An administrator at a large university is curious how students rate the quality of the athletic facilities at the university. They decide to survey a random sample of
80
8080 students who participate in the university's intramural football league. The survey shows that
54
%
54%54, percent of those asked said they were "very satisfied" with the athletic facilities.

Answer:

The fifth term is the middle term of nine, with coefficient given by all the ways of choosing  4  items out of  8 , namely the ways of choosing  4   a 's out of  8  binomial factors.

Step-by-step explanation:

The third term of the expansion is 56a⁵b³

The expression is given as:

(a + b)^8

The above expression is a binomial expression, and the nth term of the expression is:

(a + b)^n = nCr * a^(n - k) * (b)^k

Where k = 0, 1, 2.....

So,we have:

(a + b)⁸ = ⁸C₃ * a⁸⁻³ * b³

Evaluate the combination expression

(a + b)⁸ = 56a⁵b³

Hence, the third term of the expansion is 56a⁵b³

Read more about probability at:

https://brainly.com/question/251701

Answer:

After each bounce it reaches a height which is 75% of its maximum height after the previous bounce.

Step-by-step explanation:

Answer:

x= -20/3 y= -8/3

Step-by-step explanation:

x= -20/3 y= -8/3

Answer:

4%

Step-by-step explanation:

Answer:

He's incorrect

Step-by-step explanation:

lf you put -(5/12) you get -2 1/2 and 5/-12 is -0.4166 and so forth. You can tell these number's aren't the same, so always check with a culculator to make sure. In this case he is wrong.

Answer:

f(32) = 95

Step-by-step explanation:

f(32) = 3(32)-1

f(32) = 96 - 1

f(32) = 95

Hope this helps have a great day

Answer:

497.8

Step-by-step explanation:

500-2.23=497.77=497.8

Answer:

hope it helps

Answer:

416.444 pounds

Step-by-step explanation:

Drum of alcohol = 50 gallons

Convert gallon to pound

1 gallon = 8.329 pounds

50 gallons = 416.444 pounds

50 gallons drum of alcohol = 416.444 pounds of alcohol to the nearest hundredth pound.

Answer:

There is no graph included.

Step-by-step explanation:

However, the range is all the y-values (that do not repeat).

So when you look at your graph, find your y-values and write them as set. That is your answer.

Answer:

0.51

Step-by-step explanation:

Mathematically, for two individual events;

P(AnB) = P(A) * P(B)

P(A n B) = 0.6 * 0.85 = 0.51

Answer:

.51 (B)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

p(x, y) reflection on y axis = p'(-x, y)

answer:

(2,6)

step-by-step explanation:

Answer:

(2, 6)

Step-by-step explanation:

you can find the solution to a linear system by looking at the plot points they intersect at.

hope this helped!

Answer:

15

Step-by-step explanation:

hypotenuse (h) = 25

perpendicular (p) = 20

base (b) = ?

we know by using Pythagoras theorem we get

b = √h² - p²

  = √25² - 20²

  = √225

  = 15

Answer:

7 times (*) 8

Step-by-step explanation:

Product in this case means multiplication

Answer:

17

Step-by-step explanation:

it 17 trust me

Answer:

17

Step-by-step explanation:

Write the numbers least to greatest.

-15, 0, 9, 10, 17

Then, highlight the one on the very right.

-15, 0, 9, 10, 17

Have a wonderful day! :)

Answer:15.86

Step-by-step explanation:you just have to take 6.10 and multiply it by 2.6

Answer:

3, 4, 5

Step-by-step explanation:

3² + 4² = 5²

=> 9 + 16 = 25

=> 25 = 25

Answer:

Side 1: 6

Side 2: 8

Side 3: 10

6² + 8²

36 + 64

√100 = 10

Side 1: 3

Side 2: 4

Side 3: 5

3² + 4²

9 + 16

√25 = 5

The sum of the square of the base and height should be equal to the square of the third number.

Answer:

Now let n=i, and write, ui=7i-4. Hence, 3+10+17+24+31+38=∑6i=1 (7i-4).

Answer:

Now let n-i, and write, ui-7i-4. Hence, 3+10+17+24+31+38=26i-1 (7i-4).

Answer:

Each friend will get 1/9 of the pizza (I think).

Step-by-step explanation:

I believe you would divide 1/3 by 3, or in other words, multiply 1/3 * 1/3:

1/3 * 1/3 = 1/9

Have a nice day!! It would be TOTALLY RAD if I could get brainliest!!!

Answer: The 2nd one

Step-by-step explanation:

Answer:

ok so term 9 coefficent 5 term factor 1 quotient division sign sum add sign product x signf

Step-by-step explanation:

Answer:

1 ft

Step-by-step explanation:

A^2+B^2=C^2

We have A and C

So 24+B^2=25

Subtract 24 from both sides

B^2=1

Square root both sides

B=1

Answer:

7 ft

Step-by-step explanation:

eh don't wana explain but I'm 80% sure that's the answer

Answer:

132.

Step-by-step explanation:

There are a total of 12 entries.

A total of 12 people can be awarded first place. After first place has been awarded, there are 11 people remaining.

[tex]12*11 = 132.[/tex]

Therefore, there is a total of 132 different ways the prizes can be given.

Answer:

a)  median = 1,148 minutes

b)  IQR = 549.5

Step-by-step explanation:

Q1 = (952 + 866) / 2 = 909

Q3 = (1431 + 1486) / 2 = 1458.5

IQR = 1458.5 - 909.0 = 549.5

Answer:

With replacement

[tex]probability \ of \ spade = \frac{13}{52} = \frac{1}{4} \\\\ probability \ of red\ card = \frac{26}{52} =\frac{1}{2}[/tex]

[tex]probability \ of \ spade \ then \ red\ card\ without\ replacement =[/tex][tex]\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}[/tex]

Without replacement

[tex]probability \ of\ spade = \frac{13}{52} = \frac{1}{4} \\\\probability \ of \ spade\ again =\frac{12}{51} = \frac{4}{17}[/tex]

[tex]probability \ of \ spade \ then \ red\ card\ without\ replacement = \frac{1}{4} \times\frac{4}{17} =\frac{1}{17}[/tex]

Answer:

haha um make conversation

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

80 x 0.6 = 48