All categories

3 years ago

What is the sum of a-1/abc^3 + 3-b/abc^3

1 answer:

4 0

The answer is $\frac{a-b+2}{abc^{3} }$

The expression is $\frac{a-1}{abc^{3} } + \frac{3-b}{abc^{3} }$

Since $\frac{a}{x} + \frac{b}{x} = \frac{a+b}{x}$ , then:

$\frac{a-1}{abc^{3} } + \frac{3-b}{abc^{3} } = \frac{a-1+3-b}{abc^{3} }= \frac{a-b-1+3}{abc^{3} }=\frac{a-b+2}{abc^{3} }$

You might be interested in

If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$

Now compute each combination separately:

$\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700$

and now replace the values:

$\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}$

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0

3 years ago

Which statements about angles are true? Check all that apply.

Vadim26 [7]

Answer:

A,C,D,E

Step-by-step explanation:

The first one is true because in fact, supplementary angles' measures add up to 180°.

The second one is false because there are 5 types, not 3. These are the types:

acute angle-an angle between 0 and 90 degrees.

right angle-an 90 degree angle.

obtuse angle-an angle between 90 and 180 degrees.

straight angle-a 180 degree angle.

reflex angle- a angle between 180 and 360 degrees.

Third is true too because linear pair means two angles that form a straight line, or 180°.

Fourth is true because straight Angle theorem states that all the straight angles are 180 degrees. If the legs are pointing exactly in the opposite directions, then it forms a straight angle.

Last one is true because by definition complementary angles always form a right angle, which is 90°.

Hope it helps!

8 0

3 years ago

ASAP!!!!! Help please ‼️

ZanzabumX [31]

Answer: The answer should be 3.

Step-by-step explanation: You plug in 2 instead of X and that’s it. Then you calculate your equation, and receive your answer.

4 0

3 years ago

Read 2 more answers

Help me out please I’m stuck