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2 years ago

6

What is the difference between 5 and -5

1 answer:

liraira [26]2 years ago

6 0

Answer:

10

Step-by-step explanation:

5 - 5 = 0 You would want to subtract five from zero giving you -5.

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A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st

Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from 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.

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that $n = 15, p = \frac{1}{5} = 0.2$

What is the probability that he answers at least 10 questions correctly?

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

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

$P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001$

$P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011$

$P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0$

$P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0$

$P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0$

$P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0$

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111$

0.0111% probability that he answers at least 10 questions correctly

3 0

2 years ago

If the output and input of a linear equation are proportional, where will the graph of the equation cross the x-axis?

mars1129 [50]

Answer:??? I don't know

Step-by-step explanation:

???

5 0

2 years ago

9 over 6 as a percent

stiv31 [10]

150%. since you already have 6, that's 100%. the extra 3 is half of the 6, meaning that it would be 50%

8 0

2 years ago

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Please help I will mark Brainly

Bas_tet [7]

okay so you would go down to -8, then the slope would be 4/1 which means to go up four and then over one. then you have the line.

i hope this helps you!

8 0

3 years ago

Read 2 more answers

Is 38/58 in simplest form? Explain why or why not. If not, write it in simplest form

Fofino [41]

Both 38 and 58 are even so they both can be divided by 2,

38/58

19/29

that is in the simplest form

6 0

2 years ago

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