Answer:
Hope the below answer is easy to understand
Step-by-step explanation:
1) Given the four angles of a quadrilateral are in the ratio 1:2:3:4
Then Let the angles are x,2x,3x and 4x
We know that total of four angles of a quadrilateral =360 °
∴x+2x+3x+4x=360 °
⇒10x=360 °
⇒x=36 °
hence the measures of angles are 36 ° ,72 ° ,108 ° ,144 °
2) Measure of interior angle of a polygon= 180°.
Sides of the polygon = 7 sides
Therefore,
Interior angle of the polygon having 7 sides = 180/7 = 25 5⁄7°
Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- For each customer, 10% probability of receiving a coupon, thus .
- 2 customers are selected, thus
The probability that <u>neither receives a coupon is P(X = 0)</u>, thus:
0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
A similar problem is given at brainly.com/question/25326823
Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change =
=
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change =
=
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change =
=
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change =
=
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Step-by-step explanation:
m=-1/2
b(0,3)
mark (0,3)then go down 1 and 2 to the right as in positive side