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
Scrat [10]
3 years ago
11

Out of 21 students in Mrs.Clarks class, 3/7 of the class are boys and 4/7 are girls. How many students in the class are girls an

d how many are boys?
Mathematics
1 answer:
lidiya [134]3 years ago
8 0

Answer:

9 boys and 12 girls

Step-by-step explanation:

if you multiply the denominators by 3, you get "out of" 21. All you need to do after that is multiply the top by 3 as well and it tells you there are 9 boys and 12 girls.

You might be interested in
3, 9, 15, ...<br> Find the 45th term.
Lelechka [254]
First the nth term which is 6n-3
So 6x45-3 is your answer
8 0
2 years ago
Read 2 more answers
$160 divided 5g unit rate
k0ka [10]
The answer is 32$ per gram. You just divide 160 by 5 to get the answer. 

Hope that helps!!!

6 0
3 years ago
A cylindrical juice container has the dimensions shown below.
Savatey [412]

Answer:

C is the answer

Step-by-step explanation:

First find the area of the circle -

Use pi times r^2

Since the answers are in pi form, we just need to do the "r^2" part. 3 is the radius, so 3 x 3 = 9. Now that we have found the area of the circle, we will need to multiply the area of the circle by the height of the cylinder. (9pi)(9) = 81pi cubic units. 81pi cubic units is the answer.

8 0
3 years ago
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (
Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

\bar X = 41.538

s = 5.317

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

\bar X = 43.615

s= 5.583

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

\bar X= 3.462

s = 0.443

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

\bar X = 41.538

s = 5.317

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

\bar X = 43.615

s= 5.583

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

\bar X= 3.462

s = 0.443

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0
3 years ago
Classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle:
Scorpion4ik [409]

Answer:

Acute

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90 degrees.

4 0
2 years ago
Other questions:
  • Find the third, fourth, and fifth terms of the sequence defined by
    10·2 answers
  • I need help with this
    13·1 answer
  • D(n) = 8 - 6(n - 1)d(n)=8−6(n−1)
    14·1 answer
  • We divide the number line into ___ so we know how far to move left or right when doing equations.
    13·1 answer
  • The point A = (7,4) is dilated from the origin by a scale factor r = 3. What are the coordinates of A' ?
    12·1 answer
  • Help? please- Can someone help me solve for x. Like you don't need to tell me the answer just how to. It's just a little hard fo
    6·2 answers
  • If AK= 29 what is KP?
    13·1 answer
  • PLZZ HELPP!!!Which statements are true about the circle shown below? Select three options.
    11·1 answer
  • The product of 12, x and y. Translate the following phrase into an algebraic expression. Do Not simplify.
    8·2 answers
  • the number of defectives in 10 different samples of 50 observations each is the following: 5, 1, 1, 2, 3, 3, 1, 4, 2, 3. what is
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!