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olganol [36]
3 years ago
12

A navigator marks three locations on a satellite map as shown. If the distance from Serravalle to San Marino is 982 miles, and t

he distance from Chiesanuova to San Marino is 833 miles, then how far is Chiesanuova from Serravalle?
Mathematics
2 answers:
jeyben [28]3 years ago
6 0

Answer:

C .1,233 MILES

PLATO

Step-by-step explanation:

Solnce55 [7]3 years ago
3 0

                                                                    833
Seravalle____________Chiesanuova______________San Marino
    
             |---------------------------------------------------------------------|
                                          982

so the distance from Chiesanuova to Serravalle is : 
982 - 833 = 149 miles <==
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Answer:

0.0082 = 0.82% probability that he will pass

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. 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.

In this problem we have that:

n = 14, p = 0.3.

If the student makes knowledgeable guesses, what is the probability that he will pass?

He needs to guess at least 9 answers correctly. So

P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)

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

P(X = 9) = C_{14,9}.(0.3)^{9}.(0.7)^{5} = 0.0066

P(X = 10) = C_{14,10}.(0.3)^{10}.(0.7)^{4} = 0.0014

P(X = 11) = C_{14,11}.(0.3)^{11}.(0.7)^{3} = 0.0002

P(X = 12) = C_{14,12}.(0.3)^{12}.(0.7)^{2} = 0.000024

P(X = 13) = C_{14,13}.(0.3)^{13}.(0.7)^{1} = 0.000002

P(X = 14) = C_{14,14}.(0.3)^{14}.(0.7)^{0} \cong 0

P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0066 + 0.0014 + 0.0002 + 0.000024 + 0.000002 = 0.0082

0.0082 = 0.82% probability that he will pass

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Answer:

as shown in the attached file

Step-by-step explanation:

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Here the line passes through (0,0) and (1,3).

First we need to find the slope , and for that we need to use the following formula

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On substituting the values from the point, we will get

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Now we will use slope intercept form, which is

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Where m is the slope and b is the y intercept

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Substituting the values of m and b in the slope intercept form, we will get

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