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vredina [299]
3 years ago
13

On a certain exam, Tony corrected 20 papers and found the mean for his group to be 60. Alive corrected the remaining 10 papers a

nd found that the mean for her group was 50. What is the mean of the combined group of 30 students?
Mathematics
1 answer:
Ksivusya [100]3 years ago
8 0

Answer:

The mean of the combined group of 30 students is equal to 56.67

Step-by-step explanation:

Let

x ----> The sum of the notes of the 20 papers

y ----> The sum of the notes of the 10 papers

we know that

60=x/20 -----> x=60*20=1,200

50=y/10 -----> y=50*10=500

The mean of the combined group of 30 students is equal to

(x+y)/30

substitute

(1,200+500)/30=56.67

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Just need help with this question, would like an explanation as to how you got the answer so I can know for further assignments!
MrRa [10]

Answer:

p=0, p=.25

Step-by-step explanation:

p*(4p-1)=0

p=0. when the product of factors equals zero at least one factor is zero

4p-1=0

p=1/4 or .25

7 0
3 years ago
Read 2 more answers
Two consecutive even integers have the following property. When the smaller integer is added to three times the larger integer,
polet [3.4K]
 let x be the first integer
 x+ 2 the second integer  ( two consecutive even ) 

smaller integer  added to three times the larger  <span>x + 3 ( x+2)
  </span>two less than five times the smaller  <span>5x - 2</span>

x + 3 ( x+2)   =  5x - 2

x+3x +6 = 5x -2 

x=8       
the first  integer = 8
the second is  x+2 =10 



4 0
3 years ago
How do you do this problems?
rewona [7]

x = 6

Step-by-step explanation:

It's based on similarity of triangles

DEF ~ △XYZ

\implies \mathsf{ \frac{DE }{ XY } =  \frac{EF}{YZ} =  \frac{ FD}{ZX}}

The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.

I'm using \mathsf{ \frac{DE }{XY } =  \frac{EF}{YZ} }to get the value of x.

[You can use any two fractions out of the three given above. ]

\implies \mathsf{ \frac{10}{x - 1} =  \frac{8}{4}  }

\implies \mathsf{ \frac{10}{x - 1} =  2  }

\implies \mathsf{ 10 =  2 (x - 1) }

\implies \mathsf{ 10 =  2 x - 2 }

\implies \mathsf{ 10  + 2=  2 x  }

\implies \mathsf{ 1 2=  2 x  }

\implies \mathsf{ x = 6 }

Hence, the value of x is 6.

5 0
3 years ago
Simplify to a single logarithm, using logarithm properties: ln(4^2) + ln (3^3)
Viefleur [7K]

Answer:

Step-by-step explanation:

4 0
3 years ago
A year ago, Leila wanted to buy a necklace that cost $25.00. This year the same necklace cost $30.00. What was the percent incre
Delicious77 [7]

Answer:

20 %

Step-by-step explanation:

% Increase = Increase/Original value × 100 %

Data:

 Original = $25

This year = $30

Calculations:

   Increase =  This year - original

                  =         30       -      25

                  =                   $5

% Increase = 5/25 × 100 %

                  = 20 %

The percent increase of the price of the necklace was 20 %.

4 0
3 years ago
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