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1 year ago

Which number line models the expression 1/8-(-3/4)

Mathematics

1 answer:

RideAnS [48]1 year ago

6 0

Answer:

$\frac{7}{8}$

Step-by-step explanation:

Given: $\frac{1}{8}-(\frac{-3}{4} )$

To find: number which represents the expression

Solution:

Integers refers to natural numbers, 0 together with negative of rational numbers.

A rational number is the number of the form $\frac{p}{q}$ where p and q are integers and $q\neq 0$ .

$\frac{1}{8}-(\frac{-3}{4} )=\frac{1}{8}+\frac{3}{4}\\ =\frac{1+6}{8}\\ =\frac{7}{8}$

So, $\frac{7}{8}$ represents $\frac{1}{8}-(\frac{-3}{4} )$

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Is 9.373 a repeating decimal? Is it rational? Explain your reasoning.

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its is not a repeating decimal and it is a rational number because a rational number is a number that does not have repeating decimal but a irrational number does have repeating decimal

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2 years ago

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Compare partial products and regrouping how the methods are alike and different

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Partial products are different in regrouping in terms of how numbers are clustered from a set equation as a whole delivering it individual but naturally to all the numbers involved in the set. 
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2 years ago

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According to a Pew Research survey, about 27% of American adults are pessimistic about the future of marriage and the family. Th

IgorLugansk [536]

Answer:

P(X≤5)=0.5357

Step-by-step explanation:

Using the binomial model, the probability that x adults from the sample, are pessimistic about the future is calculated as:

$P(x)=\frac{n!}{x!(n-x)!} *p^{x}*(1-p)^{n-x}$

Where n is the size of the sample and p is the probability that an adult is pessimistic about the future of marriage and family. So, replacing n by 20 and p by 0.27, we get:

$P(x)=\frac{20!}{x!(20-x)!}*0.27^{x}*(1-0.27)^{20-x}$

Now, 25% of 20 people is equal to 5 people, so the probability that, in a sample of 20 American adults, 25% or fewer of the people are pessimistic about the future of marriage and family is equal to calculated the probability that in the sample of 20 adults, 5 people of fewer are pessimistic about the future of marriage and family.

Then, that probability is calculated as:

P(X≤5)= P(1) + P(2) + P(3) + P(4) + P(5)

Where:

$P(0)=\frac{20!}{0!(20-0)!}*0.27^{0}*(1-0.27)^{20-0}=0.0018$

$P(1)=\frac{20!}{1!(20-1)!}*0.27^{1}*(1-0.27)^{20-1}=0.0137$

$P(2)=\frac{20!}{2!(20-2)!}*0.27^{2}*(1-0.27)^{20-2}=0.0480\\P(3)=\frac{20!}{3!(20-3)!}*0.27^{3}*(1-0.27)^{20-3}=0.1065\\P(4)=\frac{20!}{4!(20-4)!}*0.27^{4}*(1-0.27)^{20-4}=0.1675\\P(5)=\frac{20!}{5!(20-5)!}*0.27^{5}*(1-0.27)^{20-5}=0.1982$

Finally, P(X≤5) is equal to:

P(X≤5) = 0.0018+0.0137 + 0.0480 + 0.1065 + 0.1675 + 0.1982

P(X≤5) = 0.5357

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1 year ago

How do I solve 3/10+2.125 Converted into fractions

ahrayia [7]

Answer:

97/40

Step-by-step explanation:

so 2.125= 17/8

3/10+17/8 need to find common denominator so

times 8/8 to 3/10

times 10/10 to 17/8

24/80+170/80= 194/80 (common denominator so can add)

divide 194/80 because want reduce form

97/40 is the answer

(When i look at it now i can just time 4/4 and 5/5 but its ok this still gets the answer)

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2 years ago

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2 years ago

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