Answer:
0.00002 = 0.002% probability of actually having the disease
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test
Event B: Having the disease
Probability of having a positive test:
0.05 of 1 - 0.000001(false positive)
0.99 of 0.000001 positive. So
[tex]P(A) = 0.05*(1 - 0.000001) + 0.99*0.000001 = 0.05000094[/tex]
Probability of a positive test and having the disease:
0.99 of 0.000001. So
[tex]P(A \cap B) = 0.99*0.000001 = 9.9 \times 10^{-7}[/tex]
What is the probability of actually having the disease
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{9.9 \times 10^{-7}}{0.05000094} = 0.00002[/tex]
0.00002 = 0.002% probability of actually having the disease
Pet plus sells 12 cans of dog food for $9.60 . What is the price per can?
Answer and Step-by-step explanation:
To find the amount of dollars per can of dog food, we divide the price by the amount of cans bought.
9.6 divided by 12 equals 0.8.
$0.8 is the answer.
absolute value |27 1/4|
Answer:
421/33
Step-by-step explanation:
the area of this triangle ?
Answer:
8 cm
Step-by-step explanation:
Use pythagorean theorem to find the height (a and b are equal):
[tex]a^2+b^2=16\sqrt{2}^2\\a^2+a^2=16\sqrt{2}^2\\2a^2=16\sqrt{2}^2\\2a^2=16(2)\\a^2=16\\a=\sqrt{16}\\a=4[/tex]
Area is half of the base times height. Base and height are equal for this triangle.
[tex]\frac{1}{2}(4)(4)\\\frac{1}{2}(16)\\8[/tex]
Can you help me please
Answer:
its 2nd one
Step-by-step explanation:
Apollo Cinemas opened at 10 a.m. In the first hour they sold tickets to 240 people. In the second hour 25% more people purchased admission tickets than in the first hour. Each admission ticket cost $12.50. What was the total amount of money paid for all the tickets in the first two hours?
Answer:
$312.50
Step-by-step explanation:
240 + 25% = 300
300 + 12.50 =
312.50
8 The cost of a laptop increased by 25% between
2015 and 2019
In 2019. the laptop cost £1000
How much did the laptop cost in 2015?
Given:
The cost of a laptop increased by 25% between 2015 and 2019.
In 2019, the laptop cost £1000.
To find:
The cost of the laptop in 2015.
Solution:
Let x be the cost of the laptop in 2015.
The cost of a laptop increased by 25% between 2015 and 2019. So, the cost of the laptop in 2019 is
Cost of laptop in 2019 = [tex]x+\dfrac{25}{100}x[/tex]
= [tex]x+0.25x[/tex]
= [tex]1.25x[/tex]
In 2019, the laptop cost £1000.
[tex]1.25x=1000[/tex]
[tex]x=\dfrac{1000}{1.25}[/tex]
[tex]x=800[/tex]
Therefore, the cost of the laptop in 2015 is £800.
Suma a 5 numere consecutive pare egale cu diferenta numerelor 397 si 327. Care sunt numerele?
Va rog repede dau coroana.Cu intrebari si metoda figurativa clasa a ||| a
Answer:
Step-by-step explanation:
n+(n+1)+(n+2)+(n+3)+(n+4) = 397-327
5n+10 = 70
n = 12
numerele consecutive sunt 12, 13, 14, 15, 16
A sum of money is divided among Khairul, Michael and Ethan in the ratio
6:4: 5. After Khairul gives $30 to Michael and $15 to Ethan, the ratio
becomes 7:6:7. Find the amount of money Khairul had initially.
Answer:
$360
Step-by-step explanation:
The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.
This would be 6x : 4x : 5x
Khairul gives $30 to Michael and $15.
The ratio is. Now;
(6x - 45) : (4x + 30) : (5x + 15)
We are told this is equal to the ratio 7:6:7
Thus;
((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7
(10x - 15)/(5x + 15) = 13/7
Factorize the left hand side;
5(2x - 3)/5(x + 3) = 13/7
5 will cancel out to get;
(2x - 3)/(x + 3) = 13/7
Cross multiply to get;
7(2x - 3) = 13(x + 3)
14x - 21 = 13x + 39
14x - 13x = 39 + 21
x = 60
Amount Khairul had initially was denoted as 6x.
Thus,6x = 5 × 60 = $360
To prepare for school you need 3 notebooks for $1.09 each, 2 boxes of pencils for $2.68 each and a pack of markers for $0.89. How much will this cost?
ASAP ill give brainliest
Answer:
$9.52
Step-by-step explanation:
1.09 x 3 = 3.27
2.68 x 2 = 5.36
3.27+5.36+.89=9.52
What day of the week was September 16, 1921?
3 points
Captionless Image
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Answer:
Friday
Step-by-step explanation:
pls help quick Graph the inequality on a number line
Answer:
Your welcome
Step-by-step explanation:
identify the slope in -4x+3y=26
What is the missing number?38/152 19/?
A.76
B.78
C.86
D.304
plz plz plz plz hury
Answer:
76
Step-by-step explanation:
Hope this helps
Answer:
A
Step-by-step explanation:
Mumuni Bawumia, a farmer sells 500 litres of fresh milk a day with a standard deviation of 35 litres. Given that the daily sales of fresh milk is normally distributed, what is the probability that the sales in any single day is:
a. Greater than 506 litres
b. Between 498 litres and 506 litres.
Answer:
a: 0.43194
b: 0.09084
Step-by-step explanation:
First construct the z values for 498 and 506.
[tex]z=\frac{x-u}{s}[/tex]
[tex]z(498)=\frac{498-500}{35}[/tex]=-0.05714
z(506)=(506-500)/35=0.17143
Check the cumulative normal distribution tables to find
P(x<=-0.05714)=0.47722
P(x<=506)=0.52278
These probabilities imply that
P(x>506)=1-P(x<=506)=1-0.52278=0.43194
P(498<=x<=506)=P(x<=506)-P(x<=498)=0.09084
The Continental Drift Hypothesis asserts that
our continents have been for millions of
years.
a Decreasing
b Rising
C Moving
d Growing
The table shows the number of volleyballs that fit into a given number of containers. Each container holds the same number of balls. Enter the missing value from the table.
Answer: 7
Step-by-step explanation:
It's a 1 : 3 ratio so the answer should be 7
A car weighs 4,000 pounds wich comparison is true
A.4,000 pounds < 2 tons
B. 4,000 pounds > 2 tons
C. 4,000 pounds < 8,000 ounces
D. 4,000 pounds = 2 tons
Answer:
D
Step-by-step explanation:
2000=1 ton so 4000=2tons
Answer:
D 4000 pounds=2 tons
Step-by-step explanation:
2 tons is equal to 2000 pounds so 2 tons equal to 4000 pounds.
A water cooler holds 18 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters) (3 points)
3 gallons
4 gallons
5 gallons
14 gallons
Answer:
i think its approximately 5 gallons because if you do 4 gallons it would be 15.14 liters and if u do 5 gallons it would be 18.925 liters its the one that is a little more close i think
Answer:
5 liters
Step-by-step explanation:
Find the unit price.
9 colored pencils for $2.88
$ per colored pencil
(Type an integer or a decimal.)
Answer:
32 cents I think I might be wrong I am so sorry
Step-by-step explanation:
well if you take $2.88 and then divide it into 9 you will get 32 cents
Help please!
I will mark you brainlest
Which of the following is a formula that can be used to find the Circumference of a circle?
complete the equation 5/4= ×1/4
Answer:
X = 5
Step-by-step explanation:
An angle measures 12°. Find its complement. Do not include units in your answer.
Answer:
78
Step-by-step explanation:
complements = 90
x + 12 = 90
-12. -12
× = 78
If two angles are complementary,
then the sum of their measures is 90 degrees.
If two numbers add to 90, we can represent those numbers as x and 90 - x.
So we will call one of our angles x and its complement as 90 - x.
So we have 90 - 12 which is 78.
So the complement of a 12° angle is a 78° angle.
Part 1
Evaluate the expression for 6x − x2 for x = 0, 1, 2, 3, 4, 5, and 6. Then, drag and drop each number into the correct box to complete the table.
x 0 1 2 3 4 5 6
6x − x2
Part 2 out of 2
Complete the explanation for the pattern(s) you see.
The value of 6x − x2
decreases
from 0 at x = 0 to 9 at x = 3, then
increases
back to 0 at x = 6. Also, the values are
different
for x = 0 and 6, for x = 1 and 5, and for x = 2 and 4.
Answer:
no saboooo99999997
Step-by-step explanation:
becayzw kwk2kudhe
whsyhwbw
wiauy1y133
solve for x pls .............................................................................
Answer:
x=28.928571 AKA the answer is 28
Juan wants to buy some protein bars and magazines for a trip.
He has decided to buy three times as many protein bars as
magazines. Each protein bar costs $0.70 and each magazine
costs $2.50. The sales tax rate on both types of items is 734%.
How many of each item can he buy if he has $20.00 to spend?
What Is the answer I don’t know
Answer:
HI there! I am really sorry if i get this wrong, but please apperciate!
Thank you! :)
Step-by-step explanation:
So I worked this out like this:
Protein bars: 0.70 * 3 = 2.1
Magezines: 2.50
734% are the taxes as it was written. 734% decimal version is 7.34.
This is what I did next:
7.34 plus 2.1 times 2 equals 18.88. So, you can buy 2 protein bars.
7.34 plus 2.50 times 2 equals 19.68. So, you can also buy 2 magazines!
I hope this helps! Let me know if this is wrong. Thanks and have a nice day!
What is the sun of the interior angles of the polygon shown below
the sum of the interior angles of the polygon shown below is nine.
Step-by-step explanation:
you look inside the polygon and add the angles all together
Suppose Nancy has 15 sorts of colors black, red, and of wschure black and were
What is the probability
randomly selected stw be blue
Answer:
Hi there here is the answer!
Step-by-step explanation:
Out of the 3 main chioces there is a total of 15!
so, it would be a probability of 5/15. or 1/3 / 1:3
A store pays $365.84 for a fountain. The store marks up the price by 10%.
What is the amount of the mark-up?
Round your answer to the nearest cent: $
Answer:
The store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.
Step-by-step explanation:
Given that a store pays $ 365.84 for a fountain, and then the store marks up the price by 10%, to determine the amount of the mark-up the following calculation must be performed:
365.84 x 10/100 = X
3,658.4 / 100 = X
36,584 = X
36.584 + 365.84 = 402.424
Thus, the store marks up the fountain by adding $ 36.58 to its original cost, bringing its retail price to $ 402.42.
The diagram can be represented by the equation 25=2+6x. Explain where you can see the 6 in the diagram.
Answer:
Step-by-step explanation:
The answer is the 6 x's in the diagram.