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notka56 [123]
3 years ago
8

describe how making a list can help you solve a math problem.Write a problem that could be solved by making a list.

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0
Making a list helps organize the information in a word problem that can otherwise be overwhelming and confusing. Making lists put out a straightforward guide and help you break down the problem so you really understand what you need to do. 
Word problem:
Maya has $55 and she gives her brother $10. She also gives her friend $15 and her sister $5. Her sister pays her back fully but her brother only pays back half of what he owed, promising to pay her back later. Her friend gives back 1/3 of what she owed, also promising to pay her back as soon as she can. How much money does Maya currently have?

In this problem, you have to process the money transactions and making a list will help you go step by step.
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1)How many ways can the letters in the word BOOKKEEPER be arranged? (Must show set-up )
sergeinik [125]
Question 1

There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are \frac{10!}{(10-6)!6!} ways of arranging the letters, which equal to 210 ways

Question 2

There are seven swimmers in total.
There are \frac{7!}{(7-1)!1!} ways of choosing the first winner, which is 7 ways
There are \frac{6!}{(6-1)!1!} ways of choosing the second winner, which is 6 ways
There are \frac{5!}{(5-1)!1!} ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner

Question 3

The probability of eating an orange and a red candy is \frac{15}{31}×\frac{9}{30}, which equals to \frac{9}{62}

The probability of eating two green candies is \frac{7}{31}×\frac{6}{30} which equals to \frac{7}{155}
3 0
3 years ago
Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of pre
Maru [420]

Answer:

<em>The large  sample n = 117.07</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

<u><em>Step(ii):-</em></u>

The Marginal error is determined by

M.E = \frac{Z_{0.05} \sqrt{p(1-p)}  }{\sqrt{n} }

0.08 = \frac{2 X \sqrt{0.75(1-0.75)}  }{\sqrt{n} }

Cross multiplication , we get

\sqrt{n}  = \frac{2 X \sqrt{0.75(1-0.75)}  }{0.08 }

√n = \frac{2 X0.4330}{0.08} = 10.825

squaring on both sides , we get

n = 117.07

<u><em>Final answer:-</em></u>

<em>The large  sample n = 117.07</em>

6 0
2 years ago
Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cakes he plans to bak
pishuonlain [190]
1st and 4th answers are correct.
3 0
3 years ago
Read 2 more answers
The second statement is the ____ of the first.
iren [92.7K]

Answer:

A. Converse

Step-by-step explanation:

The statement x=y and y=z is a

converse relation

In logic, there are different types of relation which includes

1. Inverse

2. Contrapositive inverse

3.converse

The converse is created by switching the hypothesis and conclusion just like the example given.

7 0
3 years ago
Read 2 more answers
Find the surface area of the cylinder formed by the net. Use 3.14 for π.
sineoko [7]

Answer:

138.16 square feet

Step-by-step explanation:

The surface area of the cylinder consists of one rectangle and two circles.

1. The radius of the circle is 4 ft, then the area of the circle is

A_{circle}=\pi r^2 =\pi \cdot 4^2 =16\pi \ ft^2

2. The width of the rectangle is 1.5 ft, the length of the rectangle is the circumference of the circle.

Find the circumference:

C=2\pi r=2\pi \cdot 4=8\pi \ ft

Hence,

A_{rectangle}=1.5\cdot 8\pi =12\pi \ ft^2

3. The surface area of the cylinder is

SA=2A_{circle}+A_{rectangle}=\\ \\=2\cdot 16\pi +12\pi =32\pi +12\pi =44\pi \approx \\ \\\approx 44\cdot 3.14=138.16\ ft^2

8 0
3 years ago
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