mr. walter is remodeling his house and wants to design a rectangular garden in the backyard. the width of the garden, W(A), in feet, is modeled by this equation, where A is the area of the garden, in square feet. (equation shown in image)
What is the rate of change of the garden’s width when the garden’s are changes from 289 square feet to 400 square feet?

Solution :

Here, we have 5 trails that corresponds to the 5 times the binary symbol is sent. On each trail, success is said to occur when the binary symbol is received correctly. The probability of a success is p = 1 - q = 0.9 and q = 0.1

Now if the 0 is being transmitted, then the 0 is sent 5 number of times and then we call the decoding a 0 success. Let the repeated transmission are independent. In this case, we have 5 trails. Let each repeated bit the receiver decodes as 1 a success, using the binomial probabilities. We using the [tex]$S_{k,5}$[/tex] to denote an event of [tex]$k$[/tex] successes in the 5 trails, then the probability k are decoded at the receiver is:

[tex]$P[S_{k,5}]=\binom{5}{k}p^k(1-p)^{5-k}$[/tex]

           [tex]$=\binom{5}{k}(0.9)^k(1-0.9)^{5-k}$[/tex]

           [tex]$=\binom{5}{k}(0.9)^k(0.1)^{5-k}$[/tex]    

Here, k = 1, 2, 3, 4, 5

The probability of the transmitted bit to be decoded correctly is:

[tex]$P[C]=P[S_{5,5}]+P[S_{2,5}]$[/tex]

         [tex]$=\binom{5}{3}(0.9)^5(0.1)^{0}+\binom{5}{4}(0.9)^4(0.1)^1$[/tex]

         [tex]$=(0.9)^5+5(0.9)^4(0.1)^1$[/tex]

         = 0.91854

The probability that the deletion occurs is

[tex]$P[D]=P[S_{3,5}]+P[S_{2,5}]$[/tex]

          [tex]$=\binom{5}{3}(0.9)^3(0.1)^{2}+\binom{5}{2}(0.9)^2(0.1)^3$[/tex]

         [tex]$=10(0.9)^3(0.1)^2+10(0.9)^2(0.1)^3$[/tex]

         = 0.081

The probability of an error is

[tex]$P[E]=P[S_{1,5}]+P[S_{0,5}]$[/tex]

          [tex]$=\binom{5}{1}(0.9)^1(0.1)^{4}+\binom{5}{0}(0.9)^0(0.1)^5$[/tex]

         [tex]$=5(0.9)^1(0.1)^4+(0.1)^5$[/tex]

         = 0.00046

Answer:

D, 94

Step-by-step explanation:

Angles of a triangle add up to 180 degrees.  180 - 29 - 65 = 86 Angles 1 and 2 add up to 180 degrees.  86 = 2  180 - 86 = 94 94 = 1

Hope this helps! If it did, please mark it as brainliest! It would help me out a lot! :D

Answer:

50

Step-by-step explanation:

im not that sure sorry

Answer:

The answer is 0.125.

Step-by-step explanation:

The forumla to find volume of a cube is a3. (Let a repersent 0.5) 0.5x0.5x0.5 is 0.125

Answer:

A

Step-by-step explanation:

Answer:

3 x 5 = 15

Step-by-step explanation:

To explain this in short, John has 5 gallons of 3 colors, meaning that 3 x 5 = 15 would be the appropriate equation to finish this question. I hope this helps!

Answer:

It will take 40 minutes to make and pack an order for 15 parts.

Step-by-step explanation:

That's the answer.

Answer:

It will take 40 minutes to make and pack an order for 15 parts.

Step-by-step explanation:

Answer:

it should be 152, can i please get brainliest

Step-by-step explanation:

Answer:

13 1/2 cups of fruit

Step-by-step explanation:

4 1/2+ 3 1/2= 8

8+ 5 1/2= 13 1/2

i hope this helps!!!

Answer:

Step-by-step explanation:

If the radius of the circle is 2mm, the circumference is 4π mm.

Arc length of the quarter circle = π mm.

Perimeter of the quarter circle = arc length + 2 radii = 4π + 4 mm = 16.56 mm

Answer:

The best value of k for the worker to use is 30.

Step-by-step explanation:

Sample of 120 jars from a set of 3,600.

If the worker will select every kth jar, what is the best value of k for the worker to use?

The best case would be starting at 0 and ending at 3600, finding 120 values, which means that k is given by the division of 3600 by 120. So

[tex]k = \frac{3600}{120} = \frac{360}{12} = 30[/tex]

The best value of k for the worker to use is 30.

Answer:

1.3n+2

2.2n+7

Step-by-step explanation:

for number 1.you are multiplying 3 and n which gives you 3n but 2 you cant because it dosent have a variable to times with it says plus instead of times.

and for number 2 it the same thing 2 times n equals 2n + 7 is 2n + 7 .

If this doesnt help then im sorry but this is how i know and yeah have a wonderful day.

Answer:

you plug in the numbers

Step-by-step explanation:

Please mark brainliest!!

Answer:

√x⁴-y²

x²-y²

(x+y)(x-y)

when

x=3

y=-6

√x⁴-y²=(3-6)(3+6)=-3×9=-27 is your answer

Answer:

the volume is 42 yds

Step-by-step explanation:

multiply 6x3x7=126

divide 126 by 3

126/3=42

Answer:

$24.92, $65

Step-by-step explanation:

1. $81 divided by 3.25 = 24.9230769231 = $24.92

2. $81 divided by 1.25 = $64.8, rounded could be $65.

sorry if I'm wrong :).

Answer:

20

Step-by-step explanation:

Answer:

tom is 8 and becky is 18 now

Step-by-step explanation:

in two years becky would be 20 and tom will be 10

hope this helps

Answer:

The height is 15

Answer

2.5/4

Step-by-step explanation:

If you do 1 1/4 divided by 2 that would equal 2.5/4 I hope that helps!

Answer:

26

Step-by-step explanation:

i need my points

Answer:

26?

Step-by-step explanation:

Answer:

Area = 183

Split the shape into two and calculate the area, or something

Answer:

25

Step-by-step explanation:

c to d is 5 to 4

5x5=25

fffff

Answer:

25

Step-by-step explanation:

We need to divide 20 by 4 to see how much 1 equals in this problem.

20÷4=5

5 equals 1

Now we add 5 to 20 because the ratio is 5:4.

20+5=25

Our answer is 25.

It is when two Angles add up to 90 degrees

for example 30 + 60

Answer:

A triangle

Step-by-step explanation:

The angles of a triangles are straight

therefore the triangle is a straight triangular shape

Step-by-step explanation:

g(x) = -X^2

which isn't an option.

Answer:

There are 8 pints to a gallon so she makes 120 gallons, and since she served 100 pints then there are 20 pints left over.

Brainliest please?

Answer:

A

Step-by-step explanation:

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The immediate cause for the revolt was the introduction of the new Enfield rifle to the British Indian Army.

Answer:

Indian soldiers were forced to use pig- and cow-based cartridges in their guns.

Step-by-step explanation: