Answer:
A.) ŷ = 7X + 27.625
B.) check Explanation
C.) $77,000
Step-by-step explanation:
Given the following :
Education(x) : 3 4 6 2 5 4 8 0
Salary (y) : $40 36 56 35 72 47 107 52
A.) Using the linear regression calculator :
ŷ = 7X + 27.625
Salary = 7(education) + 27.625
B.) The Coefficient for education refers to the gradient or slope of the linear graph, the Coefficient is the ratio of the change in salary earned to education. The slope, which is the Coefficient of education is 7.
C.)What is the predicted salary for an individual who completed 7 years of higher education?
ŷ = 7X + 27.625
Salary = 7(education) + 27.625
Salary = 7(7) + 27.625
Salary = 49 + 27.625
Salary = $76.625
Salary = $77,000 ( nearest whole number)
Answer:
12.6
Step-by-step explanation:
2 1/3 × 5 2/5
2 1/3= 7/3
5 2/5= 27/5
7/3×27/5= 12.6
First, you have to divide 270 by 3, so you get 25%. This comes out to be 90. So, 90 is 25%. Now, multiply this by four to get 100%. This comes out to be 360. So, 270 is 75% of 360, which answers the question '270 is 75% of what number?'
Answer:
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
Solution:
Step 1: Set up a table with quantity and value.
quantity value total
$3 tickets
$2 tickets
together
Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantity value total
$3 tickets x 3 3x
$2 tickets y 2 2y
together 350 950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.