All categories

1 year ago

What is the next number in the series 167, 118, 82

Mathematics

1 answer:

Katyanochek1 [597]1 year ago

3 0

The next number in the series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The series is:

167, 118, 82

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

As we know, the prime is divisible by 1 and itself.

The prime numbers before 82 are:

57, 41, 37, 31, 29, 23, 19.. and so on

The next number in series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Thus, the next number in the series are 57, 41, 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

You might be interested in

Belle's Cupcakes recently sold 6 pistachio cupcakes and 8 other cupcakes. Considering this data, how many of the next 56 cupcake

VikaD [51]

Answer: 24 pistachios cupcakes.

Step-by-step explanation:

We know that:

They recently sold 6 pistachio cupcakes and 8 other cupcakes.

Then we can model this with the ratio 6:8

This means that for each 6 pistachio cupcakes sold, they also sell 8 of another type of cupcakes.

Whit this info, if they sell 56 cupcakes, how many of them will be pistachio cupcakes?

Using the ratio above, we must find a number N such that:

N*6 + N*8 = 56.

N*(6 + 8) = 56

N*14 = 56

N = 56/14 = 4.

This means that:

out of the 56 cupcakes, 4*6 = 24 are pistachios cupcakes

4*8 = 32 are other cupcakes.

Then you should expect that 24 out of the 56 cupcakes are pistachios cupcakes.

6 0

3 years ago

Please help with my math homework

AlexFokin [52]

Answer:

I believe the answer is a.

5 0

3 years ago

Read 2 more answers

Multiply (x + 1)³

nlexa [21]

Answer:

x³+3x²+3x+1

Step-by-step explanation:

=(x+1)(x+1)(x+1)

=(x+1)(x²+x+x+1)

=(x+1)(x²+2x+1)

=(x³+2x²+x+x²+2x+1)

=x³+3x²+3x+1

4 0

2 years ago

Read 2 more answers

A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 105 ounces of a mixture

dedylja [7]

Answer:

Step-by-step explanation:

Start with changing 35% and 30% to a decimal.

35% = .35%

30% = .30%

Then multiply 105 by .30%. ( but don't put the percent sign in the calculator when multiplying)

105 x .30% = 31.5

Then you want to divide 31.5 by .35%

31.5 / .35% = 90

5 0

2 years ago

A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly

earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<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.

In this problem:

A survey showed that 77% of us need correction, hence p = 0.77.

13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

$P(X \geq 12) = P(X = 12) + P(X = 13)$

In which:

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

$P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299$

$P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334$

Then:

$P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163$

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

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

7 0

2 years ago