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3 years ago

in 25 minutes, li can run 10 laps around the track. Determine the number of laps she can run per minute

Mathematics

2 answers:

ratelena [41]3 years ago

8 0

Answer:

2.5

Step-by-step explanation:

You divide 25 miutes into 10 laps to figure out the laps she can run per minute.

FinnZ [79.3K]3 years ago

6 0

Answer:

I'm not helping yall learn on ya own .

Step-by-step explanation:

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A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me

Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 20 questions, hence $n = 20$ .

Each question has 2 options, one of which is correct, hence $p = \frac{1}{2} = 0.5$

The probability is:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

In which:

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

$P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148$

$P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046$

$P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011$

$P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002$

$P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0$

$P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0$

Then:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207$

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

The range of y = - 32x ^ 2 + 90x + 3

motikmotik

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Domain and Range y=3/2x^2+4x-9

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The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

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Set-Builder Notation:

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The range is the set of all valid

values. Use the graph to find the range.

Interval Notation:

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Set-Builder Notation:

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Determine the domain and range.

Domain:

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Range:

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image of graph

5 0

2 years ago

Read 2 more answers

Solve and check please help ty

raketka [301]

so wt's the question of this pic?

5 0

2 years ago

What is this answer

riadik2000 [5.3K]

the circle is 5; the triangle is 2; and the square is 6

5 0

3 years ago

Read 2 more answers

Dexter sees a jacket that has a regular price of $69.99. He decides to purchase the jacket and gets a 20% discount. How much doe

Evgen [1.6K]

20% as a decimal = 0.20 × 69.99=£14.00

69.99-14=55.99

Step-by-step explanation:

5 0

3 years ago

in 25 minutes, li can run 10 laps around the track. Determine the number of laps she can run per minute​

in 25 minutes, li can run 10 laps around the track. Determine the number of laps she can run per minute