A and b are the minutes spent on machine A and machine B, respectively.
a+b = 40
b = 40-a
8a + 6b = 300
8a + 6(40-a) = 300
8a + 240 - 6a = 300
2a = 60
a = 30
b = 40-a = 10
30 minutes on machine A and 10 minutes on machine B
12 - 3b < 9
12 (-12) - 3b < 9 (-12)
-3b < -3
-3b/-3 < -3/-3
(note when dividing a negative number, flip the inequality sign)
b > 1 is your answer
hope this helps
Convert "inches" to "feet" here. 30 in 1 ft 30
--------- = --------- = --------- ft
1 12 in 12
Now find the ratio of (30 ft / 12) to 9 ft:
30 ft
------
12 30
==== = ----------- Reduce this fraction; one way would be to
9 ft 12(9) write 30/9 as 10/3:
30 10
------- = ------------ = 5/18 (answer)
12(9) 12(3)
If the base were 1, then the final value would never change...it would be a constant...
If the base is between zero and one, it is an exponential decay equation, so the final value would continually get smaller and smaller...
Answer:
Step-by-step explanation:
Given that researchers wondered whether the size of a person's brain was related to the individual's mental capacity
They selected a sample of 5 females and 5 males and measured their MRI counts and IQ scores.
The data is reported to the right. Complete parts (a) through (d) below.
We want scatter plot for IQ vs MRI in general.
So we group data into two columns X for MRI and Y for IQ and draw scatter plot
MRI IQ
816932 133
1001121 140
833868 132
856472 140
866662 130
1038436 139
1079550 141
924059 136
a) Scatter plot is attached as a file
b) correlation coefficient = Cov (x,y)/S_x S_y = 0.729889
B) Yes, MRI count and IQ are linearly related since the linear correlation coefficient is _____.0.729889 >0.5 and near to 1 than to 0
There is a positive moderate correlation between x and y (linear)
