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Tema [17]
3 years ago
14

How to prove converse of. basic proportionality theorem​please answer within one hour

Mathematics
2 answers:
Westkost [7]3 years ago
5 0

Step-by-step explanation:

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Lemur [1.5K]3 years ago
3 0

Answer:

two different ways of theoretical and experimental explanation

both are correct

hope they helped you

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25-14+3 my friends AND I DO NOT get it! Please help us! :)
irga5000 [103]
25-14=11 
11+3=14


25+3=28
28 divided by 2=14
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3 years ago
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Eight avocados cost 4 how much does 11 avocados cost
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It costs 5,5! Bc 1 costs 0,5
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We learned in that about 69.7% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty
maw [93]

Answer:

(1) The expected number of people who would have consumed alcoholic beverages is 34.9.

(2) The standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3) It is surprising that there were 45 or more people who have consumed alcoholic beverages.

Step-by-step explanation:

Let <em>X</em> = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.

The probability of the random variable <em>X</em> is, <em>p</em> = 0.697.

A random sample of <em>n</em> = 50 adults in the age group 18 - 20 years is selected.

An adult, in the age group 18 - 20 years, consuming alcohol is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 50 and <em>p</em> = 0.697.

The probability mass function of a Binomial random variable <em>X</em> is:

P(X=x)={50\choose x}0.697^{x}(1-0.697)^{50-x};\ x=0,1,2,3...

(1)

Compute the expected value of <em>X</em> as follows:

E(X)=np\\=50\times 0.697\\=34.85\\\approx34.9

Thus, the expected number of people who would have consumed alcoholic beverages is 34.9.

(2)

Compute the standard deviation of <em>X</em> as follows:

SD(X)=\sqrt{np(1-p)}=\sqrt{50\times 0.697\times (1-0.697)}=10.55955\approx10.56

Thus, the standard deviation of people who would have consumed alcoholic beverages is 10.56.

(3)

Compute the probability of <em>X</em> ≥ 45 as follows:

P (<em>X</em> ≥ 45) = P (X = 45) + P (X = 46) + ... + P (X = 50)

                =\sum\limits^{50}_{x=45} {50\choose x}0.697^{x}(1-0.697)^{50-x}\\=0.0005+0.0001+0.00002+0.000003+0+0\\=0.000623\\\approx0.0006

The probability that 45 or more have consumed alcoholic beverages is 0.0006.

An unusual or surprising event is an event that has a very low probability of success, i.e. <em>p</em> < 0.05.

The probability of 45 or more have consumed alcoholic beverages is 0.0006. This probability value is very small.

Thus, it is surprising that there were 45 or more people who have consumed alcoholic beverages.

6 0
2 years ago
An old house has a basement stairway that has steps with 7.25 inch vertical risers and 7 inch horizontal treads. What is the slo
svlad2 [7]

Answer:

1.04 inch

Step-by-step explanation:

Given: Old house has a basement stairways with 7.25 inch vertical riser and 7 inch horizontal treads.

Remember; horizontal treads is known as run in steps.

Now, calculating the slope of the stairways.

Formula: Slope= \frac{Rise}{Run}

Rise= 7.25 inch

Run= 7 inch.

Subtituting the value in the formula

Slope= \frac{7.25}{7}= 1.0357 \approx 1.04 (∵ Round to two decimal)

∴ Slope of stairways is 1.04.

4 0
3 years ago
Irma works for a service that delivers groceries and pet supplies. She earns a base monthly salary of $1,900. In addition, she g
ruslelena [56]
Irma’s annual income has the delivery fees already taken out. earnings based on salary and commission is higher becuase fees have not been taken out
3 0
2 years ago
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