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4 years ago

What is the similarity between calculating a percent, proportion, and rate?

Mathematics

1 answer:

cricket20 [7]4 years ago

6 0

Answer:

use of fraction method

Step-by-step explanation:

Percentage% is a number/ the total× 100%

Proportion is x:y:z which is the same as x/y/z

rate is also in the same format

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Suppose that in a large metropolitan area, 73% of all households have cable tv. Suppose you are interested in selecting a group

Darina [25.2K]

Answer:

$P(X \leq 2)=0.000387+0.00628+0.0425=0.0491$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=6, p=0.73)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

For what proportion of groups will at most two of the households have cable tv?

So we want to find this probability:

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

$P(X=0)=(6C0)(0.73)^0 (1-0.73)^{6-0}=0.000387$

$P(X=1)=(6C1)(0.73)^1 (1-0.73)^{6-1}=0.00628$

$P(X=2)=(6C2)(0.73)^2 (1-0.73)^{6-2}=0.0425$

$P(X \leq 2)=0.000387+0.00628+0.0425=0.0491$

3 0

3 years ago

Four friends participated in a speed-typing contest. Who has the slowest typing speed? Georgie: 320 words in 8 minutes Tara: 403

dsp73

Frank has the lowest typing speed, at only 39.5 words per minute.

Tara has 40.3 wpm
Georgie has 40 wpm
Lupe had 40.5 wpm

4 0

3 years ago

Please check if this is correct. I KNOW IT ISNT TELL ME MY MISTAKES. Attacment below.

vichka [17]

The correct answer to A is true

everything else looks okay to me..

I don't know if you are right for the rest since I multiplied and didn't get any of them XD so I'm going to trust you on that. Maybe you should double- check just to be sure though.

3 0

4 years ago

A college student would like to investigate the prices of sandwiches offered near the campus. A sample of 50 shops that sell san

elena-14-01-66 [18.8K]

The interval from $9 to $10 contains the largest number of sandwich prices. Option B

<h3>Which is a correct statement regarding sandwich prices, based on the histogram?</h3>

Generally, A graph known as a histogram displays the frequency of occurrence of numerical data via the use of rectangles. The frequency of a variable's distribution is shown by its position along the vertical axis, which is the height of a rectangle (the amount, or how often that variable appears).

In conclusion, The greatest number of sandwich costs may be found in the range from $9 to $10. Alternative B