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mash [69]
3 years ago
11

1.) k + 4n k = 3 and n = 7 *

Mathematics
2 answers:
Alika [10]3 years ago
8 0
1. 31
2. -5
3. 85
4. 10
5. -1
Marrrta [24]3 years ago
5 0
1.) 31
2.) 35
3.)85
4.) 10
5.)-1
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The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jon
olga_2 [115]

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.

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.

These names account for 9.6% of all U.S. residents.

This means that p = 0.096

8 authors in total.

This means that n = 8

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is P(X = 0). So

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

P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

3 0
3 years ago
Terry is 4 feet tall, and his shadow is 3 feet long. How many feet is it from the top of Terry's head to the top of his shadow's
IrinaK [193]
The answer would be 5 if you draw it you would need to do a^2+b^2=c^2
6 0
4 years ago
Read 2 more answers
0.25 multiplied by 0.4 the answer says 0.1 how do I get that I tried it doesn't come out the same
Ede4ka [16]
You could do it as if they were fractions
.4 equals 4/10 which equals 2/5
.25 equals 25/100 which equals 1/4
2/5 times 1/4 equals 2/20
2/20 equals 1/10
1/10 equals .1 
.1 is correct

You could also multiply decimals like this:
1.Multiply them together like full numbers
4 times 25 equals 100
2.Move the decimal in three times because the decimal .4 is moved in once and .25 is moved in twice so when you add them you get three 
The answer would be .1 or .100 (it doesn't make a difference because you cross out any zeros at the end of a decimal Ex: .12300 equals .123 but .123001 stays .123001)
8 0
3 years ago
PLEASE HELP????!!!!?!!!!!!1
anzhelika [568]

Answer:

Solve the resulting equation for x

3 0
2 years ago
the soccer field Marios school has an area of 6,000 square meters. how can Mario show the area as a whole number multiplied by a
Bad White [126]
The show the area of the school field to the power of ten, Mario simply has to count the amount of zeros in 6,000. He will of course count 3 zeros, so the answer will be 6 x 10^(3).
5 0
3 years ago
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