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1 year ago

A pattern has 12 red squares to every 84 blue circles. What is the ratio of red squares to bluecircles?Saleet

Mathematics

1 answer:

victus00 [196]1 year ago

8 0

A pattern has 12 red squares to every 84 blue circles

The ratio is shown below;

$\begin{gathered} \text{Ratio}=\frac{12}{84} \\ \text{Divide all through and reduce to the simplest form and you now have;} \\ \text{Ratio}=\frac{1}{7} \end{gathered}$

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for a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 115 m

Firdavs [7]

The required probability that the sample mean courtship time is between 115 min and 135 min is 0.5269.

We know that probability is defined as the proportion of number of favorable outcomes to the total number of outcomes.

Probability implies plausibility. A piece of math deals with the occasion of a sporadic event. The worth is communicated from zero to one. Likelihood has been acquainted in Maths with foresee how likely occasions are to occur.

The significance of likelihood is essentially the degree to which something is probably going to occur. This is the fundamental likelihood hypothesis, which is likewise utilized in the likelihood dispersion, where you will get familiar with the chance of results for an irregular examination. To track down the likelihood of a solitary occasion to happen, first, we ought to know the complete number of potential results.

We have μ=115min

n=50

P(x₁<X<x₂)=P(z₂< (x₂-μ) /S.D) -P(z₁<(x₂-μ)/S.D)

S.D=√(σ²/ n)

=>S.D=√(115)²/50

=>S.D = √(13225)/50

=>S.D = √264.5

=>S.D = 16.26

P(115<X<135)=P(z₂< (135-115)/16.26)-P(z₁ <(100-115) / 16.26)

=>P((115<X<135)=P(z₂<20/16.26)-P(z₁< -15/16.26)

=>P(115<X<135)=P(z₂<1.23) - P(z₁<-0.922)

From the probability distribution table

P(z₂<1.23)=0.6255

P(z₁<-0.922)=0.0986

P(115<X<135)=0.6255-0.0986

=>P(115<X<135)=0.5269

Hence, required probability is 0.5269

To know more about probability, visit here:

brainly.com/question/11234923

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6 0

1 year ago

A recipe for 8 apple dash cinnamon muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with

Brilliant_brown [7]

Answer:

you can make 14 muffins

Step-by-step explanation:

To get this answer you first need to know that 1 cup makes 8 muffins. Next know that there's 1 3/4 cups of flour. Because you know that 1 cup makes 8 muffins you need to figure out how many muffins 3/4 a cup of flour can make. To do this you divide 8 by 4. Hence 8 divided by 4 is 2. So know you know that for every 1/4 cup you can make 2 muffins. Now since there's 3/4 cup of flour you then multiply 2 by 3 which is 6. Now you have to add 1 cup ( 8 muffins) to 3/4 cup ( 6 muffins ) of flour which then equals 14. You then get the answer , 1 3/4 cups of flour can make 14 muffins. Hope this helped ;)

6 0

3 years ago

Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars?

oksano4ka [1.4K]

Answer:

C. $18.50.

Step-by-step explanation:

We have been given that Kyle’s bank statement shows a balance of –$18.50. We are asked to determine the magnitude, or size, of the debt in dollars.

We know that the magnitude of a negative number is absolute value of negative number.

$\text{Magnitude of debt in dollars}=|-\$18.50|$

Since absolute value of a negative number is opposite of the number.

$\text{Magnitude of debt in dollars}=-(-\$18.50)=\$18.50$

Therefore, option C is the correct choice.

5 0

2 years ago

Read 2 more answers

I NEED SOMEONE TO HELP ASAP: I just need someone to classify all of these things

Sergio039 [100]

Integer, natural, whole, rational, irrational, natural (15/3=5), integer (-12/6=-2), rational, irrational, rational, rational

Natural-the counting numbers (1,2,3,100...)
Whole-all natural AND 0
Integers-add negative numbers (no fractions)
Rational-add fractions and decimals
Irrational-numbers that can’t be a fraction (square root of 3, pi)
Real-all numbers

7 0

3 years ago

The difference between a number and 8 is 11

quester [9]

Answer:

The difference between 19 and 8 is 11.

Step-by-step explanation:

Given:

The difference between a number and 8 is 11

Find the number.

Solution:

Let the unknown number be $=x$