Answer:
Not proportional.
Step-by-step explanation:
Given ratios:
To tell whether the ratios are proportional or not.
Solution:
In order to tell whether the given ratios are proportional or not, we will reduce the fractions to the simplest numbers by dividing the numerator and denominator by their greatest common factor and then comparing them. If they are equal then the ratios are proportional else not proportional.
So, the simplest form of 4/2 can be calculated by dividing both by 2 as it is the G.C.F.
the simplest form of 8/6 can be calculated by dividing both by 2 as it is the G.C.F.
Now, since 2/1 does not equal 4/3, hence the ratios are not proportional.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
P(rain) = p(R) = 30% = 0.3
P(being late Given that it rains) = P(late | rain) = p(L|R) = 0.4
P(being late Given no rain) = P(late | no rain) = 0.15
(a) What is the probability that it will rain and the bus will be late? = P(RAINnLate) = P(RnL)
P(RnL) = p(R) * p(L|R)
P(RnL) = 0.3 * 0.4
= 0.12
(b) What is the probability that the bus will be late?
P(L) = p(R) * p(L|R) + p(no rain) * p(late | no rain)
P(L) = (0.3 * 0.4) + (1 - 0.3)*(0.15)
P(L) = 0.12 + 0.105
P(L) = 0.225
(c) Given that the bus ran late, what was the probability that it was not raining?
Given that bus ran late, the probability that it was not raining = p(no rain | Late)
p(no rain | Late) = 1 - p(R | L)
Recall :
P(RnL) = p(L) * p(R|L)
0.12 = 0.225 * p(R|L)
p(R|L) = 0.12 / 0.225
p(R|L) = 0.5333
p(no rain | Late) = 1 - 0.533
= 0.46666
= 0.467
I guess 5 is the answer as 5×5×5=125
Hope it helps you
Dogs. Cats.
4. To. 9
64. To. ?
I solved this by guess-timating, and i got it right. I know that 8*8=64 and 4*2=8 8*2=16, and i checked and got 16*4=64.
Since you do:
Dogs:4 * 16= 64
You have to do:
Cats:9 * 16= # of cats
And 9*16=144,
So there are 144 cats at the kennel
