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nata0808 [166]
3 years ago
7

If 99 students had a mean quiz score of 82, how much is the mean score increased by the addition of a single score of 99? Explai

n.
Mathematics
1 answer:
Leviafan [203]3 years ago
8 0
The Mean would increase to 82.17 or a total increase of .17

You have 99 students and the avg is 82, therefore we can multiply 99*82 to get our total points

99*82=8118
We add a single score of 99 to our total points 8118+99= 8217

Then we add the student to the total number of students bringing it to 100 and divide our new total by the our new number of students. 
8217/100 = 82.17
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Claire is a manager at a toy packaging company. The company packs 80 boxes of toys every hour for the first 3 hours of the day.
Stells [14]

Answer:

See the attached figure.

Step-by-step explanation:

Modeling each part as a function.

Let x is hours of the working day

The company packs 80 boxes of toys every hour for the first 3 hours of the day. ⇒ y₁ = 80 x , x ∈ [0,3]

At the end of the 3 hours The company packs = 80 * 3 = 240

They stop packaging for the next 2 hours in order to carry out a training session. ⇒ y₂ = 240 , x ∈ [3,5]

Then, for the next 4 hours, they pack 20 boxes of toys every hour

y₃ = 20x + c , x ∈ [5,9]

To find c, y₂ = y₃ at x =5

∴ 240 = 20 * 5 + c

∴ c = 240 - 20 * 5 =240 - 100 = 140

∴ y₃ = 20x + 140 , x ∈ [5,9]

So,

y₁ = 80 x , x ∈ [0,3]

y₂ = 240 , x ∈ [3,5]

y₃ = 20x + 140 , x ∈ [5,9]

The graph models the piecewise function for the given situation is as shown in the attached figure.

8 0
3 years ago
Read 2 more answers
Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
vesna_86 [32]

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

5 0
2 years ago
Suppose that the population of deer in a state is 1,500 and is growing 2% each year. Predict the population after 4 years. Quest
MaRussiya [10]
(1.02(1.02(1.02(1.02(1500))))) = 1623.64

1623 deer after 4 years
7 0
3 years ago
URGENT
Zepler [3.9K]

Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere (V) = 4/3 π radius³

Replacing with the values given and solving for V (volume)

V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters

The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
The Blazers hockey team has won 7 of its first 12 games.
Step2247 [10]

Answer:

The Rockets' team has the better record.

Step-by-step explanation:

  • The Blazers hockey team has played 12 games but they won only 7 out of the 12 games, so that means that they loss the other 5 games. So that makes the Blazers record 7 wins and 5 losses.

  • The Rockets' team has played 8 games but they won only 5 out of the 8 games, so that means that they loss the other 3 games. So that makes the Rockets' record 5 wins and 3 losses.

  • So, the Rockets' team has the better record because they loss less games than the Blazers team did.
4 0
3 years ago
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