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Assoli18 [71]
4 years ago
7

The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 24 B, and 36 C. Show th

e frequency and relative frequency distributions

Mathematics
1 answer:
In-s [12.5K]4 years ago
8 0

Answer:

See the table and the digure attached

Step-by-step explanation:

For this case we can create the following table to express the information:

Category   Frequency    Rel. Frequency

_______________________________

    A                 60                 0.5 (50%)

    B                 24                 0.2 (20%)

    C                 36                 0.3 (30%)

_______________________________

 Total              120                1.0  (100%)

The values for the relative frequencies are calculated like this:

r_A= \frac{60}{120}=0.5

r_B= \frac{24}{120}=0.2

r_C= \frac{36}{120}=0.3

And as we can see on the figure attached we have the distributions required

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Is (1,-3) is a solution of the equation 8p-2q=14?
PSYCHO15rus [73]

Answer: YES

<u>Step-by-step explanation:</u>

  8p - 2q = 14

8(1) - 2(-3) = 14

8   -    -6   = 14

 8    +   6  = 14

       14      = 14

            TRUE

8 0
3 years ago
Read 2 more answers
Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every q
mojhsa [17]

Answer:

The price of the house is $ 853,735.05.

Step-by-step explanation:

Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:

300,000 + (15,000 x 12 x 8) = X

300,000 + (180,000 x 8) = X

300,000 + 1,440,000 = X

1,740,000 = X

X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000

X x (1 + 0.0225) ^ 32 = 1,740,000

X x 1.0225 ^ 32 = 1,740,000

X x 2.0381030257737 = 1,740,000

X = 1,740,000 / 2.03810

X = 853,735.05

Therefore, the price of the house is $ 853,735.05.

5 0
3 years ago
HELP ME PLEASEE
Nina [5.8K]

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

========================================================

Explanation:

r = common ratio

  • first term = 4
  • second term = (first term)*(common ratio) = 4r
  • third term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

  • 5x = 4r
  • 4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

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

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

  • a = 4 = first term
  • r = 2, since we want all the terms to be positive
  • n = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092

8 0
3 years ago
One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is580 ​,
jenyasd209 [6]

Answer:

x = 60

1) 60

2) 360

3) 160

60 + 360 + 160 = 580

Step-by-step explanation:

1) x

2) 6x

3) x + 100

x + 6x + x + 100 = 580

8x = 580 - 100

x = 480/8

x = 60

7 0
3 years ago
The maximum height of a vehicle that can safely pass under a bridge is 12 feet 5 inches. A truck measures 162 inches in height.
Nutka1998 [239]
It would not pass under the bridge because ig you divide 162 by 12 it would equal 13.5
4 0
4 years ago
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