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kari74 [83]
3 years ago
15

A certain disease has an incidence rate of 0.2%. If the false negative rate is 8% and the false positive rate is 4%, compute the

probability that a person who tests positive actually has the disease.
Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:

32%

Step-by-step explanation:

Imagine 100000 people are tested.  

<u>Of these 100000:</u>

  • 10000080.02= 2000 will have the disease

<u>8% of them:</u>

  • 2000*0.08= or 160, will test negative and the remaining
  • 1840 will test positive.  

<u>Of the 98000 who do not have the disease, 4% will test positive:</u>

  • 98000*0.04= 3920 will test positive

<u>So of the:</u>

  • 1840+3920= 5760 total people who test positive,
  • 1840 will have the disease

<u>Thus, the probability is: </u>

  • 1840/​5760 ​​ ≈0.3194 = 32%

So, out of people who test positive actually 32% has the disease.

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Mr. Johnson currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 5
AlekseyPX

Answer:

Width of the rectangle = 10 feet

Length of the rectangle = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = x feet

Length of the rectangle = 3x - 5 feet

Perimeter of the rectangle = 70 feet

Perimeter of a rectangle = 2(length + width)

70 = 2{x + (3x - 5)}

70 = 2{x + 3x - 5}

70 = 2(4x - 5)

70 = 8x - 10

70 + 10 = 8x

80 = 8x

Divide both sides by 8

x = 80 / 8

= 10

Width of the rectangle = 10 feet

Length of the rectangle = 3(10) - 5

= 30 - 5

= 25 feet

6 0
2 years ago
Solve this problem using estimation.
crimeas [40]

$1.65 in the answer.

3 0
3 years ago
Helpppp me pleaseeeee
viva [34]

Answer:

hey love the answer is b hope this helps

Step-by-step explanati

5 0
3 years ago
PLEASE HELP ME! I am stuck on 12 and 13. Thanks in advanced! :D
Juliette [100K]

Answer:

75, 105

Step-by-step explanation:

12. 180-105 = 75

13. 105

8 0
2 years ago
Read 2 more answers
PLEASE, I AM DESPERATE! CAN ANYONE, HELP ME WITH MY MATH!
Andru [333]
(6,1)&(5,4)
(7,-3)&(4,-8)
(-8,0)&(1,5)
Basically, you are to find the line that passes through 2 points.
Equation: y2-y1=m(x2-x1)
• x1: 6, x2: 5, y1: 1, y2: 4
(4-1)/(5-6)=m
m=3/-1
m=-3
Hence, m= -3x10^0

• x1: 7, x2: 4, y1: -3, y2: -8
(-8--3)/(4-7)=m
m=(-8+3)/-3
m=-5/-3
m=5/3
m=1.66666667
Hence, m=1.6667x10^0

• x1: -8, x2: 1, y1: 0, y2: 5
(5-0)/(1--8)=m
m=5/(1+8)
m=5/9
m=0.55555556
Hence, m=5.56x10^-1

Hope this helps!



5 0
3 years ago
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