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sergey [27]
3 years ago
14

I need help with 27. Please provide an explanation.

Mathematics
1 answer:
love history [14]3 years ago
6 0

This is an algebra problem pretending to be geometry.  The perimeter is the sum of the sides.  Geometry done.

3x + (2x + 1) + 2(x + 4) = 37

7x + 9 = 37

7x = 28

x = 4

Choice B


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A store selling newspapers orders only n = 4 of a certain newspaper because the manager does not get many calls for that publica
umka2103 [35]

Answer:

a) The expected value is 2.680642

b) The minimun number of newspapers the manager should order is 6.

Step-by-step explanation:

a) Lets call X the demanded amount of newspapers demanded, and Y the amount of newspapers sold. Note that 4 newspapers are sold when at least four newspaper are demanded, but it can be <em>more</em> than that.

X is a random variable of Poisson distribution with mean \mu = 3 , and Y is a random variable with range {0, 1, 2, 3, 4}, with the following values

  • PY(k) = PX(k) = ε^(-3)*(3^k)/k! for k in {0,1,2,3}
  • PY(4) = 1 -PX(0) - PX(1) - PX(2) - PX (3)

we obtain:

PY(0) = ε^(-3) = 0.04978..

PY(1) = ε^(-3)*3^1/1! = 3*ε^(-3) = 0.14936

PY(2) = ε^(-3)*3^2/2! = 4.5*ε^(-3) = 0.22404

PY(3) = ε^(-3)*3^3/3! = 4.5*ε^(-3) = 0.22404

PY(4) = 1- (ε^(-3)*(1+3+4.5+4.5)) = 0.352768

E(Y) = 0*PY(0)+1*PY(1)+2*PY(2)+3*PY(3)+4*PY(4) =  0.14936 + 2*0.22404 + 3*0.22404+4*0.352768 = 2.680642

The store is <em>expected</em> to sell 2.680642 newspapers

b) The minimun number can be obtained by applying the cummulative distribution function of X until it reaches a value higher than 0.95. If we order that many newspapers, the probability to have a number of requests not higher than that value is more 0.95, therefore the probability to have more than that amount will be less than 0.05

we know that FX(3) = PX(0)+PX(1)+PX(2)+PX(3) = 0.04978+0.14936+0.22404+0.22404 = 0.647231

FX(4) = FX(3) + PX(4) = 0.647231+ε^(-3)*3^4/4! = 0.815262

FX(5) = 0.815262+ε^(-3)*3^5/5! = 0.91608

FX(6) = 0.91608+ε^(-3)*3^6/6! = 0.966489

So, if we ask for 6 newspapers, the probability of receiving at least 6 calls is 0.966489, and the probability to receive more calls than available newspapers will be less than 0.05.

I hope this helped you!

8 0
3 years ago
Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost
Mama L [17]
2X=Y

2 because it is two dollars per pound.
8 0
3 years ago
Read 2 more answers
A student researcher conducts an experiment that investigates the effects of a new mathematics website on student achievement. S
pickupchik [31]

Answer:

A, B and C

Step-by-step explanation:

A. Adding another researcher to provide ratings will make the study less biased.

B. A quiz or exam will show which students have a better understanding of the math material. Better quiz or exam results show that the site is more effective for a student with or without the supplemental instruction.

C. Having a greater sample size is better because a greater scope of students is covered. Different students have different abilities and learning preferences.

8 0
3 years ago
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Sue Brown is a salesperson at a car dealership. She earned a gross pay of $8000 for the month of June. Her state tax rate is 3.5
Neporo4naja [7]

Sue Brown owes $280.00 in state taxes for the month.

Step-by-step explanation:

Given,

Gross pay of Sue in June = $8000

Tax rate = 3.5%

As full amount is taxable; therefore

Amount of tax to be paid = 3.5% of pay of June

Amount of tax to be paid = \frac{3.5}{100}*8000

Amount of tax to be paid = 0.035*8000

Amount of tax to be paid = $280.00

Sue Brown owes $280.00 in state taxes for the month.

Keywords: percentage, multiplication

Learn more about percentage at:

  • brainly.com/question/11921476
  • brainly.com/question/1232765

#LearnwithBrainly

4 0
3 years ago
Solve the equation.<br> 4x + 1 + 2x = 61<br><br> 6<br><br> 10<br><br> 10.3<br><br> 11.8
poizon [28]

Answer:

x = 10

Step-by-step explanation:

=> 4x + 1 + 2x = 61

=> 6x = 61 - 1

=> 6x = 60

=> x = 60/6

=> x = 10

<u>Hence</u><u> </u><u>the</u><u> value</u><u> of</u><u> x</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u> </u><u>.</u>

3 0
2 years ago
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