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3 years ago

Find the quotient of 1 2/3 ÷ 2 3/5 Give your answer as a fraction in its simplest form.

Mathematics

1 answer:

iogann1982 [59]3 years ago

5 0

Answer:

25/39

Step-by-step explanation:

1 $\frac{2}{3}$ = $\frac{5}{3}$ (Multiply the denominator (3) by the whole number (1). Then add the numerator (2) to get the new numerator and convert to improper form).

3 × 1 + 2 = 5

2 $\frac{3}{5}$ = $\frac{13}{5}$ (Multiply the denominator (5) by the whole number (2). Then add the numerator (3) to get it the new numerator and convert to improper form).

5 × 2 + 3 = 13

Now we can more easily divide $\frac{5}{3}$ ÷ $\frac{13}{5}$ .

To divide by $\frac{13}{5}$ , we can multiply by it's reciprocal: $\frac{5}{13}$ (switch the numerator and denominator).

$\frac{5}{3}$ × $\frac{5}{13}$ = $\frac{5*5}{3*13}$ = $\frac{25}{39}$ . There are no common factors between 25 and 39 besides 1. So it's already simplified.

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Consider the experiment where a pair of fair dice is thrown. Let X denote the random variable whose value is determined by takin

Nastasia [14]

Answer:

Pr(X=1) = 1/36

Pr(X=2) = 3/36

Pr(X=3) = 5/36

Pr(X=4) = 7/36

Pr(X=5) = 9/36

Pr(X=6) = 11/36

Pr(X is divisible by 4) = 7/36

Step-by-step explanation:

Two fair die are thrown and X = maximum of the two die.

Pr(X=1) means 1 is the maximum number of the two numbers showing on the dice. This can only happen when both dice are showing 1. So,

Pr(X=1) = (1,1)

= (1/6)*(1/6)

Pr(X=1) = 1/36

Pr(X=2) = (1,2) + (2,1) + (2,2)

= (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6)

Pr(X=2) = 3/36

Pr(X=3) = (1,3) + (2,3) + (3,1) + (3,2) + (3,3)

= (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6)

Pr(X=3) = 5/36

Pr(X=4) = (1,4) + (2,4) + (3,4) + (4,1) + (4,2) + (4,3) + (4,4)

= (1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)+(1/6)*(1/6)

Pr(X=4) = 7/36

Pr(X=5) = (1,5) + (2,5) + (3,5) + (4,5) + (5,1) + (5,2) + (5,3) + (5,4) + (5,5)

= 9 *(1/6)*(1/6)

Pr(X=5) = 9/36

Pr(X=6) = (1,6) + (2,6) + (3,6) + (4,6) + (5,6) + (6,1) + (6,2) + (6,3) + (6,4) + (6,5) + (6,6)

= 11 * (1/6)*(1/6)

Pr(X=6) = 11/36

X is divisible by 4 only when X=4. Other values of X are not divisible by 4. So,

Pr(X is divisible by 4) = Pr(X=4)

Pr(X is divisible by 4) = 7/36

5 0

3 years ago

I've work this one out but I keep getting answers that aren't one of the choices

shtirl [24]

Answer:

2.0

Step-by-step explanation:

Tangent is calculated as the length of the opposite side of an angle divided by the adjacent side of that angle.

The opposite of theta is 4, while its adjacent side is 2

tan theta = 4/2 = 2

5 0

4 years ago

In this polygon, which angle is an exterior angle?

Zigmanuir [339]

Answer:

The correct answer would be: D

Step-by-step explanation:

C is an interior angle, so it is out of question.

That leaves D, A, and B.

A and B are not correctly put in my opinion, because both angles are put in a circle probably suggesting it is equal to 360°, even though a whole trapeziods exterior angle alone is not supposed to equal to 360° because the entirety of it is supposed to be equivalent to that amount.

Leaving D, being the correct answer

I hope this helps

5 0

3 years ago

How many times does 16 go in 41

charle [14.2K]

41/16
=2.5625
so it goes into 41 2 times

4 0

4 years ago

A student is chosen at random from a large statistics class and asked how much time (in whole hours) she spent studying during t

allochka39001 [22]

Answer:

Step-by-step explanation:

The sample space is the total possible values of an experiment or research. Since the total number of hours is 24, then the total possible number (or the limit she can use have) is 24. This she cannot exceed this 24 hour limit. Then we call this the total possible outcome and thus the sample space.

6 0

3 years ago