in how many ways can 4 mangoes and 3 apples be distributed among 7 children if each child receives only 2 fruit?​

Answers

Answer 1

solution

this is what I did. total number of ways without any restriction =900. we have to subtract the case when at least one child doesn't get any fruit. let that be C1∪C2∪C3 and we use the principle of mutual inclusion and exclusion to find that. C1∪C2∪C3=C1+C2+C3−(all two intersections)+3 intersections (no one gets a fruit case) =3⋅60−3+1=178 so case where each child gets at least one fruit =900−178=722.

Is this right, someone saying answer =49


Related Questions

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

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Answer:

a change in shape or object by turning it

HOW LONG IS PQ?
special right triangles khan academy

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Answer:

Step-by-step explanation:

The side opposite to the angle 30 degree in right triangle is half of hypothenuse.

Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 10 points
I will mark you as Brillant if you answer it

Answers

Step-by-step explanation:

0/1 , 1/1

Multiply there denominators with any number...

0/1×60=0/60

1/1××60=60/60

Now,

You have many choices...

1/60,10/60,30/60,2/60,5/60........so on....

Is (4, 3) a solution to the inequality 7x + 5y = 15?
yes
no

Answers

Answer:

no

Step-by-step explanation:

7x+5y=15

(x,y)

(4,3)

put in 4 for x and 3 for y

7(4)+5(3)=15

43=15

This equation is impossible

Hope that helps :0

Step-by-step explanation:

7x+5y=15 (x=4,y=3)

7(4)+5(3)=15

28+15=15

43>15

they are no equal

follow me

Someone please helppppp

Answers

Answer:

the correct answer is b) 4

Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the college is 96 millimeters wide in the drawing, how wide is the actual building?

Answers

Answer:64 Meters

Step-by-step explanation:

Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't remember which coordinate pair is which. What could be an equation of the circle? Explain your answer.

Answers

9514 1404 393

Answer:

  (x +3)² +(y -2)² = 185

  (x -10)² +(y +2)² = 185

Step-by-step explanation:

One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.

The radius can be found from the distance formula:

  r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185

The circle formula is ...

  (x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r

The above equations and the ones shown in the attachment are possibilities.

Solve for the area of the smaller
shape.
Round to the nearest TENTH.

Answers

31 I think I don’t really remember cause I’m not working on area anymore

Write a recursive formula and an explicit formula for the following arithmetic sequence.
5, 3, 1, -1, ...
A recursive formula is a1 = , an = |
(Simplify your answers. Use integers or decimals for any numbers in the expressions.)
An explicit formula is an =
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Answer:

 

Step-by-step explanation:

The district manager of four different restaurants wanted to investigate whether the four restaurants differed with respect to customers ordering dessert or not based on family classification (with children or without children). Independent random samples of 100 customers who ordered dessert were selected from each restaurant, and the customers were identified as either being with children or without children. After verifying the conditions for the appropriate hypothesis test, the manager calculated a chi-square test statistic of 6.45 with an associated p-value of 0.092. Based on the p-value and a = 0.05, what conclusion should the manager make regarding the proportion of customers who order dessert at each restaurant and the customers' family classification?
A. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
B. There is convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
C. There is not convincing statistical evidence to prove that the proportion of customers who order dessert at each restaurant is not the same based on family classification.
D. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is the same based on family classification.
E. There is not convincing statistical evidence to suggest that the proportion of customers who order dessert at each restaurant is not the same based on family classification.

Answers

Answer:

E

Step-by-step explanation:


[tex] \sqrt[3]{4( \sqrt[3]{6 + \sqrt[3]{10)} } } [/tex]

Answers

Answer: 77824

Step-by-step explanation:

Mark rows a boat 8 miles an hour in calm water. When the rate of a river's current is 3 mph, it takes Mark 2 hours longer to row a given distance upstream than to travel the same distance downstream. How long will it take him to row downstream? How many miles will he row in total? Time: Distance:

Answers

Answer:

utprirtdufyfohxhcf2667566596 y _&÷&8€5697= 34 minutos y el no te

Which of the following cannot be the side lengths of a triangle?

10, 12, 18

9, 9, 10

3, 11, 15

10, 15, 20

Answers

Answer:

3, 11, 15

Step-by-step explanation:

The two shorter sides add up to 14, which is smaller than 15, therefore making the triangle impossible as the sum of the two smaller sides have to be larger than the longest side

What is the solution of 4x + 10 = 30?
X =

If 2 people answer then I’ll mark one of them brain list(that give me the correct answer)

Answers

HEY
so first you have to add the like terms so move 10 to the other side and if move numbers over the equal sign it changes

So it will become
4x= 30 - 10
Then subtract

It’s 4x=20

Then u have to remove the 4 so u divide both sides by 4

4x/4 = 20/4

4/4 is 1 but u don’t put the 1 if there is a X so it’s just x

X=20/4

Now u divide the 20 with 4
It’s 5

So
X=5

Hope it helps!

Solve the equation for solutions over the interval ​[0°​, 360°​). 7tanθ−7/3cotθ=0

Answers

Answer:

Step-by-step explanation:

[tex]7\tan \theta-\frac{7}{3}\cot \theta=0\\\tan \theta=\frac{1}{3} \cot \theta\\\tan^2\theta=\frac{1}{3}\\\tan \theta=\pm \frac{1}{\sqrt{3}}\\when ~\tan \theta=\frac{1}{\sqrt{3}}=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-\frac{1}{\sqrt{3}}=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ[/tex]

solution set is {30,150,210,330}

At the school fall festival, the student council sold sodas as a fundraiser. The table below shows the number of sodas they sold and the cumulative total money.

Sodas Sold Money Collected
0 $0.00
2 $3.00
5 $7.50
9 $13.50
10 $15.00

Based on the information, what is the price per soda?
A.
$1.50 per soda
B.
$0.50 per soda
C.
$2.25 per soda
D.
$2.50 per soda

Answers

Answer A is correct

Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.

Answers

Answer:

Lateral area -288. Surface area-96

Step-by-step explanation: teacher told me

Joe has a goal to practice his clarinet for 4 1/2 hours per week the list below shows the number of hours does practice this week so for Monday one and a half Wednesday 1 1/4 Thursday one how many more hours does Joel need to practice this week to meet his goal.

Answers

Answer:

0.75 hours more

What is the formula to find the area for a square, trapezoid, triangle,and a parallelogram​

Answers

square=a^2
trapezoid: a+b over 2 times height
triangle=bxh divide by 2
parallelogram= bxh

Answer:

for square its A=a2

for trapezoid its A=a+b/2h

for triangle A=hbb/2

for parallelogram A=bh

Step-by-step explanation:

Each figure below represents a fraction. Which figure is NOT equivalent to the others

Answers

The full question with the answer options is as follows:

Each figure below represents a fraction. Which figure is NOT equivalent to the others?

the answer options are as follows:

a.  [tex]\frac{2}{3}[/tex]

b.  [tex]\frac{4}{6}[/tex]

c.  [tex]\frac{3}{4}[/tex]

d. [tex]\frac{8}{12}[/tex]

Answer:

The correct answer is c:

Step-by-step explanation:

To know when two or more fractions are equivalent, we must multiply the numerator of one fraction by the denominator of the other fraction, the result must be the same value.

[tex]\frac{2}{3} x \frac{4}{6}[/tex] =   (2x6) =12   ;  (3x4)=12

[tex]\frac{2}{3} x \frac{8}{12}[/tex] = (2x12)=24 ;    (3x8) =24

[tex]\frac{4}{6} x \frac{8}{12}[/tex] = (4x12)=48;     (6x8)=48

Solve each equation by taking square roots : NEED THIS ASAP WILL GIVE BRAINLIEST

Answers

Answer:

1.) M=9,-9  2.) x=10,-10  3.) n=3,-3  4.) x=2,-2

Step-by-step explanation:

Two old RSM students were standing 10 ft apart when they spotted Mrs. Rifkin. If they immediately run in opposite directions at the speeds of 150 feet per minute and 160 feet per minute respectively, how many minutes will pass before they are 1870 feet apart?

Answers

Answer:

6

Step-by-step explanation:

Seeing that the two students are running aside from

each other. We can add the speeds together.

We can also subtract 10 feet from our goal of 1870

they are already feet apart.

1870ft / (150+1650) ft per min

we are left with our answer 6

Hope this helps!

Answer:

5.96 minutes :)

A ride in an amusement park features a swinging ship suspended from a height of 50 feet. The motion of the ship can be modeled by the graph below, where x represents the time, in seconds, since the start of the ride, and f(x) represents the angle, in radians, that the center of the ship makes with respect to the equilibrium position.

Select all the correct answers.

Answers

Answer: The first and last options are correct.

f(x) = pi/4 cos (pix/5 - pi/2)

f(x) = pi/4 sin (pix/5)

Step-by-step explanation

The graph shows that A = pi/4.

B = 10, so the period = 2pi/10 = pi/5.

sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.

Hope this helps :)

The correct answer is f(x) = π/4 cos (πx/5 - π/2) and f(x) = π/4 sin (πx/5).

option (A) and (D) are correct.

It is given that height of 50 feet and graph is given.

It is to find f(x).

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph shows that A = π/4.

B = 10, so the period = 2π/10 = π/5.

sin and cos are co-functions, so a phase shift of -π/2 makes the two functions equal to each other.

So, the option are (A) and (D).

Learn more about graph here:

https://brainly.com/question/23004564

#SPJ2

A lie detector is known to be 4/5 reliable when the person is guilty and 9/10 reliable when the person is innocent. If a suspect is chosen from a group of suspects of which only 1/100 have ever committed a crime, and the test indicates that the person is guilty, what is the probability that he is guilty?

Answers

Answer:

0.0748 = 7.48% probability that he is guilty

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests indicates guilty

Event B: Person is guilty

Probability that the test indicates that the person is guilty:

4/5 = 0.8 of 1/100 = 0.01(person is guilty)

1 - 0.9 = 0.1 of 1 - 0.99(person is not guilty). So

[tex]P(A) = 0.8*0.01 + 0.1*0.99 = 0.107[/tex]

Test indicates guilty and the person is guilty;

0.01 of 0.8. So

[tex]P(A \cap B) = 0.01*0.8 = 0.008[/tex]

What is the probability that he is guilty?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.008}{0.107} = 0.0748[/tex]

0.0748 = 7.48% probability that he is guilty

The required value is [tex]\simeq0.925 \ or \ 92.5[/tex]%.

Probability:

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.

Let [tex]T_G[/tex] and [tex]T_I[/tex] denote the test result being guilty or innocent respectively.

And, [tex]G[/tex] and [tex]I[/tex] denote that the person is guilty or innocent respectively.

Given that: [tex]P\left ( T_G\mid I \right )=\frac{4}{5}[/tex]

[tex]P\left ( T_I\mid I \right )=\frac{9}{10}\Rightarrow P\left ( T_G\mid I \right )=1-\frac{9}{10}=\frac{1}{10}[/tex]

[tex]P(G)=\frac{1}{100} \\ \therefore P(I)=1-P(G) \\ =1-\frac{1}{100} \\ =\frac{99}{100}[/tex]

Now, the required probability is,

[tex]P(I\mid T_G)=\frac{P\left ( T_G\mid I \right )\times P(I)}{P(T_G\mid I)\times P(I)+P\left ( T_G\mid G \right )\times P(G)}[/tex]

              [tex]=\frac{\frac{1}{10}\times\frac{99}{100}}{\left ( \frac{1}{10}\times \frac{99}{100}\right )+\left ( \frac{4}{5}\times\frac{1}{100} \right )} \\ =\frac{0.099}{0.099+0.008} \\ =\frac{0.099}{0.107} \\ =0.92523 \\ \simeq 0.925 \\ or \ 92.5%[/tex]

Learn more about the topic of Probability:  brainly.com/question/26959834

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ REPORT LINKS OR PEOPLE ANSWERING FOR POINTS

Answers

Answer:

B

Step-by-step explanation:

Trust

finding missing angles in triangles worksheet answers house

Answers

Step-by-step explanation:

What exactly are you looking for?

use the graph to answer the question giving brainlest​

Answers

Answer:

I only know two sorry

A. -6

B.

C. Increasing

D.

E.

true or false
There are four quartiles altogether,

Answers

where’s the rest of the question

I need help answering this question above! Nobody is answering it

Answers

Answer:

(54, 27)

Step-by-step explanation:

2y will represent the larger number.

2y + y = 81

3y = 81

y = 27

x = 2y

x = 2(27)

x = 54

x = 54

y = 27

(54, 27)

What is 6 ( 8 + w). Use the distributive property to remove the parentheses.

Answers

Answer:

42 + 6w

Step-by-step explanation:

Basically,

6(8+w) is 6 x (8+w)

OR 6(8) + 6(w)

Hence 42 + 6w

Using the distributive property you would multiply the number outside of the parentheses by everything inside the parentheses. So 6 x 8 and 6 x w.

6 x 8= 48 6 x w=6w

Final answer: 48 + 6w
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