Answer:
28
Step-by-step explanation:
Given that 12.5% of students own at least 1 pet, then the percentage of students who do not own a pet is
100% - 12.5% = 87.5%
Calculate 87.5% of 32, that is
× 32
= 0.875 × 32 = 28 ← number of students who do not own a pet
Answer:
C. Inverse
Step-by-step explanation:
The second statement is the inverse, because in an inverse, the hypothesis and the conclusion are both negated. In this case, the sun doesnt shine and the people wont be in a good mood, as opposed to the sun will shine, and the people will be in a good mood.
Answer:
0.058 is the required probability.
Step-by-step explanation:
We are given the following PMF in the question:
x: 0 1 2
p(x): 0.24 0.15 0.61

Z can take values 0, 1, 2, 3, 4.
We have to compute the value of P(Z=0)

Thus,

Answer: The answer is 30%.
Step-by-step explanation: Given that there is a group of 10 light users and 10 heavy users. We are to find the probability that exactly 3 of the 20 users are HIV positive.
We have the following four possible cases -
(i) All 3 are light users.
(ii) 1 is a light user and 2 are heavy users.
(iii) 2 are light users and 1 is a heavy user.
(iv) All 3 are heavy user.
Since there is a 45% chance of a light user to be HIV positive and 55% chance of a heavy user to be HIV positive, so the required probability is given by

Thus, the probability is 30.
Attached is a drawing to set up the problem, hopefully that helps.
The red lines are tracing the rowing and walking to get to other side.
dR = distance rowed
dw = distance walked
x = the angle in which to start rowing initially
dR can be found by using Law of cosines

dw is arc length, which is just radius*arc

next we need t set up a function for Time in terms of x.
This is so we can minimize the time it takes to get to other side.
Time = distance/rate

Finally, take derivative and set equal to 0
Once you solve for x, plug it back into Time function to obtain final answer.