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marshall27 [118]

3 years ago

10

Give your answer as a mixed number

1 answer:

inessss [21]3 years ago

8 0

Answer:

The value of given expression is 13 / 3

Step-by-step explanation:

Given expression in the form of improper fraction;

17/3 - $1\frac{1}{3}$

Find;

The value of given expression

Computation:

⇒ 17/3 - $1\frac{1}{3}$

Step 1 ;

Change mixed fraction into simple fraction

⇒ 17/3 - 4/3

Step 2 ;

By taking LCM of denominators;

⇒ [17 - 4] / 3

Step 3 ;

Subtract 17 from 3

⇒ [13] / 3

The value of given expression is 13 / 3

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A student takes an exam containing 1414 multiple choice questions. The probability of choosing a correct answer by knowledgeable

Readme [11.4K]

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

6 0

2 years ago

A tailor has 13 1/2 yards of fabric to use for making costumes. For each costume, he needs 1 1/2 yards of fabric for the top and

VLD [36.1K]

Answer:

6 complete costumes

Step-by-step explanation:

he has 27/2 total fabric

1 costume requires 1 2/4 + 3/4 of fabric, which is 2 1/4

we divide 27/2 by 9/4

27/2 x 4/9 = 6

3 0

2 years ago

Write 8:136 in the form of 1:n

sergeinik [125]

Answer:

1:17

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What are these two questions please help

Kay [80]

15 feet is what I came up with.

3 0

3 years ago

Jordan is preparing serving of baby carrots. He has 96 baby carrots, each serving is 12 carats, how many shearings can Jordan pr

lesantik [10]

Answer: See explanation

Step-by-step explanation:

Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.

The number of shearings that Jordan can prepare will be:

= 96 / 12

= 8

From the above calculation, there won't be any carrots left since we do not have a remainder.

5 0

2 years ago