Answer:
.
Step-by-step explanation:
It is given that and .
For ,
Divide both sides by 2.
...(i)
For ,
Divide both sides by 6.
...(ii)
From (i) and (ii), we get
Therefore, the required answer is .
The fraction of the numbers in the distribution that are between 50 and 70 is; 95/100
<h3>How to use the empirical rule in statistics?</h3>
We are given;
Mean = 60
Standard deviation = 5
To find the numbers in the distribution that are between 50 and 70, it means that the numbers are going to be 2 standard deviations from the mean because 2σ = 2 * 5 = 10 which is the difference of both pairs from the mean.
According to empirical rule, 2 standard deviations from the mean is approximately 95/100 or 95%.
Complete question is;
In a certain distribution, the mean is 60 with a standard deviation of 2. At least what traction of the numbers are between the following pair of numbers? At least of the numbers in the distribution are between 50 and 70
Read more about Statistics Empirical Rule at; brainly.com/question/10093236
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It depends on the question
Answer:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.50x + 43y ≤ 200
Step-by-step explanation:
From the question we are told that:
If x and y represent the number of tickets Paige purchased for the 2 types of seats, Paige would like to attend at least 5 concerts.
The inequalities that models the situation above is given as:
x ≥ 0
y ≥ 0
x + y ≥ 5
Also from the question, we were told that: There are two types of seats at the concerts, which are priced at $29.50 and $43.00. Paige would like to attend at least 5 concerts and spend no more than $200.
The inequalities that models the situation above is given as:
29.50 × x + 43.00 × y ≤ 200
29.5x + 43y ≤ 200
Therefore, the system of inequalities that could Paige use to model this situation is:
x ≥ 0
y ≥ 0
x + y ≥ 5
29.50 × x + 43.00 × y ≤ 200
= 29.5x + 43y ≤ 200
Answer:
Option (C)
Step-by-step explanation:
We will apply the rules of transformations in this question.
Parent function of the given line in the graph is,
f(x) = mx
If the function is f'(x) = -mx
Then the line will be inverted of reflected across the x-axis.
If the function is g(x) = -mx - b
Then the line representing function g(x) = -mx will be shifted b units downwards, similar to the graph given in Option (C).