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3 years ago

The sum of three numbers is 27 the second number is three times the first while the third is twice the first find their average

Mathematics

1 answer:

Leviafan [203]3 years ago

6 0

Answer:

Step-by-step explanation:

x = first number

3x = second number

2x = third number

27 = x + 3x+ 2x

27 = 6x

x=4.5 (first number)

3(4.5) = 13.5 (second number)

2(4.5) = 9 (third number)

(4.5 + 13.5 + 9) /3 = 9

Wow after doing all that I realized that all you had to do was 27/3 since there's 3 numbers.

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scoundrel [369]

Answer:

23.7555090109

Step-by-step explanation:

sin= opposite/hypotenuse

sin(53) = BC/60cm

BC= sin(53)*60 = 23.7555090109

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3 years ago

What is it called in cubic inch of a cylinder with a height of 4in and a base radius of 5in to the nearest tenths place?

Maru [420]

Answer:

1,256.8in

Step-by-step explanation:

Given data

Height h =4in

Radius r= 5in

The expression for the volume of cylinder is

V=πr²h

Substitute

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3 years ago

In how many ways can the letters of the word "CHINA" be arranged?

juin [17]

It is 120 ways, surprisingly

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3 years ago

1.3.IP-28

lidiya [134]

Step-by-step explanation:

Find the difference

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3 years ago

According to a Yale program on climate change communication survey, 71% of Americans think global warming is happening.† (a) For

SpyIntel [72]

Answer:

a) 0.2741 = 27.41% probability that at least 13 believe global warming is occurring

b) 0.7611 = 76.11% probability that at least 110 believe global warming is occurring

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .