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RoseWind [281]
3 years ago
5

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.
Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

0.20

Step-by-step explanation:

Given : The number of side dishes for the lunch menu =6

The number of ways to select 3 dishes from 6 :

Total outcomes :                    

If applesauce and broccoli is already selected , then we need to select only one dish out of remaining 4 dishes.

Number of ways to select 1 dish from 4 :

Favorable outcomes:  

Now, the theoretical probability that applesauce and broccoli will both be offered on Monday :-

Hence, the theoretical probability that applesauce and broccoli will both be offered on Monday = 0.20

Step-by-step explanation:

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Answer:

5 1/8

Step-by-step explanation:

Just add and get a common denominator

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3 years ago
Find the slope of the line please help​
Alex777 [14]

Answer:

m = -1/3

Step-by-step explanation:

There are two ways that you can use to get this answer.

The first way is to use the graph. You can see that to get from Point A to Point B, the dots go over 1 and down 3. For the fraction, you put the amount that you go to the side (1) over the amount you go down (3) to get 1/3. Since the points go down gradually, the slope is negative, so 1/3 becomes -1/3.

The second way is to take the two points, (1, 4) and (2, 1) and subtract them. First, subtract the x-coordinate from Point B from Point A to get -1. Then do the same thing with the y-coordinates to get 3. Put the -1 over 3 because x comes before y, and you have your slope.

I hope this helped :)

8 0
3 years ago
Spartan Stadium at San Jose State University in California has a seating capacity of about 30,000. A newspaper article states th
Jet001 [13]

Answer:

Number of tickets for the Spartans = 24000

Number of tickets for the visiting team’s fans = 6000

Step-by-step explanation:

Let the no. of tickets for the visiting team’s fans be x.

so,according to the question

no. of tickets for the Spartans = 4x

total seating capacity of Spartan Stadium = 30000

now, we see that,

4x+x = 30000

5x = 30000

x = 30000/5

x = 6000

Number of tickets for the visiting team’s fans = x = 600

Number of tickets for the Spartans = 4x = 4(6000) = 24000

4 0
3 years ago
Iodine-131, a radioactive substance that is effective in locating brain​ tumors, has a​ half-life of only 8 days. A hospital pur
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The mass of substance left after 7 days is 13.09 g

The mass of substance left, N is given by

N = N₀exp(-λt) where λ = decay constant and N₀ = initial mass of substance present = 24 g and t = time

Also, λ = 0.693/t' where t' = half-life of iodine = 8 days

So, λ = 0.693/t'

λ = 0.693/8

λ = 0.086625/day

Since the mass of substance left is N = N₀exp(-λt) and we require the mass of substance after t = 7 days,

N = N₀exp(-λt)

N = 24 gexp(-0.086625/day × 7 days)

N = 24 gexp(-0.606375)

N = 24 g × 0.5453

N = 13.09 g

So, the mass of substance left after 7 days is 13.09 g

Learn more about radioactive decay here:

brainly.com/question/23705307

7 0
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What is the y-intercept of the function y = negative one-half cosine (three-halves x)?
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