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Lerok [7]
3 years ago
5

The estimated difference between two numbers is 60. Find two numbers that when rounded to the nearest ten, have a difference of

60. Use these number. 135 128 61 141 74 56
Mathematics
1 answer:
Verdich [7]3 years ago
7 0

Answer:

128 and 74.

Step-by-step explanation:

128 rounded to the nearest ten is 130, and 74 rounded to the nearest ten is 70. 130-70=60

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Graph the linear equation y=4
Angelina_Jolie [31]

Check the picture below.

4 0
3 years ago
A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters
natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used 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.

70% of all eligible voters will vote in the next presidential election.

This means that p = 0.7

20 eligible voters were randomly selected from the population of all eligible voters.

This means that n = 20

What is the probability that fewer than 11 of them will vote?

This is:

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)

In which

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

P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308

P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120

P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039

P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010

P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002

P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479

0.0479 = 4.79% probability that fewer than 11 of them will vote

8 0
3 years ago
What is the answer<br><br> 5a - 3 = 8a + 6
earnstyle [38]
Subtract 5a from both sides

-3=3a+6


Subtract 6 from both sides

-9=3a

Divide by three

a= -9/3 (which is -3)

Remember what you do to one side you must do to the other
7 0
3 years ago
Read 2 more answers
A.3/5<br> B.2/3<br> C.5/3<br> D.2
lozanna [386]

Answer:

The answer was d

Step-by-step explanation:

8 0
3 years ago
Which of the following is irrational?
uysha [10]
Answer
<span>C. root 3 + 8.486</span>
7 0
3 years ago
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