Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?

Answers

Answer 1

Answer:

A) 120

Step-by-step explanation:

A factorial is represented with an !

Ex: 7! = 7*6*5*4*3*2*1

In this case, we would use 5! which equals 120.

120 should be your answer.


Related Questions

One number is four times the other number. The larger number is also 87 more than the smaller number.
Find the larger number.

Answers

Answer:

116

Step-by-step explanation:

Let numbers be x and y

Then we have equations:

x = 4yx = y + 87

Comparing

4y = y + 874y - y = 873y = 87y = 87/3y = 29

Then, the larger number is

x = 4*29 = 116

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

195

Step-by-step explanation:

Divide 91/7 which is 13 and multiply that by 15 to get the value of y when x is 15

There are 12 more apples than oranges in the basket of 36 apples and oranges. How
many apples are there in the basket?​

Answers

Step-by-step explanation:

Required Answer:-Total number of fruits=36

Let

the number of oranges =x

The number of apples=x+12

ATQ

[tex]{:}\leadsto [/tex][tex]\sf x+x+12=36 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 2x+12=36 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 2x=36-12 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 2x=24 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf x={\dfrac {24}{2}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf x=12 [/tex]

Number of Apples =12+12=24

Answer:

24 apples

Step-by-step explanation:

apples = x

oranges = y

y+12 = x

x+y = 36

y+y+12 = 36

2y = 24

y = 12

x = 24

PLS GIVE BRAINLIEST

can yall plz help me with this science qustion

Answers

Answer:

True

Step-by-step explanation:

I need help
With this please

Answers

Answer:

Ima be straight up with you im 1 awnser away from getting 50 points but ill find the answer for ya

Step-by-step explanation:


1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the
rectangle

Answers

Answer:21

Step-by-step explanation:

x=length

x(x-6)=315

x^2-6x=315

x^2-6x-315=0

(x-21)(x+15)

x=21, x=-15

x cannot be negative so the only answer is 21

plsss helpppp 6x^2+4x-42

Answers

Answer:

Step-by-step explanation:

6x^2+4x-42

2(3x^2+2x-21)=0

3x^2+2x-21=0

3x^2+(9-7)x-21=0

3x^2+9x-7x-21=0

3x(X+3)-7(X+3)=0

(3X-7)(X+3)=0

So Answer is (3x-7)(X+3)

Simplify 7x(2-x)+x^3+2(x^2-6x)

Answers

The answer fam is........x^3 - 5x^2 + 2x

x-intercept=? y-intercept=? What is the slope?​

Answers

Answer: x=1 y=-3

just look where the line touches mane

10 points Four cookies cost $14. At this rate. how much will 10 cookies cost?​

Answers

Answer:$35

Step-by-step explanation:well each cookie cost $3.50 so for $14 there are only 4 cookies so for ten it will cost $35 cause 14+14=28 and you need to 2 more cookies so you will add 2 more which is $7 and $7+$28=$35.Hope I’m right

24 bhsshhtjjhkjjsmsmssyn

At the end of week 3 of my baseball team's season, our rcord is 5 wins and 7 looses. Each week after that, we wim 3 games and lose 1 game. At the end of which week will my team have first won at least twice as many games total this season as it has lost?

Answers

Answer:

9 weeks

Step-by-step explanation:

Answer :

9

Explaination

The following two-way table shows the responses from a group of people, categorized by age-group, when asked about their favorite types of vacations.

Which of the following statements is not supported by the table?
1.)More people chose relaxation than any other vacation type.
2.)Each vacation type was selected by the same number of people in the under-21 age-group.
3.)In the 21 to 35 age-group, nature was chosen by the least number of people.
4.)Of all the vacation types, nature was chosen by the least number of people.
5.)The percentage of people that chose relaxation was equal for each age-group.

Answers

Answer:

The percentage of people that chose relaxation was equal for each age-group.

Step-by-step explanation:

Answer:

5 or E- The percentage of people that chose relaxation was equal for each age group

Step-by-step explanation:

You can use the process of elimination where every other answer choice is correct except for the last one. Otherwise, the percentages for each group of age group are all different as shown on the margins, which is why it is incorrect. Therefore, that is the correct answer for this problem.  

5. My red or blue shirt club has 32 members. If the number of people wearing read shirts
is 4 less than triple the number of people wearing blue shirts, how many people are
wearing red shirts?

Answers

Answer:

(red shirt people) r - 4[tex]\sqrt[3]{b}[/tex] (blue shirt people)

Step-by-step explanation:

I don't know if you want an equation or an exact answer. I have an equation though.

I got this answer like this:

4 less is minus 4

triple is multiplication and/or times

What is 55/99 Rounded to the nearest half

Answers

Answer:  1/2

Step-by-step explanation:

Answer: 1/2 is your answer:)

Step-by-step explanation: 50 rounded to the nearest tenth is 50

99 rounded to the nearest tenth is 100 and

50 is half of 100:)

What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}?

Answers

Answer:

{24, 18, 12, 6, 0} is the range of the above function

Step-by-step explanation:

solution:

let, x= -4

f(-2) = 12-3*(-2)

= 12+12

=24

let,x= -2

f(-2) = 12-3*(-2)

=12+6

18

let,x =0

f(0)= 12-3*0

=12-0

=12

let,x=2

f(2) = 12-3*2

=12-6

=6

let,x=4

f(4) = 12-3*4

=12-12

=0

What are some important things I should put in my notes about ratios(In 6th grade so nothing to high up I wouldn't know about)​

Answers

Answer:

some tips

Step-by-step explanation:

- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.

what is.
m + 0.6 = 2.6

Answers

Answer:

m is 2 because 2.6 - 0.6 = 2 . so 2 is the answer

Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.

Which statement is true?

For every vote Phil received, Natalie received 4 votes.

For every vote Phil received, Natalie received 4 votes.

For every vote Phil received, Natalie received 3 votes.

For every vote Phil received, Natalie received 3 votes.

For every 4 votes Natalie received, Phil received 7 votes.

For every 4 votes Natalie received, Phil received 7 votes.

For every 4 votes Natalie received, Phil received 3 votes.

Answers

Answer:

Por cada 4 votos que recibió Natalie, Phil recibió 3 votos.

Step-by-step explanation:

Write the null and alternative hypotheses in words and then symbols for each of the following situations.

a. A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year.
b. Employers at a firm are worried about the effect of March Madness, a basketball championship held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They also collect data on how much company time employees spend on such non-business activities during March Madness. They want to determine if these data provide convincing evidence that employee productivity changed during March Madness.

Answers

Answer:

A) the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p^ = 0.5

Alternative hypothesis; Ha: p^ > 0.5

B) Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

Step-by-step explanation:

A) We are told that they sampled 200 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Thus, there will be a 50% chance of success for their grades to have improved and a 50% chance for it to remain the same.

Thus; p^ = 0.5

So the hypothesis in words and symbols are;

Null hypothesis: Grades have not improved for most students

Alternative hypothesis: Grades have improved for most students

Null hypothesis; H0: p = 0.5

Alternative hypothesis; Ha: p > 0.5

B) We are told that they estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc

Also, They also collect data on how much company time employees spend on such non-business activities during March Madness.

The hypotheses in words and symbols are;

Null hypothesis: During march madness, employees averaged 15 minutes per day on non - business activities

Alternative hypothesis: During march madness, employees averaged more than 15 minutes per day on non-business activities

Null hypothesis; H0: μ = 15

Alternative hypothesis; Ha: μ > 15

The Null hypothesis is the initial truth which we would like to counter using the alternative hypothesis. The Null and Alternative hypothesis for the given situation are :

1.)

Null hypothesis : There have been no change in the grade obtained by the students.

Alternative hypothesis : The grade obtained by the students have improved as students now attain better grades after attending the tutoring class

Using symbol :

[tex] H_{0} : \hat {p} = 0.5 [/tex][tex] H_{1} : \hat {p} > 0.5 [/tex]

2.)

Null hypothesis : There is no change in the productivity of employees during the period as the amount of time spent on non-business activities remains the same.

Alternative hypothesis : There is a change in productivity has employees spend more than 15 minutes engaging on non-business activities.

Using symbol :

[tex] H_{0} : μ ≤ 15 [/tex][tex] H_{1} : μ > 15 [/tex]

Learn more : https://brainly.com/question/16819441

Which of the expressions below is greater than 15? Select all that apply.

A) 4.583 + 10.673
B) 26.712 – 11.348
C) 45.768 – 28.945
D) 7.312 + 7.145
E) 11.32 + 3.11

Answers

Answer:

A

B

C

Step-by-step explanation:


The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the
horizontal, and it maintains this constant slope for 500 meters, as illustrated below. Which of the
following is the closest approximation to the change in elevation, in meters, over this 500-meter
section?
500 meters
20
A 20
B) 170
180
D 250

Answers

We are given:

a right angled triangle with the angle of elevation = 20 degrees

Hypotenuse of the Triangle = 500 m

Finding the change in Elevation:

We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle

Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees

Perpendicular = 500 * 0.342           [sin(20 degrees) = 0.342]

Perpendicular = 171 m

The closest value to 171m in the given options is 170m

Therefore, 170m (option B) is correct

Which expression is equivalent to 2cos^2(x/2)- cos(x)?
Edge 2020

Answers

Given:

The expression is

[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]

We know that,

[tex]\cos x=2\cos^2 (\dfrac{x}{2})-1[/tex]

Using this formula, the given expression can be written as

[tex]2\cos^2(\dfrac{x}{2})-\left(2\cos^2(\dfrac{x}{2})-1\right)[/tex]

[tex]=2\cos^2(\dfrac{x}{2})-2\cos^2(\dfrac{x}{2})+1[/tex]

[tex]=1[/tex]

Therefore, the given expression is equivalent to 1.

Answer:

B

Step-by-step explanation:

The density D of an object is the quotient of its mass m and its volume v

Answers

To find Density you have to divided mass (grams)/volume (mL)

Explain to me in words how you would find the slope of this line and explain how you got your answer

Answers

Answer: m= 5/3

Step-by-step explanation: the point were at (-1,2) (-4,-3)

m= y2-y1/ x2- x1

m= -3-2/ -4 (-1)

m= -5/-3

m= 5/3

( hope this helps)

PLEASE HURRY What is the slope of the line?

Group of answer choices

y = -3/4x - 1

y = 4/3x - 1

y = -3/4x + 1

y = -4/3x + 1

Answers

It’s y=-3/4x-1 because it is

Explain to me in words how you would find the slope of this line

Answers

Answer:

Step-by-step explanation:

go from one point to the other. From the left point to the right point you are running across (to the right) three times. Then you are ¨rising¨ (going down) once. going to the right is positive. If you are going down its negative. Vise versa. The formula is Rise/Run. your answer would be -1/3. the one is negative because it went down.Then divide it and you have -0.333. I hope I helped!

After simplifying the following expression, the coefficient of the m^2 term will be ______.
6mn^2 + 3m^2 + 16m^2 - 6m^2 - 5nm^2
The solution is ______

Answers

Answers:

After simplifying the following expression, the coefficient of the m^2 term will be  13  

The solution is  13m^2 + 6mn^2 - 5nm^2  

====================================================

Explanation:

Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)

You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.

The coefficients 3, 16 and -6 combine to 3+16-6 = 13

Meaning that 3m^2+16m^2-6m^2 = 13m^2

----------------

There are no other like terms that pair up.

The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2

So we cannot combine 6mn^2-5nm^2. We leave it as is.

Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2

Help!!!! I don't get this!!!!!!

Answers

Answer:

C

Step-by-step explanation:

One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16,   the amount of ounces in one pound.

It’s C

Because if you see you I searched it up and it said that the answer was C simple

Researchers are interested in assessing if there is an association between dietary cholesterol intake and high blood pressure. The following data was summarized:

Blood Pressure
Dietary Cholesterol High Low Total
High 159 91 250
Low 78 172 250
Total 237 263 500

Required:
a. Estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol.
b. Compute an estimate of the odds ratio of high blood pressure for the two groups
c. Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.

Answers

Answer:

A) Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  The odds ratio shows that  BP is directly proportional to Dietary cholesterol

Step-by-step explanation:

A) estimate the conditional probabilities of high and low blood pressures given the level of dietary cholesterol

Conditional probability for a high BP given that dietary cholesterol is high as well

P = 159 / 250

Conditional probability for a high BP given that dietary cholesterol is low

P = 78 / 250

Conditional probability for a low BP given that Dietary cholesterol is high

P = 91 / 250

Conditional probability for a low BP given that Dietary cholesterol is low

P = 172 / 250

B) Compute an estimate of the odds ratio of high blood pressure for the two groups

High BP for High dietary cholesterol

 = 159 / 237

High BP for low dietary cholesterol

 = 78 / 237

C)  Interpret the odds ratio and determine if high blood pressure is related to dietary cholesterol.

The odds ratio shows that  BP is directly proportional to Dietary cholesterol as seen in the the odds ratio that ratio between High BP and High Dietary cholesterol is higher than other odds ratios

-3a-3=-2n+3p solve for a

Answers

Answer:

a=−2n3−p−1a=-2n3-p-1

Answer:

a=−2n3−p−1a=-2n3-p-1

Step-by-step explanation:

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