we have 25 individuals that are randomly selected out of 100 shoppers leaving a local bedding store, and we know that each of the shoppers has the SAME probability of answering yes to having made a purchase, so we can assume that the probability that a person or a shopper made a purchase is 1 / 12.
Also we know that we selected 25 individuals, so there are 25 shoppers that can say yes, that means our sample size N is 25.
and you want to know the probability that exactly 4 of the 25 shoppers made a purchase
this is a binomial distribution because we can see that we have a sample size n = 25, we have a proportion of success, 1/2to say yes to having made a purchase and we can say that each shopper is independently from the other shoppers.
So the binomial equation is given by: (check the attached image)
so we know that we want P(X=4) because we want to know exactly 4 out of 25.
so n is 25, p is 1/2 and x is 4 so substituting the values into the equation we will get:
P(X=4) = 25C4 * (1/2)^4 * (1 - 1/2)^(25-4)
P(X=4) = 12650 * 0.0625 * 0.000000476
P(X=4) = 0.000377
the probability that exactly 4 of the 25 shoppers made a purchase is....0.00010243
Answer: 30
Step-by-step explanation:
(−1)[p–(−5)(−q)]+(p+q)(−2)=
=(-1)[-3-(-5)(-7)]+(-3+7)(-2)=
=(-1)[-3-35]+4(-2)=
= (-1)(-38)-8=
= 38-8=
=30
Q1.
The slope-intercept form: y = mx + b
m - slope b - y-intercept
We have the slope m = 5 and y-intercept b = -8. Substitute:
<h3>Answer: D. y = 5x - 8</h3>
Q2.
Choice one point from the graph (look at the picture).
We have the point (2, -1). Put the coordinates of the point to the equations of a line and check the equality.
H. 2x - y = 5
L = 2(2) - (-1) = 4 + 1 = 5
R = 5
L = R CORRECT :)
<h3>Answer: H. 2x - y = 5</h3>
Q3.
The formula of a slope:

We have the points (2, -5) and (6, 3). Substitute:

Therefore we have the answers C and D with that the slope.
Put the coordinates of the points to the equations and check the equality:
C. y = 2x + 12
for (2, -5)
L = -5
R = 2(2) + 12 = 4 + 12 = 16
L ≠ R INCORRECT :(
D. y = 2x - 9
for (2, -5)
L = -5
R = 2(2) - 9 = 4 - 9 = -5
L = R CORRECT :)
for (6, 3)
L = 3
R = 2(6) - 9 = 12 - 9 = 3
L = R CORRECT :)
<h3>Answer: D. y = 2x - 9</h3>
Side would be 9centimeters diagonal is 12.7 centimeters
Answer:
Step-by-step explanation:
(5x-4)²
(5*2-4)²
6²=36