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STatiana [176]
3 years ago
8

Suppose we want to choose for letters without replacement from 18 distant lovers how many ways can this be done if the order of

the choices does not matter
Mathematics
1 answer:
Lelu [443]3 years ago
7 0

Answer:

This can be done in 3,060 ways.

Step-by-step explanation:

Letters are chosen without replacement, and the order does not matter, which means that the combinations formula is used.

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)!}

In this question:

Four letters from a set of 18. So

C_{18,4} = \frac{18!}{4!14!} = 3060

This can be done in 3,060 ways.

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The new pastry chef at Jackson's Bakery specializes in sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet
Nataliya [291]

Answer:

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is: = $2,238

Step-by-step explanation:

Step One:

To arrive at the total amount made from the sheet cakes, we have to assign the prices of each type of cake. They are:

  1. Small Sheet Cake - $36
  2. Medium Sheet Cake - $46
  3. Large Sheet Cake - $56

Step Two:

If the new pastry sold 17 small, 11 medium and 20 large sheet cakes respectively, the total money made comes to the following:

= (36 x 17) + (11 x 46) + (56 x 20)

= 612 +  506 + 1120

Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is:

= $2,238

Cheers!

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3 years ago
Suppose a manager plans to sample 10 items from a population of 100 items and would like to determine the probability of observi
aev [14]

Answer:

a) We conclude that the menager use the hypergeometric distribution.

b) We conclude that the menager use the binomial distribution.

Step-by-step explanation:

a) We know that in probability theory, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement.

We conclude that the menager use the hypergeometric distribution.

b) We know that the binomial distribution describes the probability of k successes in n draws with replacement.

We conclude that the menager use the binomial distribution.

4 0
3 years ago
How do I solve for the missing length? Please explain!! I’m struggling
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Let call it x 
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Need help please! What are the measurements of angles 1 & 2
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1 42.5* and 3 95*, the sum of all the angles =360*, so Angle J = L and M=K, Angle 1 =M/2
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What is the percent change of a price decreased from $25 to $10 ?
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25  -  10        1             1                5           2                 3
_______      ___    -    ___          ____  -   ____   =      ___    =    .15  =  15%

   100             4             10            20         20                20
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3 years ago
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