Answer:
The probability that someone who tests positive has the genetic disease is approximately 0.166 or 16.6% who tests positive actually has the disease
Step-by-step explanation:
The number of persons in 10,000 people that have the disease = One
The percentage of people with the disease that test positive = 99.6%
The percentage of people who do not have the disease test positive = 0.05%
The probability that someone who tests positive has the genetic disease
[tex]P(disease | positive) = \dfrac{P(disease) \cdot P(positive | disease)}{P(disease) \cdot P(positive | disease) + P(nodisease) \cdot P(positive | nodisease)}[/tex]
P(disease) = 0.01% = 0.0001
P(positive disease) = 99.6% = 0.996
P(nodisease) = (10,000,000 - 100)/10,000,000 = 99.99% = 0.9999
P(positivenodisease) = 0.05% = 0.0005
Whereby 10,000,000 people are tested, 1000 out of the 1,000,000 will have the disease, 1,000 - 0.996 × 1000 = 4 people out of the 1,000 will test negative while 996 will test positive. From the 9,999,000 people who do not have the disease, 9,999,000 × 0.0005 = 4999.5 will give positive test results.
Therefore, the total number of people that tests positive = 4,999.5 + 996 = 5,995.5
Therefore, out of the 5,995.5 that test positive for the disease, 996 will test positive
The probability that someone who tests positive has the genetic disease, P(disease positive) = 996/5,995.5 ≈ 0.166 or 16.6%
Therefore, approximately 16.6% of the people that test positive for the disease actually has the disease
We have;
[tex]P(disease | positive) = \dfrac{0.0001 \times 0.996}{0.0001 \times 0.996 + 0.9999 \times 0.0005} = 0.16612459344[/tex]
Solve for r −11r+8=10r−13
Answer:
r=1
Step-by-step explanation:
[tex]-11r+8-8=10r-13-8\\\\-11r=10r-21\\-11r-10r=10r-21-10r\\-21r=-21\\\frac{-21r}{-21}=\frac{-21}{-21}\\r=1[/tex]
-2.15-5j=-1.8+2.1j-7.45
J=
Answer:
j = 1
Step-by-step explanation:
-2.15+1.8+7.45 = 2.1j + 5j
7.1 = 7.1j
7.1/7.1 = j
—3x —4 < 2 what is the answer to this
Answer:
What exactly does the < stand for in your problem?
Step-by-step explanation:
What I got was
-3 x -4 = 12
so it's 12 < 2
Answer:
X>-2
Step-by-step explanation:
im not sure what you want us to do so I solved for the inequality
A new movie theater holds 350 people with 14 seats in every row. Use division to find how many rows are there in the theater.
Answer:25
Step-by-step explanation:
350 / 14 =25
HELP LAST ATTEMPT !?!!
Answer:
x=11
Step-by-step explanation:
35=3x+2 [Vertically opposite angles]
35-2=3x
x=33/3
x=11
5. Suppose a set of math test scores is normally distributed with a mean of 100 (you do not need to know the standard deviation to answer this question, but you may find it helpful to plug in a standard deviation of your choice). If you randomly select a sample of scores from this distribution, which of the following probabilities is higher? Explain your answer.
a. The probability of the sample mean falling between 100 and 105 with a sample of 25 scores.
b. The probability of the sample mean falling between 100 and 105 with a sample of 36 scores.
Answer:
A
Step-by-step explanation:
It is more likely because there is less of a chance of an outlier. Hope this helps.
How do you do it? What do you take away and do after?
1. х2 - 3x = 16 solve quadratic
Answer:
[tex]\frac{3+/-i\sqrt{55} }{2}[/tex]
Step-by-step explanation:
[tex]x^2-3x=16[/tex]
Subtract 16 from both sides;
[tex]x^2-3x-16=0[/tex]
[tex]\frac{-(-3)+/-\sqrt{(-3^2)-4(-16)} }{2}=\frac{3+/-\sqrt{9-64} }{2}=\frac{3+/-\sqrt{-55} }{2}=\frac{3+/-\sqrt{55i^2} }{2} =\frac{3+/-i\sqrt{55} }{2}[/tex]
The average lifespans of 18 common species of turtles are shown below along with the five-number summary.
According to the 1.5 IQR rule for outliers, how many low outliers are there in the data set?
Answer:
There are 0 low outliers in the data set.
Step-by-step explanation:
The five-number summary tells us that Q1= 24 and Q3=40
Q1-1.5*IQR
=24-1.5*IQR
=24-1.5(40-24)
=24*1.5*16
=24-24
=0
Answer:
0
Step-by-step explanation:
1) 2x11 =
I don’t know how to do this
Answer:
22, Twenty Two
Step-by-step explanation:
A good way to look at multiplying 11 is that the number, if it’s under 10, will then be two of that number. For instance, 4 x 11 = 44, 6 x 11 = 66, and so on and so forth.
Hope This Helped!
What is the value of 5^3i^9?
A. -125i
B. -15i
C. 15i
D. 125i
Answer:
125i
Step-by-step explanation:
(5^3)(i^9)
=125(i^9)
=125i <-------????
Sorry not sure <:0
Write a quadratic equation in STANDARD FORM given the roots:
1, 1/2
Answer:
f(x) = 2x^2 - 3x + 1
Step-by-step explanation:
The root 1 is associated with the factor (x - 1).
The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)
The quadratic in question is f(x) = (x - 1)(2x - 1). To write this in standard form, perform the indicated multiplication:
f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1
Write an addition equation or a subtraction equation to describe the diagram
Answer:
x=-2+9
Step-by-step explanation:
The first line is negative 2 and the second line is positive nine.
Find the area of the figure. (Sides meet at right angles.)
15 yd
9 yd
9yd
5 yd
5 yd
5 yd
4 yd
4 yd
Answer:
115 square yards
Step-by-step explanation:
yeah-ya....... right?
The area of the figure is 115 yd².
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
A figure:
This can be assumed to have two rectangles and one square.
Two rectangles are equal with dimensions:
Length = 9 yd
Width = 5 yd
The square has side = 5 yd.
Now,
Area of the figure.
= 2 x area of rectangle + area of the square
= 2 x (length x width) + side²
= 2 x (9 x 5) + 5²
= 2 x 45 + 25
= 90 + 25
= 115 yd²
Thus,
The area is 115 yd².
Learn more about rectangles here:
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acorrding to its packaging, the circular base of desk lamp has a circumference of 18.84 inchesm What is the lamp bases diameter?
use 3.14 for pi.
PLEASE HELPP
The angles with measures x and (4x) are complementary angles.
Which is the value of x?
Answer:
x = 18
Step-by-step explanation:
Complementary means the angles add to 90
x + 4x = 90
5x = 90
5x/5 = 90/5
x = 18
The larger angle is 4*18 = 72
Everyday a zookeeper feeds 4 adult gorillas a total of 160 lb of food. At this rate, how many pounds of food would the zookeeper need everyday to feed 6 adult gorillas?
Answer:
240 lbs
Step-by-step explanation:
Each gorilla eats a total of 40lbs (found that by dividing the number of gorillas by the pounds, 4/160, which is 40.)
So now that you know the number of pounds for each gorilla, you multiply the pounds by your gorillas ( 40 * 6, which is 240)
Hope this helps!
Answer:
240 he would need 240 to feed 6 gorillas every day
How do I solve 1/2x = 4/5 + 1/4x
Answer:
take 1/4 to the other side since 1/2 and 1/4 are like terms then solve for X getting 16/5 as the answer
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How many blocks were in the picture
Answer:
where is the picture
Step-by-step explanation:
hello there
im looking for some help here thanks.
Answer:
divide 2 by 9
the result is 0.2 (repeats so need a bar over the 2) is a repeating decimal.
divide 3 by 10
the result is 0.3, is a terminating decimal.
both are rational and real numbers
Answer:
To change 2/9 to a decimal, divide 2 by 9.
The result, 0.222..., is a repeating decimal.
To change 3/10 to a decimal, divide 3 by 10.
The result, 0.3, is a ____ decimal. (I don't know the answer choices, but it would be the one that is the decimal not repeating).
Both 2/9 and 3/10 are irrational numbers.
Step-by-step explanation:
2/3 times 21 in simplest form
Answer: 14
Step-by-step explanation:
you would write 2/3 X 21/1 and you would multiply 21 X 2 which is 42 divide that by 3 and you get 14
Consider the graph of rational function
fo)
6
-6
-2
10
2
4
O
-2
Which equation represents function
A f(3) =
$+ 12
B. 163) = 22 +5-6
oc f(3) = =+2
OD. 1) = 1 + = -6
119
45 - 3
Answer:That would be B
Step-by-step explanation:
please show work if needed if not then just answer:)
Answer:
Not here.
Step-by-step explanation:
F. The converse of the conditional.
The converse would state the following:
"If it is January, then it is winter in the United States" (Original).
"If it is winter in the United States, then it is January" (Converse).
It is not true, as it can be December, January, or February during the winter season.
G. The inverse of the conditional.
The inverse would state the following:
"If it is January, then it is winter in the United States" (Original).
"If it is not January, then it is not winter in the United States" (Inverse).
Again, as the above states, the winter season encompasses more than just the month of January.
H. The contrapositive of the conditional.
The contrapositive would state the following:
"If it is January, then it is winter in the United States" (Original).
"If it is not January, then it is not winter in the United States" (Contrapositive).
Again, there is more than just January in the winter season.
~
Determine the value of x.
X 1
X 1.5
A)x=1
B)x=2.5
C)x=2
D)x=2.9
Answer:
The correct option is C. (x=2)
Step-by-step explanation:
Given
Length of the hypotenuse of the right angled triangle (h) = 2.5 cm
Length of one of the side (a) = 1.5 cm
Let the length third side be 'b' cm
By Pythagoras theorem
h² = a² + b²
Adding Values on both sides
⇒ (2.5)² = (1.5)² + b²
⇒ 6.25 = 2.25 + b²
⇒ 6.25 - 2.25 = b²
⇒ 4 = b²
⇒ √4 = b
⇒ 2 = b
⇒ b = 2
A math teacher graded 45 problems in 3/5 of an hour. At that rate, how many problems can she grade in 1 hour?
Answer:
75 questions
Step-by-step explanation:
[tex]45[/tex] ÷ [tex]\frac{3}{5}[/tex] of an hour
[tex]\frac{3}{5} =36[/tex]
[tex]45[/tex] ÷ [tex]36[/tex] minutes
= 1.25
1.25 times 60 = 75 questions
Sarah's grandmother has a square blanket that covers an area of 25 square feet. Sarah wants to put a string of pearls around the sides of the blanket. How many feet long will the string of pearls have to be for Sarah to complete the job?
Answer:
20 ft
Step-by-step explanation:
area of square = (side)^2
area of square = 25 ft^2
(side)^2 = 25 ft^2
side = 5 ft since (5 ft)^2 = 25 ft^2
The side of the square measures 5 ft.
All around the square is the perimeter.
perimeter = 4 * side
perimeter = 4 * 5 ft
perimeter = 20 ft
Answer: 20 ft
I have 18 tens and 22 ones what am
I
Answer:
A number. :) lol
Step-by-step explanation:
Yadmine scored 104 points for attempting all 40m questions. If she was awarded 5 points for every correct answer and had 3 points deducted for every incorrect answer, how many questions did Yasmin answer incorrectly?
Using a system of linear equation to represent the problem given, there are 12 incorrect answers given
Points per correct score = 5 Points deducted per incorrect score = 3 Number kd questions answered = 40Let :
Number of correct answers = cWe could create an equation thus:
5(c) - 3(40 - c) = 104
Expand
5c - 120 + 3c = 104
8c = 104 + 120
8c = 224
c = (224 ÷ 8)
c = 28
Number of incorrect answers = 40 - 28 = 12
Therefore, there are 12 incorrect answers
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Jim has a bank account balance of $-15.46 as soon as he realizes this he deposit $25.50 in the account what is James bank account balance after the deposit is made
$10.4 maybe I don't really know
What is the value of each expression 12 x 1/8 in simplest form?
Answer:
1 1/2
Step-by-step explanation:
12 x 1/8 =
12/1 x 1/8 =
12/8 =
3/2 =
1 1/2 (1.5)
*At Step #3, 4 goes into both numbers to get 3/2. But, The simplest form is 1 1/2 (1.5)