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xxTIMURxx [149]
3 years ago
7

Perform the indicated operation. 8/a - 6/a + 7/a

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Answer:

9/a

Step-by-step explanation:

8/a - 6/a + 7/a

Since the denominators are the same, we can add the numerators

8-6+7 =9

Then put it over the common denominator a

9/a

You might be interested in
Which of the numbers below could be terms in the sequence an=4n-7 A)29 B)21 C)20 D)28
natali 33 [55]

Answer:

A)29 and B) 21,

Step-by-step explanation:

First,in the sequencea_n=4n-7 , the parameter n must to be a integer.

Second, we need to solve the equations by  n.

n=(a_n+7)/4

All the option in the problem represent an a_n

Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.

For A)

n=(29+7)/4=9\\

For B)

n=(21+7)/4=7\\

For C)

n=(20+7)/4=6.75\\

For D)

n=(28+7)/4=8.75\\

Only A) and B)  only A and B meet the requirement

4 0
3 years ago
Express 9 2/3 out of 100 as a percent .
creativ13 [48]

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

4 0
2 years ago
A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon. #36
vazorg [7]
Take the length of one of the sides and times that by the radius. Divide that answer by 2. Now take that and multiply by the number of sides the polygon has. If you can't find the radius or side, you're going to have to use tan, sin, or cos.
5 0
3 years ago
A sequence of Bernoulli trials consists of choosing components at random from a batch of components. A selected component is eit
Drupady [299]

Answer:

a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Step-by-step explanation:

A sequence of Bernoulli trials composes the binomial distribution.

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.

The probability that a selected component is non-defective is 0.8

This means that p = 0.8

a) Three non-defective components in a batch of seven components.

This is P(X = 3) when n = 7. So

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

P(X = 3) = C_{7,3}.(0.8)^{3}.(0.2)^{4} = 0.0287

0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 8 non-defective components are drawn before the first defective component is chosen.

Now the order is important, so the we just multiply the probabilities.

8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So

p = (0.8)^8*0.2 = 0.0336

0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

4 0
3 years ago
Amber went on a road trip over winter vacation. She recorded how far she had traveled in the table below in relation to the numb
svlad2 [7]

Answer:

B

Step-by-step explanation:

it shows every 4 hours, so:

560-336=224

224:4=56 per hour

6 0
2 years ago
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