All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High frequency EM is thought to be a cause of cancer; the lower frequencies associated with household current are generally assumed to be harmless. The following table summarizes the probability distribution for cancer sufferers and their wiring configuration in the Denver area.

Leukemia Lymphoma Other Cancers
High Frequency wiring 0.242 0.047 0.079
Low frequency wiring 0.391 0.098 ???
(a) What is the missing probability (labelled ???) in the above table?

(b) What is the probability of having high frequency wiring among cancer suffers in the Denver area?

(c) Is the event "Having Leukemia" independent of the event "Having high frequency frequency wiring"? Explain.

Answers

Answer 1

Answer:

[tex]x = 0.143[/tex]

[tex]P(High\ |\ Cancer) = 0.215[/tex]

Not independent

Step-by-step explanation:

Given

See attachment for proper table

Solving (a): The missing probability

First, we add up the given probabilities

[tex]Sum = 0.242+0.047+0.079+0.391+0.098[/tex]

[tex]Sum = 0.857[/tex]

The total probability must add up to 1.

If the missing probability is x, then:

[tex]x + 0.857 = 1[/tex]

Collect like terms

[tex]x = -0.857 + 1[/tex]

[tex]x = 0.143[/tex]

Solving (b): P(High | Cancer)

This is calculated as:

[tex]P(High\ |\ Cancer) = \frac{n(High\ n\ Cancer)}{n(Cancer)}[/tex]

So, we have:

[tex]P(High\ |\ Cancer) = \frac{0.079}{0.242+0.047+0.079}[/tex]

[tex]P(High\ |\ Cancer) = \frac{0.079}{0.368}[/tex]

[tex]P(High\ |\ Cancer) = 0.215[/tex]

Solving (c): P(Leukemia) independent of P(High Wiring)

From the attached table

[tex]P(Leukemia\ n\ High\ Wiring) = 0.242[/tex]

[tex]P(Leukemia) = 0.242 + 0.391 =0.633[/tex]

[tex]P(High\ Wiring) = 0.242+0.047+0.079=0.368[/tex]

If both events are independent, then:

[tex]P(Leukemia\ n\ High\ Wiring) = P(Leukemia) * P(High\ Wiring)[/tex]

[tex]0.242 = 0.633 * 0.368[/tex]

[tex]0.242 \ne 0.232[/tex]

Since the above is an inequality, then the events are not independent

All Current-carrying Wires Produce Electromagnetic (EM) Radiation, Including The Electrical Wiring Running

Related Questions

Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. How much would it cost Sarah to make 100 copies?

Answers

Answer:

$20

Step-by-step explanation:

5 copies cost $1.

25 copies cost $5.

So you have to do 100/5=$20 for 100 copies.

Answer:The answer is 20

Step-by-step explanation:

The sum of two numbers is 9 and their difference is 7. Find the two numbers.
8 and 1
4 and 5
6 and 3
9 and 0

Answers

Answer:

8 and 1

Step-by-step explanation:

? + ? = 9
? - ? = 7

8 + 1 = 9
8 - 1 = 7

Final Answer: 8 and 1

Have an amazing day!

Answer:

8 and 1

Step-by-step explanation:

The sum means that the two numbers added together make up what they're asking. Difference means you're subtracting between the two. For our purposes, we can just look at each answer option and firstly see which one has a difference of 7.

8-1=7

4-5=-1

6-3=3

9-0=0

And just to double check, we try adding 8 and 1, which is 9! Yay! :P

A cable 45 m long runs from the top of a utility pole to a point on the ground 40 m from the base of the pole. How tall is the utility pole, to the nearest tenth?
20.6 m


85 m


5 m


60.2 m

Answers

Answer:

20.6 m

Step-by-step explanation:

Hi there!

Assuming that the utility pole makes a 90-degree angle with the ground, this scenario creates a right triangle.

The 45 m-long cable is the hypotenuse and the 40 m between the base of the pole and the cable is one of the legs.

We must solve for the height of the utility pole, which is essentially the other leg of the right triangle.

We can use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex] where a and b are the legs and c is the hypotenuse

Plug in the known information (leg=40, hyp=45)

[tex]40^2+b^2=45^2\\1600+b^2=2025\\b^2=2025-1600\\b^2=425\\b=20.6[/tex]

Therefore, when rounded to the nearest tenth, the height of the utility pole is 20.6 m.

I hope this helps!

what is the percentage of 690 out of 800

Answers

Answer:

the percentage of 690 out of 800 is 86.25%

Step-by-step explanation:

690/800 = 0.8625

0.8625*100 = 86.25

hope it helped :)

mark me brainliest

Answer:

86.25%

Step-by-step explanation:

Plz help me solve this ASAP and show the work thank you

Answers

Answer:

14

Step-by-step explanation:

The diagram is right angle triangle so we can use SOHCAHTOA

So in the diagram we have 62 degree opposite to x and the hypotenuse

Step 1

Sin62=x/16

Step 2

X=16sin62 by cross multiplication

Step 3

X=14.13

X=14

2c(u-6)+(u-6) complete the expression

Answers

Answer:

the answer to the expression is u=4

[tex]\frac{5}{8}[/tex]· [tex]\frac{2}{3}[/tex]

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Multiply straight across and reduce.

[tex]\frac{5}{8}[/tex] · [tex]\frac{2}{3}[/tex] = [tex]\frac{10}{24}[/tex] = [tex]\frac{5}{12}[/tex]

Can someone please be generous and help me

Answers

Answer:

The point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]

The slope(m) can be calculated using [tex]\frac{y-y_{1} }{x-x_{1}}[/tex]:

[tex](x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3[/tex]

Using Point One, the point-slope form is determined as:

[tex]y-(-3)=3(x-4)\\y+3=3(x-4)[/tex]

The y-intercept(b) can be calculated as:

[tex](5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)[/tex]

identify the equation of the line graphed below

Answers

Its option (C)................

Order the steps and justifications in solving the system of linear equations. Equation 1: 4x+3y=8 Equation 2: −2x−3y=−4

Answers

Answer:

See explanation

Step-by-step explanation:

The two linear equations can be solved simultaneously;

4x+3y=8 -----(1)

−2x−3y=−4---(2)

If we multiply equation (1) by 1 and equation (2) by (2)

We have;

4x+3y=8 -----(3)

-4y - 6x = 4 ---(4)

Adding equation (3) and (4)

-3x = 12

x= -4

Substitute x = -4 into equation (1)

4(-4) + 3y = 8

-16 + 3y = 8

3y = 8 + 16

y= 24/3

y= 8

Hence;

x= -4 and y =8

Which of the following equations correctly represents the law of cosines?

A. 2 = 22 + b2 - 2ab.cos(B)
B. 2 = 22 + c2 - 2ac.cos(C)
C. a2 = b2 + c2 - 2bc.cos(A)
D. b2 = 22 +62 - 2bc.cos(B)

Answers

Answer:

D. b2 = 22 + 62-2bc.cos(B)

A car travels at a speed of x miles per hour for 3 hours and at half that speed for 2 hours. Which expression gives the total distance the car traveled in 5 hours?

Answers

Answer:

3x + (x/2) *2

Step-by-step explanation:

The distance for the first 3 hours is rate times time

x *3

The distance for the next 2 hours is rate times time

x/2 *2

Add them together to get the total distance

3x + (x/2) *2

What will you use if you are looking for the space bounded by a rectangle A. 2(I + w) B. S² C. B × h ________ 2 D. I × w

Answers

Answer:

A. 2(I + w)

Step-by-step explanation:

The space bounded by a rectangle is its perimeter. So, I would use 2(l + w) where l = length of rectangle and w = width of rectangle.

As an example, suppose we have a rectangle of length, l = 40 meters and width, w = 20 meters and seek to find its perimeter that is, the space bounded by the rectangle, we substitute the values of l and w into the equation for the perimeter.

So, P = 2(l + w)

substituting the values of l and w into the equation, we have

P = 2(l + w)

P = 2(40 m + 20 m)

P = 2(60 m)

P = 120 m

So the space bounded by the rectangle is 120 m.

So, to find the space bounded by a rectangle, we use 2(l + w).

So, the answer is A.

Using trial and improvement, find the solution between 5 and 6 for the following equation:

x

2

=

27

Give your answer rounded to 1 DP.

Answers

Answer:

2

Step-by-step explanation:

that is √ 14 which is 27 ×>44.2177

hi can you help me in mate plis simplify the following algebraic expressions​

Answers

Answer:

[tex] \frac{3 {x}^{2} }{ {y}^{2} {z}^{6} } [/tex]

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

Chứng minh a=(P.sinA/2)/(cosB/2.cosC/2)

Answers

Answer:

I can't understand your question friend.

. Out of 140 students, 50 passed in English and 20 passed in both Nepali and English. The number of students who passed in Nepali is twice the number of students who passed in English. Using a Venn-diagram, find the number of students who passed in Nepali only and who didn't pass in both subjects. ​

Answers

Answer:

80 ;

10

Step-by-step explanation:

Given :

Total number of students = μ = 140

Let :

Number of students who passed in English = E

Number of students who passed in Nepali = N

n(NnE) = 20

n(E) only = n(E) - n(NnE) = 50 - 20 = 30

Students who passed English only = 30

Number of students who passed in Nepali is twice the number who passed in English

n(N) = 2 * n(E) = 2 * 50 = 100

Number of students who passed in Nepali only

n(N) only = n(N) - n(NnE) = 100 - 20 = 80

Students who passed Nepali only = 80

The number who didn't pass both subjects :

μ - (English only + Nepali only + English and Nepali)

140 - (30 + 80 + 20)

140 - 130

= 10

What is X if
[-1 -2] +X = [-5 -1]
[4 8] [ 2 1]

A)
[-6 -3]
[6 9]

B)
[-6 -3]
[-2 -7]

C)
[-4 1]
[-2 -7]​

Answers

Answer:

I think that ans is A.....

plss, help me!!!

Each of four friends orders a sweatshirt from a catalog. There are 16 colors of sweatshirts, 7 of which are all cotton and 9 wich are blend. Each one orders a different color ( no repeats) at random. What is the probability that the friends order only cotton sweatshirts?​

Answers

Answer:  B) 1/52

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

Explanation:

Let's label the friends as A,B,C,D.

Person A has a probability of 7/16 when it comes to ordering a certain color of cotton sweatshirt.

Then 6/15 is the probability for person B. Note how the 7 and 16 drop by 1 for each. This is because no repeats are allowed. If person A goes for a blue sweatshirt, then person B cannot select blue as well.

Person C's probability is 5/14 and person D has a probability of 4/13

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

So we have these fractions: 7/16, 6/15, 5/14, 4/13

Once again, we have the numerators and denominators counting down by 1 each time.

Multiplying those fractions gets us...

(7/16)*(6/15)*(5/14)*(4/13)

(7*6*5*4)/(16*15*14*13)

840/43680

(1*840)/(52*840)

1/52

So if you did 52 trials of this, then you should expect about 1 of those trials is where each friend orders a different color cotton sweatshirt.

1/52 = 0.0192 = 1.92% approximately

So this happens about 1.92% of the time.

Determine the simplest expression for the area of shaded region below

Answers

Answer:

5x^2+3x^2+(3x+1)^2+(2x-4)^2

sketch the graph of xy = 3y² - 4​

Answers

Answer:

xy = 3y² - 4

Step-by-step explanation:

Hope it is helpful....

In the file i have attached, you will find the equation graphed, hope this helps.

Determine the length of AB.
16.3 units
23.6 units
5.7 units
14.9 units

Answers

Answer:

16.3

Step-by-step explanation:

i just took the quiz

Answer:

16.3 units

Step-by-step explanation:

Helloo, I just took the quiz too and the answer is 16.3

Mike was in charge of collecting contributions for the Food Bank. He received
contributions of:
$40, $80, $60, $40, and $100
Find the mean, median, and mode of the contributions.

Answers

What is mean: A mean is the simple mathematical average of a set of two or more numbers. To solve for it add all numbers together then divide by how many numbers are there. (Its best to put them in order)

$40 + $40 $60 + $80 + $100= $320/5= $64 is the mean

what is median: The median is the value separating the higher half of a data sample

40,40,60,80,100 (i like to cross it out so 40 and 100 cancle each other, another 40 and 80 cancel each other) now that you are left with only 1 number which is 60 that is the median.

What is Mode: the number that repeats the most

Mode is 40 because 40 repeats twice

Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. What fraction of tickets are available to sell on Saturday?

Answers

The question seems incomplete ; as the total number of tickets to be sold isn't given.

Answer:

61 / X

Step-by-step explanation:

Let's take the total Number of tickets to be sold as : X

Number of tickets sold on Thursday = 47

Number sold on Friday = 14

Fraction of tickets available for sale on Saturday :

(Total number of tickets already sold) / Total number of tickets to be sold

(Thursday + Friday sales) / total number of tickets to be sold

Fraction available for sale on Saturday = (47+14) / X

Fraction available for sale on Saturday = 61 / X

Kindly put value of x = total number of tickets available for sale to get the exact fraction.

Solve for x.

Help me please

Answers

Answer:

x = 24

Step-by-step explanation:

mathematically, in a cyclic quadrilateral, two opposite angles are supplementary

what this mean is that they add up to be 180

From what we have in the question, the two angles are supplementary and that means they add up to equal 180 degrees

thus, we have it that;

(4x + 9) + (3x + 3) = 180

4x + 3x + 9 + 3 = 180

7x + 12 = 180

7x = 180-12

7x = 168

x = 168/7

x = 24

Given a line segment that contains the points A,B, & C in order, if AB = x, BC = x, and AC is equal to 36, then x = _____.

Select one:
a. 18
b. 6
c. 36
d. 12

Answers

Answer:

a. 18

Step-by-step explanation:

AB+BC = AC

x + x = 36

2x = 36

x = 36/2

x = 18

Three coins are tossed and two dice are thrown at the same time. Find the probability of obtaining three heads and a total of 12 on the dice

Answers

Answer:

2/6 chance the dice be rolled to the total of 12

Iliana rotated trapezoid WXYZ 180° about the origin.

On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).

What is the correct set of image points for trapezoid W’X’Y’Z’?

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)

Answers

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

Step-by-step explanation:

The vertices of the trapezoid WXYZ are, W(-4, 2), X(-3, 4), Y(-1, 4), and Z(0, 2)

The coordinates of the image following the rotation transformation of the preimage (x, y) 180° about the origin is (-x, -y)

Therefore, following the rotation transformation of trapezoid WXYZ, the coordinates of the image W'X'Y'Z' are given as follows;

W(-4, 2) rotated 180° about the origin gives W'(4, -2)

X(-3, 4) rotated 180° about the origin gives X'(3, -4)

Y(-1, 4) rotated 180° about the origin gives Y'(1, -4)

Z(0, 2) rotated 180° about the origin gives Z'(0, -2)

Therefore, we get;

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2).

Answer:

Its A

Step-by-step explanation:

i just took the test.

Round 7874 to the nearest 100

Answers

Seven thousand eight hundred seventy four. You would eight to nine so 7900 would now be your answer.

Answer:

7900 is the round off to the nearest hundred

If you cut 20 lemons by half and then cut half of these halves by half, how many lemon parts will you have?

Answers

Answer: 40

Step-by-step explanation:

If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts we have

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given that 20 lemons are cut by half.

cut half of these halves by half.

We need to find how many lemon parts will you have.

Let us consider a lemon whic is 1

Now let us make it half 1/1/2=2

Now each part is divided to half =2/(1/2)=4

So for one lemon it has 4 parts.

Now let us find for 20 lemons.

Multiply 20 with 4

20×4

80 parts

Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts will you have

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ5

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