Answer:
$190.65 for 31 hours
Step-by-step explanation:
P= ha
123=20a
123/20=a
6.15=a
P=6.15h
P= 6.15(31)
p=190.65
Answer:
17 quarters, 37 nickels
Step-by-step explanation:
We just have to set up a system of equations
quarters are x
and nickels are y
x+y=54
0.25x+0.05y=6.10
now we can get ready to substitute
x=54-y
substitute it in
0.25(54-y)+0.05y=6.10
simplify/evaluate
13.5-0.25y+0.05y=6.10
-0.2y=-7.4
y=37
plug it back in
x+37=54
x=17
Answer:
Step-by-step explanation:
There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.
a) Select 3 apples with replacement. Find the probability that all there are green.
- Given that we are taking all apples with replacement, the probability of getting a green apples remains the same in all 3 trials. Therefore the probability here is computed as:
- = (Number of green apples/Total apples)
Therefore 0.0130 is the required probability here.
b) Select 3 apples with replacement. Find the probability that none are red
Probability that none are red is computed here as:
- = (Number of non red apples/Total apples)
Therefore 0.14838 is the required probability here
c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples
- Probability that we get at least 2 red apples when 4 apples are drawn is computed here as:
- = 1 - (Probability that no red apple is taken out when 4 apples are taken out + Probability that 1 red apple is taken out when 4 apples are taken out)
- = 1 - 8C0 x 9C4 + 8C1 x 9C3 / 17C4
Therefore 0.6647 is the required probability here
d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.
- Given that the first apple is red, we are left with 16 apples out of which 5 are yellow. Therefore the required probability here is computed as:
Therefore 0.3125 is the required probability here
15 divide 30 by 2 and you have your answer
Is this calculus or something?
