Answer:
Domain is the x and the range is the y, that being said, 1) domain: 1,3,5 range: 2,4,6
2) you need to solve for x then plug x in and solve for y when solving for x you can plug in a number like 1
3) same circumstance as number 2!
Hope this helped!
Step-by-step explanation:
The probability is 7/10 or 70% that a randomly selected student does not receive some form of government-sponsored financial aid
Total number of students in the small private college = 800
Number of students who receive some form of government-sponsored financial aid = 240
Number of students who did not receive government-sponsored financial aid = 800 - 240 = 560
Computing the probability using the formula, we get the following:
The probability that a randomly selected student did not receive government-sponsored financial aid = Number of students who did not receive financial aid/Total number of students in the college
= 560/800 = 7/10 or 70%
Learn more about probability:
brainly.com/question/11234923
#SPJ4
Answer:
Cluster sample
Step-by-step explanation:
Samples may be classified as:
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this problem, we have that:
Selection of groups according to the buses.
All members on those buses are pulled.
So this is an cluster sample.
You would multiply 8 and 5 because he worked through Monday and Friday.
He worked 40 hours total. Now all you have to is divide 40 and 2 2/3 which you answer would be 15.
He made 15 baskets in total.
<span>Part I: Determining Dimensions
Arnold
has been given a 6 foot by 6 foot sheet of cardboard to make an open
box by cutting an equal size square from each corner, folding up the
resulting flaps, and taping at the corners. Your task is to label
dimensions on a sketch with the same size variable cut from each corner.
*You don't have to draw one, just explain what it would look like*
Answer:
Base of the box:
it is a square
side of the base = 6 foot - x - x. = 6 - 2x
Height of the box: x
Part II: Analyze
How does each variable expression relate to the length, width, and height of the box when folded?
Answer:
length = width = 6 - 2x
height = x
Part III: Extend your Findings
a. Based upon the variables you used in Part II, write a product for the volume.
Answer:
Volume = area of the base × height
Volume = (6 - 2x)² x
b. Expand the product to write a volume function.
Answer:
Volume = (36 - 24x + 4x²)x
Volume = 36x - 24x² + 4x³
c. What domain makes sense for the volume?
Answer:
Since x is a physical dimension x is greater than 0
Since the lenght of the cardboarc sheet is 6 and two squares are cut off, x has to be less than 3
So, the domain is (0, 3)
d. Guess and check values to find the size cut that produces a maximum volume.
*Six guesses are required*
Answer:
x </span>Volume = 36x - 24x² + 4x³
0.1 36(0.1) - 24(0.1)² + 4(0.1)³ = 3.36
0.5 36(0.5) - 24(0.5)² + 4(0.5)³ = 12.5
1.0 36 - 24 + 4 = 16
1.5 36(1.5) - 24(1.5)² + 4(1.5)³ = 13.5
2.0 36(2) - 24(2)² + 4(2)³ = 8
1.7 36(1.7) - 24(1.7)² + 4 (1.7)³ = 11.49
1.2 36(1.2) - 24(1.2)² + 4(1.2)³ = 15.55
Then you can guess that the maximum volume is pretty close to 16 and it is whenx is close to 1.
2.9
