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Marina86 [1]
3 years ago
8

If the average weight for cats is 12

Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

3 standard deviations

from the mean is 6 pounds to 18 pounds.

Step-by-step explanation:

The above question is solved using empirical rule

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the above question

μ = 12 pounds

σ = 2 pounds

Hence:.

3 standard deviations from the mean is calculated as

μ - 3σ

[12 - 3(2)] pounds

=( 12 - 6) pounds

= 6 pounds

μ + 3σ

[12 + 3(2)] pounds

=( 12 + 6) pounds

= 18 pounds

Hence,3 standard deviations

from the mean is 6 pounds to 18 pounds.

on:

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The planning department of abstract office supplies has been asked to determine what is the company should introduce a new compu
BabaBlast [244]

Answer:

<em>The company needs to sell 40 desks to break even</em>

Step-by-step explanation:

<u>Application of Equations</u>

There is virtually no limit to the possible situations where equations can help to find the solution of specific problems related to areas like economy, where one could need to establish some important indicators about the business.

B. The fixed cost for Abstract Office Supplies to sell a new computer desk is $14,000. Each desk will cost $150 to produce. The cost function to produce X desks is

C(x)=150x+14,000

A. The revenue for each desk is estimated at $500, for X desks will be

R(x)=500x

C. The company will break even when the cost and the revenue are the same. We'll find how many desks need to be sold for that to happen. We equate

C(x)=R(x)

Or equivalently

150x+14,000=500x

Rearranging

500x-150x=14,000

350x=14,000

Solving for x

x=14,000/350= 40

The company needs to sell 40 desks to break even

4 0
3 years ago
How can you solve 6+4/5B=9/10b
faltersainse [42]
6+\frac{4}{5}b=\frac{9}{10}b \ \ \ |-\frac{4}{5}b \\ \\&#10;6=\frac{9}{10}b-\frac{4}{5}b \\ \\&#10;6=\frac{9}{10}b-\frac{8}{10}b \\ \\&#10;6=\frac{9-8}{10}b \\ \\&#10;6=\frac{1}{10}b \ \ \ |\times 10 \\ \\&#10;b=60
8 0
3 years ago
There are 7 people in a room. Each person shakes hands once. How many handshakes will there be?
DiKsa [7]

7 people so first one shakes hand with the remaining people. that is 6

The 2nd person also shakes hand with 6 persons but we have already counted his handshake with first person. so we have to add 6-1 = 5 shakes for 2nd person

like wise 3rd person shakes hand with the remaining 6-2 = 4 people

4th person with 6-3=3 people

5th person with 6-4= 2 persons

6th person with 6-5=1 person

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since these people shake their hands with others only once we just have to add the obtained values

6+5 +4+3+2+1= 21

totally 21 handshakes will be there in that room

7 0
3 years ago
Solve the system of equations <br><br> y=2x+1<br> y=x^2+2x-8
Lemur [1.5K]

Answer:

(3,7) and (-3,-5)

Step-by-step explanation:

To solve the system of equations, graph both functions. The (x,y) point(s) where the functions intersect is the solution(s).

See attached picture.

7 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
meriva
Sin36=5/x

(x)sin36=5

x=5/sin36

x=8.5

8 0
3 years ago
Read 2 more answers
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