Answer:
0.1527
Step-by-step explanation:
Given that a researcher wishes to conduct a study of the color preferences of new car buyers.
Suppose that 50% of this population prefers the color red
15 buyers are randomly selected
Let X be the no of buyers who prefer red.
X has exactly two outcomes red or non red.
Also each buyer is independent of the other
Hence X is binomial with p = 0.5 and n = 15
Required prob =The probability that exactly three-fifths of the buyers would prefer red
= P(X=9)
= 
=
Answer: The required number of boys in the class is 18.
Step-by-step explanation: Given that in math class, the girl to boy ratio is 8 to 6 and there are 24 girls in the class.
We are to find the number of boys in the class.
Let 8x and 6x represents the number of girls and boys in the class.
Then, according to the given information, we have
Therefore, the number of boys in the class is given by
Thus, the required number of boys in the class is 18.
X-c/2 = d
Multiply by 2 on both sides. Leaves us with:
x-c = 2d
Add 2 to both sides. Leaves us with:
x = 2d + c
Unless you have values to substitute into the variables, this is your answer:
x = 2d + c
Just plug in 100 for x
2(100)+1
200+1
Answer
201
and then for 25
2x+1=25
2x=24
Answer
X=12
