1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lozanna [386]
3 years ago
15

Find the three arithmetic means between 7 and 21

Mathematics
1 answer:
eimsori [14]3 years ago
8 0
<span>Since we are finding three arithmetic means between 7 and 21, that means there are 4 intervals between 7 and 21. The difference between 21 and 7 is 14, which we divide by 4 to get the value of each interval. Since each interval is 14/4 or 3.5, we keep adding that value to 7 to get our three arithmetic means. They are 10.5, 14, and 17.5</span>
You might be interested in
the sum of three consecutive positive numbers is 66. the smallest number is x. find the three numbers
Trava [24]
Therefore in order from least to greatest it is 21, 22, and 23

4 0
3 years ago
the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,
kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

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:

  • One in ten students are named Joe, hence p = \frac{1}{10} = 0.1.
  • There are 15 students in the class, hence n = 15.

The probability that at least one of them is named Joe is:

P(X \geq 1) = 1 - P(X = 0)

In which:

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

P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059

Then:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0
3 years ago
Keith bought a bag of parsnips that weighed 5 pounds. he also bought a bad of turnips that weighed 2 1/2 times as much as the pa
Illusion [34]

Answer:

5 x 2 1/2

l

l

l

V

5/1 x 5/2 = 25/2

5 0
3 years ago
Luis has $60 in his savings account. He earns $12 per hour at his job. Luis plans to buy a bicycle for $240.
Lelu [443]

Answer:

15 hours

Step-by-step explanation:

8 0
3 years ago
Peter can ride his bike for 60 miles in 1 hour less time than it
Inessa05 [86]

Answer:12 mph

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Please Fill in the Blanks (see attachment)
    9·1 answer
  • Find the sum of the roots the following equation. The subject is quadratic equations with a maximum power of two (things like a(
    5·2 answers
  • Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
    6·2 answers
  • If all angles are 90 degrees, and the crystal has a square base with a height that is larger than one of the square sides, what
    10·1 answer
  • Jared bought a package of pens containing 20 pens if 3/4 of the pens have black ink how do you determine the number of pens with
    12·1 answer
  • The number of bacterial cells, B, in a container after t hours is given by B=25x2t After how many hours will there be 400 bacter
    10·1 answer
  • In AABC, the measure of ZC=90°, the measure of ZA=63°, and AB = 35 feet. Find the
    10·1 answer
  • This isn't a specific topic I need to know for school or something, Im just curious. I know the first three variable letters mos
    15·1 answer
  • Find the value of k ​
    13·1 answer
  • Of the writting utensils in a bin, 5/8 are pens. of the pens, 3/4 are black pens. What fraction of the writting utensils are bla
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!