A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg
rolls, or French fries. He uses a computer program to randomly select three dishes for Monday's lunch.
What is the theoretical probability that applesauce and broccoli will both be offered on Monday?
10%
20%
50%
80%

Answers

Answer 1

Answer:

B: 20%

Step-by-step explanation:

Answer 2

The theoretical probability that the applesauce and broccoli dishes will both be offered on Monday is given by P ( A ) = 20 %

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the theoretical probability that the applesauce and broccoli will both be offered on Monday be P ( A )

Now , the equation is

The total number of dishes = 6 dishes

The combination of selecting 3 dishes out of 6 is given by

⁶C₃ = 20 ways

Now , the combination of selecting 2 dishes on Monday = 4 ways

So , P ( A ) = 4 / 20

P ( A ) = 1/5 = 0.20

Therefore , the applesauce and broccoli will both be offered on Monday is given by 20 %

Hence , the probability is 20 %

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Related Questions

there are 5 times as many tulips as rose bushes in a garden.there are 15 tulips . how many rose bushes are in the garden/

Answers

Answer:

There are 3 roses in the garden.

Step-by-step explanation:

If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.

Jada walks up to a tank of water that can hold up to 10 gallons when it is activated a dream empty water from the tank at a constant rate when Jayda first season take it contain 7 gallons of water three minutes later the tank contains 5 gallons of water at what rate is the amount of water in the tank changing you signed numbers and include the unit of measurement in your answer

Answers

Correct question:

Jada walks up to a tank that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water. At what rate is the amount of water in the tank changing? use a signed number, and include the unit of measurement in your answer.

Answer: - 2/3

Step-by-step explanation:

Given the following :

Amount of gallon tank can hold = 10

tank drains at a constant rate :

First look tank contains 7 gallons

After 3 minute,

Tank contains 5 gallons

Thus signifies a 2 gallon decrease in volume of water after 3 minutes

Therefore, the rate of change =( change in volume) / time

Rate of change = (final volume - initial volume ) / 3

(5 - 7)/ 3 = - 2/3

A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

A. What is the slant height of the pyramid?

B. What is the surface area of the composite figure?

HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

C. How many cubic yards of concrete are needed to make the planter?

Answers

Answer:

Step-by-step explanation:

A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore

Opposite side = 2/2 = 1 yrd

Slant height, L = hypotenuse

Adjacent side = 2 yrd

Hypotenuse² = opposite side² + adjacent side²

L² = 1² + 2² = 5

L = √5 = 2.24 yrds

Slant height = 2.24 yrds

B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24

Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²

Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²

surface area of composite figure = 20 + 8.96 = 28.96 yrds²

C) volume = 1/3 × base area × height

Volume = 1/3 × 2² × 2 = 2.67 yrds³

solve for c. 4(3+c)+c=c+14

Answers

Answer:

c = 1/2

Step-by-step explanation:

Solve for c:

c + 4 (c + 3) = c + 14

4 (c + 3) = 4 c + 12:

4 c + 12 + c = c + 14

Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:

(c + 4 c) + 12 = c + 14

c + 4 c = 5 c:

5 c + 12 = c + 14

Subtract c from both sides:

(5 c - c) + 12 = (c - c) + 14

5 c - c = 4 c:

4 c + 12 = (c - c) + 14

c - c = 0:

4 c + 12 = 14

Subtract 12 from both sides:

4 c + (12 - 12) = 14 - 12

12 - 12 = 0:

4 c = 14 - 12

14 - 12 = 2:

4 c = 2

Divide both sides of 4 c = 2 by 4:

(4 c)/4 = 2/4

4/4 = 1:

c = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

Answer: c = 1/2

The watch Bea would like to buy costs $10 less than 2
times the amount she has saved. The watch costs $50.
How much money does Bea have saved?

Could whoever answers pls tell the equation used?

Answers

Answer: Bea has $30 saved

Step-by-step explanation:

Add 10: 50+10=60

Divide by 2: 60/2=30


Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.

cos A = 0.31, sin B = 0.89, tan C = 0.52

Answers

Answer:

1. ∠A =  71.9°

2. ∠B =  62.9°

3. ∠C = 27.5°

Step-by-step explanation:

By using a calculator, we have;

cos A = 0.31

sin B = 0.89

tan C = 0.52

1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;

∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.

2. For sin B = 0.89, we have;

∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.

3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;

∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.

In how many ways can you cut out and rearrange the letters of the
word MATH? Show your samples or ways.

Answers

Answer:

HAT       AM

HAM

MAT

AT

Step-by-step explanation:

(if you can repeat the letters)

THAT

hopefully this helps and i didnt miss any words

Select all the expressions which are equivalent to
-4/3p - 2/5

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are B and D.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that are equivalent to -4/3p - 2/5 are:

-2/5 -4/3p-4/3p + (-2/5)

Hence, the correct options are B and D.

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What is the solution?

Answers

Answer:

Answer: w=2 and 2=6

Step-by-step explanation:

If you substitute 6 and 2 in for w they both work, making c the correct answer

Step-by-step explanation:

I did the work on a piece of paper and attached the picture.

Hope this helps :)

Solve for the value of p.

2 x p = 34

Answers

Answer:

p = 34/2

p= 17

thank you.

An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.

Answers

Answer:

Option given in the top right.

Step-by-step explanation:

If an acute triangle is rotated about a point,

- Angles of the transformed triangle remain unchanged.

If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],

- Measure of sides of the image will be dilated by a scale factor of 0.5.

Therefore, statement that compares ΔABC to ΔA'B'C' will be,

The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.

Option given in the top right is the answer.

The data set shows the numbers of hours that employees at a certain shop worked in one week. What is the mean number of hours they worked that week? 30 15 32 48 16 51 30 35 32 31

Answers

Answer:

mean number of hours worked = 32

Step-by-step explanation:

The mean or average of a set of data is the sum of the individual data divided by the number of entries.

Therefore, the mean number of hours worked is calculated as follows:

sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320

Number of entries = 10

mean number of hours worked = sum of the number of hours ÷ Number of entries

mean number of hours worked = 320 ÷ 10 = 32

How much money was raised with the 100 tickets solved?

Answers

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

Sorry if it's too late, I hope it helps. :)

What is the surface area of a cube in which each face of the cube has an area of 7 cm??

Answers

Answer:

42

Step-by-step explanation:

6 faces to a cube

each face has area of 7

6*7 is 42

Answer:

42 is correct

Step-by-step explanation:

give the other person brainliest

Write a quadratic equation to represent a function with a vertex of (-3, 2) that passes
through the point (-1,22). Put your equation in vertex form.​

Answers

Answer:

use phototmath

Step-by-step explanation:

In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

4/24

Step-by-step explanation:

Answer:

4/24

Step-by-step explanation:

help please!! 10 points <3

Answers

Answer:

x = 5

Step-by-step explanation:

15 / 3 =5

X=5 exactly like that person said.

Order the rational numbers from least to greatest

Answers

It’s the 3rd option. Everything with a - in front of it is smaller than 0.

Answer:

its the 3rd one

Step-by-step explanation:

you find which one is smaller and then you go to the next one up

Brainliest!!!
What is 30 divided by 5?
Really Easy!

Answers

Answer:

6

Step-by-step explanation:

Answer:

The answers 6 gorgious

Anthony played a dart game using the dartboard shown above. Anthony had 5 throws and then added his points. He hit the -6 twice, the 10 once, the 2 once, and the -4 once. How many points did Anthony earn?

Answers

Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?

Answers

I think I don’t know sorry

Answer:

Can’t really understand your question!!

Consider the quadratic function f(x)= 2(x + 4)² − 6. Does the graph open up or down

Answers

Answer:

up

Step-by-step explanation:

a is positive

True or False: "What is the height of the tallest person in my class" is a statistical question

Answers

The answer is true! I hope that helped

Answer:

it is true

Step-by-step explanation:

because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.

hope this help :-)

30 POINTS!!!
The math club surveyed 100 students about the number of math courses in which they were enrolled and the weight of their backpacks. Classify the random variables from the survey.

Number of math courses, discrete; weight of backpack, discrete
Number of math courses, discrete; weight of backpack, continuous
Number of math courses, continuous; weight of backpack, discrete
Number of math courses, continuous; weight of backpack, continuous
Unable to determine from information given

Answers

Answer:

As described, the classification of random variables should be:

Number of math courses, discrete; weight of backpack, continuous.

Hope this helps!

:)

Answer:

Number of math courses, discrete; weight of backpack, continuous

Step-by-step explanation:

Hope this helped! stay safe! ;D

Someone please help me. ASAP

Answers

Answer:

x = 6

Step-by-step explanation:

we both know you dont wanna know how you just want the answer

Answer:

6

Explanation:
Add like terms and make x alone.

I hope this helps you!!

60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️

Answers

Answer:

c

Step-by-step explanation:

cards in a pack are black or red in the ratio black : red=2 : 5
What fraction of the cards are red?

Answers

Answer:

5/7

Step-by-step explanation:

There are 5 red cards and 7 cards in total. Add the number of black card , 2, to the number of red cards, 5, to get the total number of cards. Then, put the number of red cards as the numerator an the total number of cards as the denominator.

Feel free to correct me if I'm wrong

I have Atlanta... please and thank you :)

Answers

Answer:

?

Step-by-step explanation:

Answer:

Hi! I was looking at this question and it has confused me what do you want to be answered if you let me know that would be great! Thank you.

Hope this Helps :)

Need help ASAP. WILL MARK BRAINLIEST

Answers

Answer: 150.80 inches.

Step-by-step explanation:

Answer:

75.36

Step-by-step explanation:

You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.

Two and a half pounds of Super Nutty granola cost $12. How much does one pound cost?

Answers

Answer:

4.8 dollars for 1 pound super nutty

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