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3 years ago

Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are not factors of 42

Mathematics

2 answers:

Blizzard [7]3 years ago

6 0

Answer:

5, 25, 28, 35, 56, 75 80 are not the factors of 42

kobusy [5.1K]3 years ago

6 0

Answer:

5, 25, 28, 35,

Step-by-step explanation:

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the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,

kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

One in ten students are named Joe, hence $p = \frac{1}{10} = 0.1$ .

There are 15 students in the class, hence $n = 15$ .

The probability that at least one of them is named Joe is:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059$

Then:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941$

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0

2 years ago

This trapezoid-based right prism has a volume of 30 cm 3 30 cm 3 30, start text, space, c, m, end text, cubed.What is the area o

Ne4ueva [31]

The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

Calculation of the area

Here we assume

a = 6

b = 5

c = 1

Now we know that

<h3>What is the area of the trapezoid-based right prism?</h3>

$Area=\frac{(a+b)}{2} \times c$

$Area=\frac{(6+5)}{2} \times 1\\Area=\frac{11}{2}\\ Area=5.5\\Area=6$

= 6

Hence, The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

To learn more about an area here:

brainly.com/question/24682685

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2 years ago

Write the first 5 terms of the arithmetic sequence whose first term is 8 and whose common difference is -6.

n200080 [17]

The formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
an=nth term
a=first term
n=number of terms
thus our first term will be:
a1=8
a2=8+(2-1)(-6)=2
a3=8+(3-1)(-6)=-4
a4=8+(4-1)(-6)=-10
a5=8+(5-1)(-6)=-16
a5=-16
thus the sequence will be:
8,2,-4,-10,-16...

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3 years ago

Jane needs to memorize words on a vocabulary list for Korean class. She has 18 words to memorize, and she is two-thirds done. Ho

alexgriva [62]

2/3 of 18...." of " means multiply
2/3 * 18 = 36/3 = 12....she has memorized 12 words so far

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3 years ago

During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she d

elena-14-01-66 [18.8K]

There is 2 cups in a pint

So the pints would equal 5 cups

Add the 1/2 cup.

Therefore she drank 5 1/2 cups

3 0

3 years ago