Answer:
0.1562 = 15.62% probability that a person who tests positive actually has 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: Tests positive
Event B: Has the disease.
Probability of a positive test:
100 - 8 = 92% of 0.6%(person has the disease).
3% of 100 - 0.6% = 99.40%(person does not have the disease). So
[tex]P(A) = 0.92*0.006 + 0.03*0.994 = 0.03534[/tex]
Probability of testing positive and having the disease:
92% of 0.6%. So
[tex]P(A \cap B) = 0.92*0.006 = 0.00552[/tex]
Probability that a person who tests positive actually has the disease.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00552}{0.03534} = 0.1562[/tex]
0.1562 = 15.62% probability that a person who tests positive actually has the disease.
find the area of the triangle ! include the unit in the answer (cm) (cm2) (cm3)
Answer:476
Step-by-step explanation:
if you multiply 14 times 17 times 4 it equals 952 but if you divide it it equals 476
Answer:
the answer is 34[tex]cm^{2}[/tex]
Step-by-step explanation:
You would treat the question as 2 different problems, a small and big triangle. You use the the Pythagorean theorem to find base of the big triangle which would be 13.4(rounded) meaning that the base for the small triangle would be 3.6. From here you would use the equation to find the area of a triangle a = 1/2 bh. Find the area of each triangle separately and then add them together to get 34.
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?
A) 0.257
B) 0.351
C) 0.360
D) 0.116
Answer:
Option D
Step-by-step explanation:
Total number of employees in the organization = 250
Total person who have height greater than 180 centimeters and also have black hair = 29
Probability of choosing a person who is taller than 180 centimeters and has black hair is
[tex]\frac{29}{250} = 0.116[/tex]
Hence, option D is correct
Answer:
The correct answer is D
Step-by-step explanation:
D) 0.116
You have to find the probability of choosing a person at random taller than 180 cm and with black hair.
In the data provided 29 people meet that criteria. Out of 250 people in total you just divide.
29/250=0.116
Subtract. 82.6 - 27.9
Answer:
the answer is 54.7
Step-by-step explanation:
82.6 - 27.9 = 54 7
someone pls help with this equation (subtract the following two equations, to eliminate the x variable then solve for y) ILL MARK YOU BRAINLIEST!!!
Answer: I dunnu what ur tryna do but i think x= 27y/2 and y= 2x/27
Step-by-step explanation:
Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the
following number of cards drawn from a deck until a queen appears.
3,12,3, 11,5,5, 3, 10, 12
Answer:
3
Step-by-step explanation:
someone please help.
find the angle between the given vectors to the nearest tenth of a degree
u=<-5,-4>, v=<-4,-3>
a: -9.1
b: 1.8
c: 0.9
d: 11.8
Answer:
The answer is b: 1.8
Step-by-step explanation:
Use the arctans of (-4/-5) and subtract is from the arctan of (-3/-4)
38.65980825 - 36.86989765 = approx. 1.8 (b)
:)
find the missing side using the pythagorean theorem
Answer:
26.55
Step-by-step explanation:
[tex]a^2 + b^2 = c^2\\b^2 = c^2 - a^2[/tex]
use the b^2 equation
------------------------
b^2 = 31 squared - 16 squared.
b^2 = 705
b=[tex]\sqrt{705}[/tex]
b=26.5518361
help me please will give brainliest
Answer:
0.4
Step-by-step explanation:
Une coopérative vend un important lot d’œufs de trois tailles différentes.
20 % des œufs sont petits, 50 % sont moyens et 30 % son gros.
Les œufs sont de deux qualités : - « extrafrais » car pondus depuis moins de 9 jours ;
- « frais » car pondus entre 10 et 28 jours plus tôt.
On a remarqué que : ▪ 80 % des petits œufs sont extrafrais ;
▪ 50 % des œufs moyens sont extrafrais ;
▪ 20 % des gros œufs sont extrafrais.
Dans ce lot, on prélève un œuf au hasard et on note sa taille puis sa qualité.
On nomme respectivement P, M et G les événements « l’œuf choisi est petit », « l’œuf choisi est
moyen » ; « l’œuf choisi est gros » et on appelle E l’évènement « l’œuf choisi est extrafrais ».
1) Construire l’arbre de probabilité traduisant la situation.
2) Quelle est la probabilité d’obtenir : a. un petit œuf extrafrais ? b. un petit œuf frais ?
3) Quelle est la probabilité de choisir un œuf extrafrais ?
Aide moi svp
Answer:
546EEergh
Step-by-step explanation:
455/4355
NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.
Answer:
positive
Step-by-step explanation:
hope this helps :)
Answer:
positive
Step-by-step explanation:
because your adding +2 when ur at 0
By midweek, Wendy had spent $46.65. At the end of the week, she had spent $23.35 more. How much did Wendy spend that week?
70 dollars because addition
What is the greatest common factor of the polynomial -25y^3+15y^2-5y
Answer:
-5y
Step-by-step explanation:
Can someone please help
9514 1404 393
Answer:
C. 39°
Step-by-step explanation:
The measure of the angle where the chords cross is the average of the measures of the subtended arcs.
x = (AB +CD)/2 = (28° +50°)/2 = 78°/2
x = 39°
Can someone please help me I will mark u brilliant
Answer:
8
Step-by-step explanation:
a restaurant offers 4 pasta meals, 5 seafood meals, and 6 burgers for its main course. If a diner picks a meal at random, what is the probability that the meal selected is seafood
Answer:
5/15 or 1/3 reduced
Hope this helps!
Greg has a storage container in the shape of a
rectangular prism that has a volume of 360 cubic
feet. The container's base measures 8 feet long and
9 feet wide. What is the height of the storage
container, in feet?
Answer:
The answer is 5
Step-by-step explanation:
First you need to know the equation for volume which is: length×width×height
You have the length and the width which those are: l=8 and w=9
Multiply the length and width together: 8×9=72
Then divide 360÷72=5
Check your math: 8×9×5=360
Therefore, the correct answer is 5
I hope this helps you! ~Lex
Reem is 5 years older (bigger) than 3 times Sara's age.
If Reem is 28 years old, how old is Sara?
Answer: 7 2/3
R = 3s + 5
28 = 3s + 5
23 = 3s
s = 7 2/3
i need help! i provided the problem in the picture
Step-by-step explanation:
[tex] \frac{30}{wz} = \frac{40}{32 + 40 } \\ wz = 54[/tex]
[tex] \frac{40}{40 + 32} = \frac{28}{xz} \\ xz = 50.4[/tex]
So the Perimeter is
[tex]54 + 50.4 + (40 + 32) = 176.4[/tex]
What is the value in simplest form 8*4/9
Answer:
32/9 or 3.55555555556
hope this answer helps you!
Select the correct answer.
What is the equation of the asymptote for this function?
Ax) = In x + 5
O A.
x=0
B.
x= -5
O c.
y= 0
OD.
y=-5
Answer:
x = 0
Step-by-step explanation:
ln x + 5, similarily to ln x, has no right asymptote, because it goes to infinity (very slowly), but also any line y=ax+b raises faster than ln x for positive a.
It has a left asymptote though - ln x deacreases very fast as x approaches 0, so it has a vertical asymptote of x = 0.
Answer:
x=0
Step-by-step explanation:
i took the test
eight (8)÷ by nine (9)
Answer:
[tex]8 \div 9 \\ = 0.888....[/tex]
PLS TELL ME WHAT IT IS
Answer: J
Step-by-step explanation: Find out what 85% of 320 is.
Consider the figures shown to answer Part A and Parts B.
Which figures have a volume greater than 600 cubic inches?
Select all that apply.
A. Cylinder #1
B. Cone #1
C. Cylinder #2
D. Cone #2
E. Sphere
volume of sphere is 4.8 times the volume of cone (1).
A). Options (C) and (E) is correct.
B). 4.8 times
To choose the figure.
What is mensuration?The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.
Given that:
Part A
Volume of cylinder (1) = πr²h
= π*(6)²*(5)
= 565.5 cubic inches
Volume of cone (1)=π*r²*h/3
=π*6²*5/3
= 188.5 cubic inches
Volume of sphere =4π*r²*r/3
=4π*6²*6/3
= 904.8 cubic inches
Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.
Part (B)
Volume of sphere/Volume of cone (1)=904.8/188.5 =4.8
Therefore, volume of sphere is 4.8 times the volume of cone (1).
Learn more about mensuration here:
https://brainly.com/question/23278855
#SPJ5
The points A, B, and D are on circle C, AB=BD, and m ABD = 194°.
What is the measure of AB?
Answer:
AB = 97
Step-by-step explanation:
AB is half of mABD.
If = cos + (3 − 2
2
) − (3 + 2), find
2
Answer:
2
Step-by-step explanation:
I found it
What did you really want me to do
Answer: =−4.459698
Step-by-step explanation: Hope this is what you want & Hope this help :D
Please need help ASAP.
Answer:
Billy is wrong it's 28 cm2
Sam is wrong it's 59cm2
Pedro is wrong it's 55.3 cm2
Well this is very hard and I need help passing do anybody know the answer to this question
Answer:
-1.9
Step-by-step explanation:
A survey was run by a high school student in order to determine what proportion of mortgage-holders in his town expect to own their house within 10 years. He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51. The student decides to construct a 95% confidence interval for the population proportion. a)Calculate the margin of error that the high school student will have. Give your answer as a decimal to 2 decimal places. Margin of error
Answer:
The margin of error is of 0.17.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.
This means that [tex]n = 35, \pi = 0.51[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
a)Calculate the margin of error that the high school student will have.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]
[tex]M = 0.1656[/tex]
Rounding to 2 decimal places, the margin of error is of 0.17.
Ella ate half of her gummy bears before adding thirteen more to the bowl. If she now has 25 gummy bears, how many did she start with?
Answer:
24 gummy bears
Step-by-step explanation:
25-13= 12
12 x 2 = 24
i don’t know how to solve this and i need help
Answer:
y-intercept: (0, 0.4)
x-intercept: (0.3, 0)
Step-by-step explanation:
The x coordinate always comes before the y coordinate