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Papessa [141]
3 years ago
8

Least common multiple of 27.

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

the least common multiple of 27 and 42 is 378

Step-by-step explanation:

(27*42)/3

1134/3

378

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In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 g
KIM [24]

Answer:

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

All girls from the first group:

20 students, so N = 20

10 girls, so k = 10

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163

All girls from the second group:

20 students, so N = 20

5 girls, so k = 5

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006

All girls from the third group:

20 students, so N = 20

8 girls, so k = 8

5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}

3.52 \times 10^{-9} = 3.52 \times 10^{-7}\% probability that all the 15 students selected are girls

7 0
3 years ago
Isaac is making sandwiches for a group of friends. He needs 3 ounces of meat for each sandwich.
lidiya [134]

Answer:

Part A: x=3

Part B: 6oz

3x=18

Step-by-step explanation:

Part A-

So, he needs 3 oz for each sandwich.

This gives us 3 for the equation.

The question says that we need an equation for this.

If we need an equation, we could write something like

x=3

There's really not anything else that we could write here.

Part B-

We now have something that we need to write.

He has 18 oz for sandwiches.

Each sandwich needs 3 oz.

So, we can write something like 3x=18

Then we could solve the equation by dividing both sides by 3.

This will leave us with x=6

Hope this works!

6 0
2 years ago
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What is the lcm of 8, 10 and 20
mestny [16]

Answer:

40

Step-by-step explanation:

Multiples of 8:

8, 16, 24, 32, 40, 48, 56

Multiples of 10:

10, 20, 30, 40, 50, 60

Multiples of 20:

20, 40, 60, 80

8 0
3 years ago
5 times the sum of 7 and 23
Serga [27]
The answer to this is 150.
4 0
3 years ago
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HURRRRYYYY PLLSSS!!!! What are the slope and the y-intercept of the linear function that is represented by the table?
Naya [18.7K]

Answer: The slope is   -2/5 and the y-intercept is -1/3

4 0
2 years ago
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