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
Oksana_A [137]
3 years ago
6

In a class of P students, the average of test scores is 70. In another class the average test scores is 92. When scores of the t

wo classes are combined the average of test scores is 86. what is the value of p/n
Mathematics
1 answer:
Basile [38]3 years ago
7 0

So, since averages are defined as:

\frac{\sum_{k=1}^{P} P_k}{P}=70

So, since P are the total number of elements and P_k is the P_kth student. This is saying if we sum over each student's score and divide it by the number of students, we should get P, which is true.

So, using that logic, the other class can be represented as:

\frac{\sum_{k=1}^{N} N_k}{N}=70

We can take both of these equations and multiply them by N:

\sum_{k=1}^{P} P_k=70P

\sum_{k=1}^N N_k=92N

So, if we want to find the average of this we should add both our equations then divide by P+N, which is the number of all the students.

\frac{\sum_{k=1}^{P} P_k+\sum_{k=1}^{N}N_k}{N+P}=\frac{70P+92N}{N+P}

To make this simpler we can replace our LHS with 86, since that's the average of both classes combined.

86=\frac{92N+70P}{N+P} \implies\\ 86N+86P=92N+70P \implies \\ 16P=6N \implies \\ \frac{16P}{N}=6 \implies \\ \frac{P}{N}=\frac{6}{16}

Simplified we would have P/N=3/8.

You might be interested in
What kind of molecule is represented in the diagram?
love history [14]
B. Lipid because it contains Fatty Acid And Glycerol
4 0
3 years ago
Read 2 more answers
A sinusoidal function whose period is 4π, maximum value is 6, and minimum value is -2 has a y intercept of 6. What is the equati
IRINA_888 [86]

Equation of the function: f(x) = 4 sin (x/2) + 6.

<h3>What is sinusoidal function ?</h3>

The term sinusoidal is used to describe a curve, referred to as a sine wave or a sinusoid, that exhibits smooth, periodic oscillation. It is named based on the function y=sin(x).

Given: max value= 6, min value= -2, y-intercept= 6.

As, standard form f(x) = A sin (ωx +φ) + k,

where A is the amplitude, ω is the angular velocity with ω=2πf.

Now,

A = |6- (-2)/2|

A = |6 +2/2| = 8/2

A = 4

Also, ω:

The period of a sinusoidal is T = 1/f

so, f = 1 / T

ω = 2πf

ω = 2π ( 1/T) with T = 4π

ω = 2π (1/(4π) = 2π (2)

ω = 1/2

The y-intercept k = 6

So, equation with values A =4, ω = 1/2, k = 6, φ = 0.

f(x) = A f(x)

f(x) = A sin (ωx +φ) + k

f(x) = 4 sin (x/2) + 6.

Hence, equation of the function f(x) = 4 sin (x/2) + 6.

Learn more about this concept here:

brainly.com/question/26315885

#SPJ1

4 0
2 years ago
A line goes through the point (-3,2) and has a slope of 1. Write the equation of this line in standard form .
asambeis [7]

Answer:

y - 2 = x + 3

y = x + 5

-x + y = 5 standard form

4 0
3 years ago
Hey can you help me fast!!!
scZoUnD [109]

Answer:

Area= 4 ft²

Step-by-step explanation:

Area= (2)(2)

multiply 2 × 2= 4

Area= 4 ft²

-------------------------

hope it helps...

have a great day!!

4 0
3 years ago
30 PTS <br> NEED ASAP!!!!!
Vsevolod [243]

Answer:

I think is it 27 divided by 3 or 3/27

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • I am thinking of n consecutive positive integers, the smallest of which is m. What formula represents the largest of these integ
    12·2 answers
  • Three less than the sum of four times a number and six is eight. Find the number.
    11·2 answers
  • Help thx!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·1 answer
  • What is a array of 50
    14·1 answer
  • A pack of 12 sodas costs $ 5.04. what is the unit rate in dollars per soda?
    11·1 answer
  • (ab² + b²a) - (-2b+a²) = ?​
    15·1 answer
  • Please Help Algebra II
    7·1 answer
  • Solve this equation 13(y+7)=3(y−1)
    8·2 answers
  • The length of a rectangle is 3 inches less than three times its width. The perimeter of the rectangle is 34 inches. Find the dim
    7·1 answer
  • Give the equation for a circle with the given center and radius. center at (-1, 3), radius = 4
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!