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3 years ago

9

___Another word for a fraction. pick one of these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Ex

pression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio

1 answer:

Aleksandr [31]3 years ago

7 0

Answer: Ratio

Explanation: Ratio = Fraction

You might be interested in

In the united states, voters who are neither democrat nor republican are called independent. it is believed that 12% of voters a

Nitella [24]

Answer:

a) 0.0245 = 2.45%

b) 0.9483 = 94.83%

c) 0.6931 = 69.31%

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are independent, or they are not. The probability of a person being independent is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

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

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

And p is the probability of X happening.

It is believed that 12% of voters are independent.

This means that $p = 0.12$

Survey of 29 people

This means that $n = 29$

a. what is the probability that none of the people are independent? probability =

This is P(X = 0). So

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

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

0.0245 = 2.45% probability that none of the people are independent

b. what is the probability that fewer than 7 are independent? probability =

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

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

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X = 3) = C_{29,3}.(0.12)^{3}.(0.88)^{26} = 0.2274$

$P(X = 4) = C_{29,4}.(0.12)^{4}.(0.88)^{25} = 0.2016$

$P(X = 5) = C_{29,5}.(0.12)^{5}.(0.88)^{24} = 0.1374$

$P(X = 6) = C_{29,6}.(0.12)^{6}.(0.88)^{23} = 0.0750$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0245 + 0.0971 + 0.1853 + 0.2274 + 0.2016 + 0.1374 + 0.0750 = 0.9483$

0.9483 = 94.83% probability that fewer than 7 are independent

c. what is the probability that more than 2 people are independent? probability =

Either two or less are, or at least 3 are independent. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 2) + P(X > 2) = 1$

We want P(X > 2). So

$P(X > 2) = 1 - P(X \leq 2)$

In which

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0245 + 0.0971 + 0.1853 = 0.3069$

$P(X > 2) = 1 - P(X \leq 2) = 1 - 0.3069 = 0.6931$

0.6931 = 69.31% probability that more than 2 people are independent

3 0

3 years ago

Solv for x for all of these 1. 3x+6=21 2. 33=7x-9 3. 28=7+x need to know now please help !!!!!!

-Dominant- [34]

Answer:

<h3> $\boxed{ \sf{ \bold{1. \: \: \: x = 5}}}$ </h3>

$\boxed{ \sf{ \bold{2. \: \: x = 6}}}$

$\boxed{ \bold{ \sf{3. \: \: x = 21}}}$

Step-by-step explanation:

1. $\sf{3x + 6 = 21}$

Move constant to right hand side and change its sign

⇒ $\sf{3x = 21 - 6}$

Subtract 6 from 21

⇒ $\sf{3x = 15}$

Divide both sides of the equation by 3

⇒ $\sf{ \frac{3x}{3} = \frac{15}{3} }$

Calculate

⇒ $\sf{x = 5}$

--------------------------------------------------------

2. $\sf{33 = 7x - 9 }$

Swap the sides of the equation

⇒ $\sf{7x - 9 = 33}$

Move constant to right hand side and change it's sign

⇒ $\sf{7x = 33 + 9}$

Add the numbers

⇒ $\sf{7x = 42}$

Divide both sides of the equation by 7

⇒ $\sf{ \frac{7x}{7} = \frac{42}{7} }$

Calculate

⇒ $\sf{x = 6}$

---------------------------------------------------------

3. $\sf{28 = 7 + x}$

Swap the sides of the equation

⇒ $\sf{7 + x = 28}$

Move constant to right hand side and change it's sign

⇒ $\sf{x = 28 - 7}$

Subtract 7 from 28

⇒ $\sf{x = 21}$

Hope I helped!

Best regards!!

7 0

3 years ago

A woman earns $2700 per month and budgets $351 per month on food. What percent of her income is spent on food?

maksim [4K]

Answer is 13%

351 * 100 / 2700 = 13%

3 0

4 years ago

Read 2 more answers

Plsss help meeeeeeeee

yKpoI14uk [10]

Answer:

121

Step-by-step explanation:

the upper quartile is the left side on the box

3 0

3 years ago

Read 2 more answers

What is 5/10 + 8/100

Greeley [361]

Answer:

$\frac{29}{50}$

Step-by-step explanation:

We have two fractions and are being asked to add them both.

5/10 and 8/100 don't have the fractions, but 5/10 can be simplified to 1/2, meaning that to make the same denominator, we have to find the half of 100, which would be 50. Now turn the fraction into 50/100.

50/100 + 8/100

58/100

This can be simplifed :

$\frac{58/2}{100/2}$

$\frac{29}{50}$

7 0

3 years ago