Answer:
Step-by-step explanation:
a) It is a binomial distribution.
n = 25
p = 0.15
b) mean = np = 25 * 0.15 = 3.75
variance = np(1 - p)
= 25 * 0.15 * (1 - 0.15)
= 3.1875
c) P(X = x) = nCx * px * (1 - p)n - x
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 25C0 * (0.15)^0 * (0.85)^25 + 25C1 * (0.15)^1 * (0.85)^24 + 25C2 * (0.15)^2 * (0.85)^23 + 25C3 * (0.15)^3 * (0.85)^22 = 0.4711
d) P(X = 3) = 25C3 * (0.15)^3 * (0.85)^22 = 0.2174
<u>Answer-</u>
Set of constraints to model the problem are,

<u>Solution-</u>
Let us assume,
x = the number of lawns weeded by Gwen,
y = the number of dogs walked by Fabio.
Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.
An equation for this situation will be,

The number of dog walked by Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means y must be less than or equal to 2x.
An equation for this situation will be,

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.
An equation for this situation will be,

Answer:
42.9 x 3.45 = 148.005 exactly or 148 rounded
Answer:
x = 18
Step-by-step explanation:
The function of the polynomial is (b) 
From the graph, we have the following highlights
- The graph crosses the x-axis at x = -1 and x = 3
- The graph touches the x-axis at x = -2
The above highlights mean that:
- The function has a multiplicity of 1 at x = -1 and x = 3
- The function has a multiplicity of 2 at x = -2
So, the function of the polynomial is:

Assume a = 1.
So, we have:

Multiply

Hence, the function of the polynomial is (b) 
Read more about polynomial graphs at:
brainly.com/question/8878887