Nancy is buying a new pair of boots. The store is having a sale and all boots are 20% off. Which expression represents the sale
1 answer:
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Answer:
Option (a) is correct.
Step-by-step explanation:
Given : equation 2x + 3y ≤ 6
We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6
Consider the given equation 2x + 3y ≤ 6
We first find the points where the equation cut x- axis and y-axis.
Thus,
For x - axis put y = 0 ,
We get 2x + 3(0) ≤ 6 ⇒ 2x ≤ 6 ⇒ x ≤ 3
Thus, point (3,0)
For y - axis put x = 0 ,
We get 2(0) + 3y ≤ 6 ⇒ 3y ≤ 6 ⇒ y ≤ 2
Thus, point (0,2)
For region we choose a test point and find the value of x and y on that test point and check whether it satisfy the inequality satisfies or not.
Consider the point (0, 0) , then inequality becomes,
2(0) + 3(0) ≤ 6 ⇒ 0 ≤ 6 (true)
Hence, region below the line will be considered.
Thus, Option (a) is correct.
Answer:
Step-by-step explanation:
Hello!
The objective of this exercise is to compare the "Churn rate" between the two major cell phone providers in colorado springs.
For each provider, the number of subscribers was noted at the beginning and end of a month.
The study variables are:
X₁: Number of customers that cut ties with HTC over a month.
X₂: Number of customers that cut ties with Mountain Communications over a month.
To compare the churn rate of both companies, the parameters of interest are the population proportions of customers that stopped using the companies services over the given period.
The hypotheses of interest are:
H₀: p₁ = p₂
H₁: p₁ ≠ p₂
α: 0.01
The statistic to use is the standard normal approximation:
Z≈N(0;1)
HTC
n₁= 10000 customers (beginning of the month)
x₁= 190 customers (people that stopped using the company service)
sample proportion 'p₁= x₁/n₁= 190/10000= 0.019
Mountain Communications
n₂= 12285 customers (beginning of the month)
x₂= 215 customers (people that stopped using the company service)
sample proportion 'p₂= x₂/n₂= 215/12285= 0.0175
pooled sample proportion
'p= 0.0182
The p-value for this test is: 0 .4048
Note: Using the p-value method to decide over a hypothesis test, the decision rule is:
If p-value ≥ α, then you do not reject the null hypothesis.
If p-value < α, then you reject the null hypothesis.
The p-value < α, so the decision is to reject the null hypothesis.
With a significance level of 1%, there is enough evidence to conclude that there is a difference between the churn rate of the two cell phone providers.
I hope it helps!