Answer:
Y=1/3x-1 is the correct answer in slope intercept form:)
Hopefully! this help.
Step-by-step explanation:
Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?
Answer:
a) 8,000!/(8000 - 4)! ways
b) 15,000,000 + 7998!/(7998 - 2)! ways
c) 5,000 + 7,999!/(7,999- 3)! ways
d) 3,000 + 7,999!/(7,999- 3)! ways
Step-by-step explanation:
The number of students at Rackham Graduate School = 8,000 students
The number of PhD students = 5,000
The number of masters students = 3,000
The number of student members of the Rackham Student Government Executive Board = 4 students
a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!
b) The number of ways of having one Master student in the board = 3,000 ways
The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways
The number of ways of selecting the remaining 2 members =
7998!/(7998 - 2)!
The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways
c) The number of ways of choosing the VP position as PhD = 5,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways
d) The number of ways of choosing a masters student as the VP position = 3,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways
How many joules of gravitational potential energy are stored in an object that has a mass of 8.5 kilograms and is held 2 meters above the surface of earth?
Answer:
I believe the answer is 166.6 Joules or (if rounding to the nearest whole number) 167 Joules.
Step-by-step explanation:
Here is the formula to find the gravitational potential energy of an object:
U = m * g * h (potential energy equals mass times gravitational acceleration * the height)
The mass is 8.5 kilograms, the height is 2 meters, and Earth's gravitational acceleration is always, no matter the other values or earthly situations, 9.8 m/s.
Now we solve:
8.5 * 9.8 * 2 = 166.6 which is rounded to 167 Joules.
X-7>29 inequalities someone please help
Answer:
x>36
Step-by-step explanation:
Hope this helps and good luck
Which matches the inequality?
x > 3
(adding extra characters so its over 20)
1) f(x) = 3*
f(x)
x
-1
0
1
2 3
1)f(×)=3*=f(×)=×-1 0 1=0.23
What is the distance between point (5, 9) and its reflection across the x-axis?
Answer:
10 units
Step-by-step explanation:
with one of these is a function
a
b
c
d
Answer:
It's B
Step-by-step explanation:
Answer:
B is a functional answer
What is the slope of a line of best fit if its equation is y = −2x + 3?
−2
Negative 1 over 2
1 over 3
3
Answer:
-2
Step-by-step explanation:
y=m(slope)x+b(y axis)
Solve the inequality.
x + 23 < 37
Group of answer choices
x < 60
x < 14
x < 37
x < 23
Answer:
x = 14
x + 23 < 37 ( move constant to right-hand side and change its sign)
x<37-23 ( subtract numbers)
x < 14
The bar graph shows the number of each kind of pet owned in Critter City. How many more cats are pets in Critter City than fish?
A)
5
B)
10
15
D)
30
Answer:
i need the photo to answer
Step-by-step explanation:
Van wants to build a square field with a fence around the outside. If he has 104 feet of
fencing, what should be the length of each side of his field?
Answer:
26
Step-by-step explanation:
104 divided by the 4 sides (for perimeter) equals 26
Which of the following explains the role of Pi (1) in finding the circumference of a circle?
А
Pi is the ratio of the radius of a circle to the diameter of a circle.
B
Pi is the ratio of the radius of a circle to the circumference of a circle.
С
Pi is the ratio of the diameter of a circle to the circumference of a circle.
D
Pi is the ratio of the circumference of a circle to the area of a circle.
Answer:
The answer is C, The use of Pi can be used to find the ratio of the diameter and circumference of a circle
Step-by-step explanation:
The sum of 43 and z is equal to 72.98. Enter the equation that represents the description.
sum is an answer to an addition problem, so we have to add 43 and z. z+43=72.98
Subtract 43 on both sides.
z=29.98
---
hope it helps
Answer:
43 + z = 72.98
Step-by-step explanation:
Sum meaning add the two (or more numbers together) we get 43+ z = 72.98
If you're trying to find "z" simply subtract 43 from 72.98 to get 29.98 as z
CL 6-153
In 2012 the average cost for a new midsized car was about
$31,000. New car prices tend to go up about 2% every year.
a. What is the multiplier for this situation?
b. If this trend continues, what will the cost be in 4 years?
c. Write an equation to calculate the cost in n years. What does
each of the factors in your equation represent?
Answer:
A) The multiplier for this situation is 0.02.
B) The cost in 4 years will be $ 33,555.39.
C) 31,000 x 1.02 ^ N = X
Step-by-step explanation:
Since in 2012 the average cost for a new midsized car was about $ 31,000, and new car prices tend to go up about 2% every year, to determine what is the multiplier for this situation, what will the cost be in 4 years if this trend continues and to write an equation to calculate the cost in n years the following calculations must be performed:
A)
31,000 x 2/100 = X
31,000 x 0.02 = X
Thus, the multiplier for this situation is 0.02.
B)
31,000 x 1.02 ^ 4 = X
33,555.39 = X
Thus, the cost in 4 years will be $ 33,555.39.
C)
31,000 x 1.02 ^ N = X
Here, N represents the number of years over which the price increase will be calculated, and X represents the price after that number of years.
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
Answer: lesser x = 1/5 greater x = 4
Step-by-step explanation:
HELP ME NOW1)
Sheila makes stuffed peppers. The model shows the ratio relationship for the ingredients.
Peppers
Cups of Rice
7
What is the ratio of cups of rice to peppers?
Choose all the correct answers.
fo
5:7
O 7:5
07:12
O 5 to 7
O 7 to 5
Answer:
3 and 5
Step-by-step explanation:
What is 11 7/20 in decimal form?
Answer:
the answer is 11.25
Step-by-step explanation:
Convert the proper fraction to decimal: Divide the numerator by the denominator
7 ÷ 20 = 0.35
Add this decimal number to the whole number of the mixed fraction
11 + 0.35 = 11.35
A bag contains 6 red marbles, 4 black marbles, and blue 5 blue marbles. A marble is picked without looking into the bag. Determin the probobility of picking out a blue marble
Answer:
5/15
(1/3 if u want it simplified)
(about 33.3 % if you want percentage)
Step-by-step explanation:
6 + 4 + 5 = 15 total marbles
There are 5 blue marbles.
The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
Step-by-step explanation:
Answer:
5.573.75
Step-by-step explanation:
because math
What is the area of this figure?
Enter your answer in the box.
Answer:
20
Step-by-step explanation:
add 3ft+3ft+11ft+3ft and that's your answer
What is the difference between the first image and the second??
Answer:
There is only one image
Step-by-step explanation:
The graph shows a proportional relationship. Which equation matches the
graph?
A. y = 2
B. y = x
C. y = 4x
D. y = x
Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown.
Answer:
20=1.50(6)+2.00(4)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Liam, Sarah and Emily shared some money in the ratio 3:6:8
Emily got £80 more than Liam.
How much money did Sarah get?
There are 1420 students enrolled at Senn. If 60% of these students walk to school, how many students are walking to school?
I need an explanation also :)
Answer:
852 students walking to school
Step-by-step explanation:
Lets start with a simple example so you can get it
if 60% of 100 students walk to school that means
60 students walk to school... right??
so lets simplify it more that means you have multiplied 100 (students) by 60%
or [tex]\frac{60}{100}[/tex] (note: you can say that 60% is equal to [tex]\frac{60}{100}[/tex] )
so the problem told 60% of 1420 students walk to school that means we should
do this: [tex]1420*\frac{60}{100} = 852[/tex]
Answer:
852 walk to school
Step-by-step explanation:
i got this because i divided the 1420 into 10 which became a 142, multiply by 6 and you get 852
also you could
it is really simple also, all you have to do is multiply the number of student, S times the precent of students who walk, so s times w, which is 60 precent turend into .6 precent so 1420 x .6
What is the volume of the rectangular prism?
How can you find f(4) if f(x)=7x^(2)-5
Answer:
107
Step-by-step explanation:
f(x)=7x^(2)-5
f(4) means that x=4
f(4)=7*4^(2)-5
= 7 * 16 -5
= 112 -5
= 107
Tanner collected 360 cans and bottles while fundraising for his basketball team This was 40% less than what Reggie collected How many cans and bottles did Reggie collect?
Answer:
Reggie collected 504 cans and bottles.
Step-by-step explanation:
40%=.40
360*.40=144
360+144=504
A rectangular prism has dimensions of 4 cm by 3 cm by 2 cm.
Area_{rectangle}=b. h
PART A
What is the surface area?
Answer:
48
Step-by-step explanation: surface area = 2 (lw + hl + hw)
2 ( 2 x2 + 5x2 + 5x2)
2 (4+10+10)
2(24)
48 cm
Step-by-step explanation:
Answer:
WHAT THE OTHER PERSON SAID
Step-by-step explanation:
Jeff and George each have a box of popcorn. How much more popcorn does the bigger box hold than the smaller box?
Answer:
there in not enough information in your question to get an answer
Answer:
Part 1: Jeff Part 2: 130
Step-by-step explanation: