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4 years ago

What is the common denominator as a fraction of 8/21

1 answer:

4 0

How to reduce (simplify) ordinary fraction 8/21? Fraction can't be reduced (simplified). 8/21 = 0.380952380952; Result written as a positive proper fraction and a decimal number. Ordinary (simple, common) math fraction reducing to lowest terms (simplifying), answer with explanations below

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In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha

mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0

3 years ago

Pls help ;-; Student #3:

Setler79 [48]

Solved the inequality correctly and graphed their solution correctly.

8 0

3 years ago

Read 2 more answers

-5(2 × -6) inverse operation

Gekata [30.6K]

Answer:

Step-by-step explanation:

-5(2×-6)

-5(-12)

It should be correct

5 0

2 years ago

A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght

expeople1 [14]

Answer:

$8.5m^{2}+ m -5$

Step-by-step explanation:

Since perimeter, $P=19m^{2}+ 2m -10$ and we know that P=2(l+w) then $P=2(l+m^{2})=2l+2m^{2}$

The length will be $2l=19m^{2}+ 2m -10-2m^{2}=17m^{2}+ 2m -10$

Now $l=8.5m^{2}+ m -5$

6 0

3 years ago

A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too h

Marat540 [252]

Answer:

P value is 0.1932

conclusion is that find value P greater than hypothesis test at the 0.05 level

Step-by-step explanation:

Given data

registered organ donors P = 40%

sample n = 200

registered organ donors x = 74

hypothesis test α = 0.05

to find out

P-value and state a conclusion

solution

we take a trail p less than 40 % i.e 0.40

so p = x/n

p = 74 / 200 = 0.37

so we find here Z value i.e

Z = p - P / √(PQ/n)

here Q = 1-p = 1-0.40 = 0.60

so Z = 0.37 - 0.40 / √(0.40×0.60/200)

Z = - 0.866

so p value for Z (-0.866) from z table

P value is 0.1932

and conclusion is that find value P greater than hypothesis test at the 0.05 level

6 0

3 years ago

Read 2 more answers