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2 years ago

Change mixed fraction to improper fraction.

Mathematics

2 answers:

Andreas93 [3]2 years ago

7 0

Answer:

2 3/4 = 11 /4

8 2/3 = 26/3

2 1/2 = 5/2

Deffense [45]2 years ago

4 0

Answer:

11/4 26/3 5/2

Step-by-step explanation:

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A box contains 5 plain pencils and 7 pens. A second box contains 3 color pencils and 3 crayons. One item from each box is chosen

Andru [333]

Multiply the two desired probabilities to find the answer.

5/12 is the probability for the plain pencil since there are 5 pencils out of 12 total items.

1/2 is the probability for the colored pencil since there are 3 colored pencils out of 6 total items. 3/6 simplifies to 1/2.

5/12*1/2= 5/24

Final answer: 5/24

8 0

3 years ago

For the two numbers listed find two factors of the first number such that their product is the first number and there sum is the

Ivanshal [37]

Given:

Product of two numbers is 24

Sum of two numbers is -11

-8 and -3 are the two numbers.

7 0

1 year ago

What is the equation of the line that passes through the point (2,7) and has a slope of 6?

Mumz [18]

Answer:

y= 6x - 5

Step-by-step explanation:

3 0

3 years ago

Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett

valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

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.

With 5 shoots, the probability of making at least one is $\frac{211}{243}$ , hence the probability of making none, P(X = 0), is $\frac{232}{243}$ , hence:

$(1 - p)^5 = \frac{232}{243}$

$\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}$

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin is:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

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

$P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461$

$P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012$

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

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7 0

2 years ago

How is this number read? 14.102

qwelly [4]

Answer:

fourteen and one-hundred-two

Step-by-step explanation:

we tend to read "." as "point" but the proper reading would be to read the number left to the decimal point (14), add the word "and" and then read the number to the right of the decimal point (102)

5 0

2 years ago