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fredd [130]
2 years ago
14

"/54. x6. y12 = 3x²y^"/2

Mathematics
1 answer:
rusak2 [61]2 years ago
6 0

Answer:

The answer is A

Step-by-step explanation:

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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
Determine any data values that are missing from the table, assuming that the data represent a linear function.
AleksAgata [21]

Answer:

c

Step-by-step explanation:

3 0
2 years ago
3.<br> B<br> ge<br> 18cm<br> A<br> 60°<br> 20cm<br> с<br> Calculate the size of angle ABC.
uysha [10]

Answer:

Step-by-step explanation:

8 0
3 years ago
(Pls help) A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Ella is making enough
blagie [28]

.6 cups of flour Step-by-step explanation:

4 0
2 years ago
Don’t mind my handwriting but can someone help me please
Leno4ka [110]

Answer: A: 3/5

Step-by-step explanation:

He made 9 shots

He attempted 15

The ratio will be 9/15, which can be simplified to 3/5

Have a nice day :)

5 0
2 years ago
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