
Conditional probability is a measure of probability of an event given that another event has occurred.
P ( A\ B ) = P ( A ∩ B ) / P ( B ) - the conditional probability of A given B
P ( A ∩ B ) = 0.41; P ( B ) = 0.59
P ( A \ B ) = 0.41 / 0.59 = 0.6949152 ≈ 0.69
Answer: B ) 0.69
Answer:
y2 = m(x2-x1)+y1
Step-by-step explanation:
Given the formula for finding the slope of a linear equation to be;
m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)
To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:
m = y2-y1/x2-x1
Cross multiplying
m(x2-x1) = y2-y1
mx2-mx1 = y2-y1
Adding y1 to both sides of the equation we have;
mx2-mx1 + y1= y2-y1+y1
y2 = mx2-mx1 + y1
y2 = m(x2-x1)+y1
This gives the resulting equation to solve for y2
Answer:
Step-by-step explanation:
erasers=e
pencils=p
3e+5p=7.55 ...(1)
6e+12p=17.40
divide by 2
3e+6p=8.70 ...(2)
(2)-(1) gives
p=8.70-7.55=1.15
from (1)
3e+5(1.15)=7.55
3e+5.75=7.55
3e=7.55-5.75
3e=1.80
e=1.80/3=0.60
cost of 1 eraser=$0.60
cost of 1 pencil =$1.15
