Answer: D: The model predicts that a person who does not walk each day will score about 48.1 on the test.
Step-by-step explanation:
Given: A psychologist collects data on the time, w, in minutes, people walk each day and their scores, t ,on a stress test.
She finds that there is a negative linear association between w and t that is best modeled by the equation 
.
When we put w=0 minutes, t=48.1
It implies that if any patient doesn't walk will score 48.1.
Hence, the model predicts that a person who does not walk each day will score about 48.1 on the test.
If A={1,2,3,4,5},B={4,5,6,7} and C={2,3,4}find (A-B)-C
Oksana_A [137]
Answer:
(A - B) - C = { 1 , 4 , 6 , 7 }
Step-by-step explanation:
A = { 1 , 2 , 3 , 4 , 5 }
B = { 4 , 5 , 6 , 7 }
A - B = { 1 , 2, 3 ,6 , 7 }
C = { 2 , 3 , 4 }
(A - B) - C = { 1 , 4 , 6 , 7 }
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
Answer:
1/9 pint
or 2/9 cup
Step-by-step explanation:
This question is asking us to <em>divide </em>2/3 pint among 6 cans.
2/3 ÷ 6
2/3 × 1/6
= 2/18
= 1/9 pint or 2/9 cup additive
