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3 years ago

Combining like terms4x+2×+7×

Mathematics

2 answers:

Nastasia [14]3 years ago

4 0

You just add all of them 13x

Marianna [84]3 years ago

4 0

The answer is 13x, you add all the numbers together as though the x isn't there since they all have it and then you put the x back on in the end

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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 X = number of adults between 18 to 20 years consumed alcoholic beverages in 2008.

The probability of the random variable X is, p = 0.697.

A random sample of n = 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 X follows a Binomial distribution with parameters n = 50 and p = 0.697.

The probability mass function of a Binomial random variable X 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 X 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 X 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 X ≥ 45 as follows:

P (X ≥ 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. p < 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

3 years ago

Alice is designing a book shelf. The segment LQ represents the base of the book shelf. Alice wants to construct a line to repres

Agata [3.3K]

Answer:

Place the compass at S and adjust its width to point P.

Step-by-step explanation:

Here are the remaining steps to complete the construction.

The next step for Alice is to place the compass at point S and adjust its width to point P.

Next step is, without changing the width, place the compass at point T, draw another arc and cut the previously drawn arc. Label the new point as U.

Now, using straightedge, join points R and U.

RU is the required line that passes through R and parallel to LQ.

3 0

3 years ago

Read 2 more answers

dave and his sister picked out two pumpkins at the pumpkin patch. the pumpkins cost $0.47 per pound. davids pumpkin weighed 13.2

Andrei [34K]

They payed $31.20 for both you multiply $0.47 times 13.24 and the equal 26.22 and then you do $0.47 times 10.6 and that equals 4.98 and then you do 4.98+26.22= 31.20 or 31.2 is the same thing

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4 years ago

Plot triangle ABC with coordinates A(-4,5),B(-1,5),C(-1,1)

slavikrds [6]

Answer:

Step-by-step explanation:

5 0

3 years ago

Which of the following statistical measures is least appropriate for describing the data set shown below?

german

The range, which it the number you get from subtracting the smallest number from the biggest, would be the least appropriate number because the largest number in this set of numbers is an outlier. An outlier is an abnormality in a set of statistical data.

5 0

4 years ago