Answer:
5/16
Step-by-step explanation:
Each number can happen in exactly one way (one sets the digit of tens and the other of ones).
We know that the law of divisibility by 3 is "sum of digits has to be divisible by 3", so let's examine the numbers:
11
13
15 - Yes
17
31
33 - Yes
35
37
51 - Yes
53
55
57 - Yes
71
73
75 - Yes
77
So it's 5 out of 16 options.
We could do it by examining the relation and modulus shifts with each digit, but for 16 numbers it's seriously faster to just list them.
Answer:
9
Step-by-step explanation:
3/7 multiplied by 21 = 3/7 x 21 = 9 = 3/7 x 21/1 = 63/7 = 9
Or if you can't do the math - Think of a pizza with 21 slices . Now cut this pizza into 7 equal parts. You will find that each part contains exactly 3 slices. Now, eat 3 of these parts. With three slices in each part, you ate 9 slices - which is three sevenths of 21.
C. 75 im pretty sure all i know is that is one of the postitive ones it might be D
Answer: the probability that exactly 2 buyers would prefer red is 0.0320
Step-by-step explanation:
We would assume a binomial distribution for the color preferences of new car buyers. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 40% = 40/100 = 0.4
q = 1 - p = 1 - 0.4
q = 0.6
n = 14
x = r = 2
Therefore,
P(x = 2) = 14C2 × 0.4^2 × 0.6^(14 - 2)
P(x = 2) = 91 × 0.16 × 0.0022
P(x = 2) = 0.0320