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4 years ago

find the number of possible combinations choose one of three books and one of eight CDs to bring on a bus trip

Mathematics

2 answers:

SVEN [57.7K]4 years ago

6 0

There is a possibility of 24 combinations I believe

maks197457 [2]4 years ago

5 0

There are 3 possibilities when choosing 1 of 3 books.
There are 8 possibilities when choosing 1 of 8 books.
Events are independent of each other so "and" would be to multiply.
3 × 8 = 24 possible combinations

You can also see by writing out the possibilities..
Say names of books are {A,B,C} and names of CD's are {1,2,3,4,5,6,7,8}
A1, A2, A3, A4, A5, A6, A7, A8
B1, B2, B3, B4, B5, B6, B7, B8
C1, C2, C3, C4, C5, C6, C7, C8

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We have to choose 5 people to form a student government. We have to pick 5 people out of 7 girls and 5 boys.

qwelly [4]

Answer:

The probability of picking at least three boys is $\frac{5}{41}$ .

Step-by-step explanation:

We have to choose 5 people to form a student government.

We have to pick 5 people out of 7 girls and 5 boys.

What is the probability that at least 3 boys are a part of the student government?

The probability of picking 5 people out of 12 girls and boys = $\frac{5}{12}$

The probability of picking at least 3 boys excludes the probability of picking 3 girls. The probability of picking 3 girls = $\frac{3}{7}$

The probability of picking at least 3 boys = 1 - $\frac{3}{7}$ = $\frac{2}{7}$

The probability of picking 5 people and the probability of picking at least 3 boys = $\frac{5}{12}$ × $\frac{2}{7}$ = $\frac{5}{41}$

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3 years ago

Help ASAP!!! A cayenne pepper stalk produces 4 peppers without adding fertilizer. The agriculture department establishes that th

LiRa [457]

1. For every ounce of fertilizer 2.5 more pepper pods can be expected.

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3 years ago

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Which is an estimate of _/75<br> nearest whole number?

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Answer:

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3 years ago

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3 years ago

Determine whether each relation is a function. If so, provide the domain and range.

goldfiish [28.3K]

Answer:

a. Function: Yes

Domain = 1, 5, 10, 11, 14

Range = 6, 50, 150, 176, 266

b. Function: Yes

Domain = All positive integers

Range = All positive integers

c. Function: The relation is not a function

Step-by-step explanation:

A function is a relation where each input value has only one output value

a. The given data are presented as follows

$\begin{array}{cc}Width \, (m)&Area \, (m^2)\\1&9\\5&50\\10&150\\11&176\\14&266\end{array}$

For each value of the input variable, the width, there is exactly one out put variable, therefore, the relation is a function

Function; Yes

The domain, the input values, includes; 1, 5, 10, 11, 14

The range, the output, values, includes; 6, 50, 150, 176, 266

b. Hours worked versus salary

$\begin{array}{cc}Hours \ worked &Salary\\0&0\\10&\$300\\20&\$600\\30&\$900\\40&\$1200\end{array}$

For each value of the input variable, hours worked, there is exactly one out put variable, therefore, the relation is a function with the following equation;

Salary = $30 × Hours worked

Function; Yes

The domain, the input values, includes; All positive integers

The range, the output, values, includes; All positive integers

c. Height versus age

$\begin{array}{cc}Height \, (cm)&Age\, (years)\\160&20\\160&25\\160&30\\160&35\\160&40\end{array}$

For each value of the input variable, the height, there are more than one out put variable, the age, therefore, the relation is not a function

Function; No

7 0

3 years ago