The last one if it is talking about horizontal shifts.
Answer:
A)Option D
B)P(X = 15) = 0.1325
Step-by-step explanation:
A) From the question, the information given follows binomial distribution because there are two mutually exclusive outcomes for each trial, there is a fixed number of trials. The outcome of one trial does not affect the outcome of another, and the probability of success is the same for each trial.
So option D is correct.
B) From the question, we are told that the poll reported that 66 percent of adults were satisfied with the job. Thus, probability is; p = 0.66
Let X be the number of adults satisfied with the job. Since 25 are selected,
Thus;
P(X = 15) = C(25, 15) * (0.66)^(15) * (1 - 0.66)^(25 - 15)
P(X = 15) = 3268760 × 0.00196407937 × 0.00002064378
P(X = 15) = 0.1325
Based on the given original and dilated points, you can notice that the dilation is:
(x,y) => (1/3 x , 1/3 y)
This can be verified with any point of the figure, for example:
C(6,-3) => C'(1/3 (6) , 1/3 (-3)) = C'(2 , -1)
Hence, the answer is:
(1/3 x , 1/3 y)
The 12 is multiplied by 4 to get 48, and
the (5r + 6t) is multiplied by 6 to get (30r + 36t), therefore
you are multiplying the outside by 4 and the inside by 6, putting
those together is 24 for a factor.
If 12(5r + 6t) = w, then
48(30r + 36t) is equal to 24w.
