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Slav-nsk [51]
3 years ago
11

A theatre has 15 seats in the first row, 20 seats in the second row, 25 seats in the third row, and so on. Write the linear equa

tion represents the number of seats,n, in each row,r?
Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer: The answer is (n = 5r + 10).


Step-by-step explanation: Given that in a theatre, there are 15 seats in the first row, 20 seats in the second row, 25 seats in the third row, etc.

We are to write the linear equation that represents the number of seats 'n' in each row 'r'.

Now,

Number of seats in the 1st row = 15 = 5 × 3 = 5 × (1+2),

number of seats in the 2nd row = 20 = 5 × 4 = 5 × (2+2),

number of seats in the 3rd row = 25 = 5 × 5 = 5 × (3+2), etc...

Therefore, number of seats 'n' in the r-th row is given by the following linear equation -

n = 5 × (r+2), i.e., n = 5r + 10.

Thus, the required linear equation is n = 5r + 10.


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In a genetics experiment on peas, one sample of offspring contained green peas and yellow peas. Based on those results, estimate
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Complete Question

In a genetic experiment on peas, one sample of offspring contained 436 green peas and 171 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected? The probability of getting a green pea is approximately: Is the probability reasonably close to 3/4?

Answer:

The  probability is  P(g) =0.72

Yes the result is reasonably close

Step-by-step explanation:

From the question we are told that

   The  number of  of  green peas is  g =  436

     The number of yellow peas is  y  = 171

   The sample size is  n  =  171 +  436 =  607

The probability of getting an offspring pea that is green is mathematically represented as

       P(g) = \frac{g}{n}

        P(g) = \frac{436}{607}

        P(g) =0.72

Comparing  P(g) =0.72  to   \frac{3}{4}  =  0.75 we see that the result is reasonably close

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c. Thus, 13/23 of customers on payment plan B use the phone most often to text

Hope this helps :)

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