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Ilia_Sergeevich [38]
3 years ago
10

A rectangular picture measuring 5 in. by 9 in. is surrounded by a frame with uniform width x. Write a quadratic function in stan

dard form to show the combined area of the picture and fram
Mathematics
2 answers:
disa [49]3 years ago
6 0
A=(5+2x)(9+2x)

A=45+10x+18x+4x^2

A=4x^2+28x+45

dedylja [7]3 years ago
4 0
(x.x)-(5x9)= Combined area of the picture and frame. 
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rosijanka [135]

Answer:

I believe the answer to this question is: (-3,1) X=-3, Y=1.

6 0
3 years ago
Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find
liberstina [14]

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval. The variance is the same as the mean.

Average rate of 56 calls per hour:

This means that \mu = 56n, in which n is the number of hours.

Find the average and standard deviation of the number of service calls in a 15-minute period.

15 minute is one fourth of a hour, which means that n = \frac{1}{4}. So

\mu = 56n = \frac{56}{4} = 14

The variance is also 14, which means that the standard deviation is \sqrt{14} = 3.74

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

4 0
3 years ago
HELP HELP HELP HELP help help
SVETLANKA909090 [29]

Answer:

r  = 6

Step-by-step explanation:

To get the value of r we will use the pythagoras theorem a shown;

PR² = QR² + PQ²

(4+r)² = 8² + r²

Expand

16+8r+r² = 64 + r²

16 + 8r = 64

8r = 64 - 16

8r = 48

r = 48/8

r = 6

Hence the value of r is 6

7 0
3 years ago
mai has 36$ to spend on movie tickets each movie ticket cost 4.50$ how many ticket can she buy multiplication problem
-Dominant- [34]

Answer:

8

Step-by-step explanation:

Mai has $36 and each movie ticket is $4.50.

You wanna divide 36 by 4.50 to find out how much tickets she can purchase which is 8.

6 0
2 years ago
Jill and Gary share £63 in the ratio 2:5<br> Work out how much each person gets.
irina [24]

Answer:

Jill gets €18 Gary gets €45.

Step-by-step explanation:

First you add the two numbers of the ratio together. 2+5=7. Then you divide the constant, 63, by the total of the ratio, 7. 63/7=9. Then you multiply each number of the ratio by the quotient. 2 x 9= 18. 5 x 9= 45.

4 0
3 years ago
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