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vitfil [10]
2 years ago
9

Which quantity is proportional to 35⁄80?

Mathematics
2 answers:
maksim [4K]2 years ago
8 0

Answer:

The propotional quantity to \frac{35}{80} is \frac{7}{16}

Step-by-step explanation:

We need to find quantity propotional to \frac{35}{80}

first, we simplify the expression

\frac{35}{80}

Since, the common factor in numerator and denominator is 5,

\frac{5\times 7}{5 \times 16}

cancel out the common factor

\frac{7}{16}

Hence, the propotional quantity to \frac{35}{80} is \frac{7}{16}

gladu [14]2 years ago
7 0
7/16 I hope this helps
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A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car
trapecia [35]

Answer: There are 60 ways that they can travel to the concert.

Step-by-step explanation:

Since we have given that

Number of people want to go to a concert = 12

Number of cars = 3

Number of drivers in the group = 5

So, using the "Fundamental theorem of counting":

We get that

5\times 4\times 3\\\\=60

Hence, there are 60 ways that they can travel to the concert.

7 0
2 years ago
Which two statements describe domestic stocks? They are directly affected by exchange rate fluctuations. They are always traded
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Answer:

They are based in the investor’s country of residence

They are always traded in local currency.

Step-by-step explanation:

Stocks, in general, indicate ownership shares of a company and domestic stocks as the name suggests are stocks that are based in the investor's home country.

These domestic stocks are almost always traded in local currency and they are a great help to local investors because it eliminates the currency risk because of exchange rates which can change at any time.

6 0
2 years ago
30 fat points. Rita builds a pool in her backyard. The pool measures 60 feet long, 32 feet wide and 8 feet deep. How much water
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Answer:

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Step-by-step explanation:

8 0
2 years ago
It takes one machine 25 minutes to pick a bale of cotton and another machine 30 minutes to compete the same job. If both machine
gladu [14]
The first machine works at the rate x = 1 bale/ 25 min.
The second machine works at the rate y = 1 bale/30 min.

The combined rate is
x + y = 1/25 + 1/30 bales/min
         = (30 + 25)/(25*30) = 55/750
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The time for both machines to pick 1 bale of cotton is
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6 0
2 years ago
A human resources manager keeps a record of how many years each employee at a large company has been working in their current ro
REY [17]

Answer:

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Distribution of years of experience:

Mean 3, so \mu = 3

Standard deviation 2, so \sigma = 2

Sample of 4:

n = 4, s = \frac{2}{\sqrt{4}} = 1

What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?

1 subtracted by the pvalue of Z when X = 3.5. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{3.5 - 3}{1}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

3 0
2 years ago
Read 2 more answers
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