Answer:
you would take 14 secs lol hahaha
Step-by-step explanation:
The probability that the patient recovers from a rare deadly disease is 40% and failure to recover is 60%.If 15 people contracted this disease what is the probability that a. 5 will survive? b. 8 will survive? c.12 will survive?(complete solution)
Answer:
a) 0.1859 = 18.59% probability that 5 will survive.
b) 0.1181 = 11.81% probability that 8 will survive.
c) 0.0016 = 0.16% probability that 12 will survive.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that the patient recovers from a rare deadly disease is 40%
This means that [tex]p = 0.4[/tex]
15 individuals
This means that [tex]n = 15[/tex]
a. 5 will survive
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]
0.1859 = 18.59% probability that 5 will survive.
b. 8 will survive
This is P(X = 8). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]
0.1181 = 11.81% probability that 8 will survive.
c.12 will survive
This is P(X = 12). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]
0.0016 = 0.16% probability that 12 will survive.
Home pregnancy tests, like all medical tests, are not perfectly accurate. Suppose one such test has an accuracy level such that if a woman is pregnant there is a 12% chance that the test will fail to show it. On the other hand, if the woman is not pregnant there is still a 3% chance that the test will incorrectly say that she is. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
a) If Joan is pregnant what is the chance that the test will detect it?
b) Based on other factors, Joan estimates there is an 80% chance that she is pregnant.
Therefore, Joan takes a pregnancy test. What is the probability that the test will indicate that she is pregnant?
c) Joan looks at the test result and it does indicate that she is pregnant. Given this test result, what is the probability that she is pregnant?
d) Pamela has also taken this particular home pregnancy test. Before taking the test, she estimated there was a 75% chance that she
Answer:just go to the doctor
Step-by-step explanation:
What is the midpoint of a line segment with endpoints at (2, 3) and (4,5)
Answer:
(3, 4)
Step-by-step explanation:
First, find the x coordinate of the midpoint by finding the average of the two x values:
(2 + 4) / 2
6 / 2
= 3
Find the y coordinate of the midpoint by finding the average of the two y values:
(3 + 5) / 2
8 / 2
= 4
So, the x coordinate of the midpoint is 3 and the y coordinate is 4.
The midpoint is (3, 4)
Marta walked at 4.7 miles per hour for 0.83 hours. How far did she walk?
Helpppp please prettty pleaseee THIS IS TIMED. I WILL MARK Brainliest. NO LINKS Please Or I WILL REPORT YOU. PLEASE GIVE EXPLANATION
Answer:
Please show the picture or question.
Harry received a package for his birthday. The package weighed 350,000 centigrams. Select the conversions that are equivalent to 350,000 centigrams. Select all that apply.
35 kilograms
3,500 decigrams
350 dekagrams
3,500 grams
PLEASE ANSWER PLEASE
Given:
The package weighed 350,000 centigrams.
To find:
The conversions that are equivalent to 350,000 centigrams
Solution:
We know that,
1 centigrams (cg) = 0.000001 kilograms (kg)
1 cg = 0.1 decigrams (dg)
1 cg = 0.001 dekagrams (dag)
1 cg = 0.01 grams (g)
Using these conversions, we get
350,000 centigrams = 3.5 kilograms
350,000 centigrams = 35,000 decigrams
350,000 centigrams = 350 dekagrams
350,000 centigrams = 3,500 grams
Therefore the correct options are C and D.
Which expression is equivalent to (see the picture)
A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6
Consider this data set.
13, 17, 21, 3, 14, 34, 22, 20, 16, 19, 15
Which data values are outliers?
Select each correct answer
3
13
15
34
Answer:
3 and 34
Step-by-step explanation:
they are the extremes in this, you want to look for out of place numbers when dealing with outliers
A spinner with 6 equally sized slices has 2 red slices, 1 blue slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?
Answer:
The probability is 2/6, or 1/3 (about 33%)
Step-by-step explanation:
A box contains 3 defective batteries and 7 good ones. You reach in and pull out three
batteries. What is the expected number of defective batteries?
Answer:
The expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
Step-by-step explanation:
Given that a box contains 3 defective batteries and 7 good ones, and I reach in and pull out three batteries, to determine what is the expected number of defective batteries, the following calculation must be performed:
3 + 7 = 100
3 = X
10 = 100
3 = X
3 x 100/10 = X
300/10 = X
30 = X
3 x 3/10 = X
0.9 = X
Therefore, the expected number of defective batteries to be pulled out is 0.9, which rounded to the nearest integer gives a total of 1, that is, 1 of the 3 batteries is expected to be defective.
Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
Grace
800, 400, 200, 100, 0, 0
Every number in the pattern will have a 0 or a 5 in its ones place.
Every number in the pattern will have a 0 or a 5 in its tens place.
Every number in the pattern will have a 0 in its ones place.
Every number in the pattern will have a 0 in its tens place.
Done -
Answer:tbh
Step-by-step explanation:
and\
If OB = 6 and AB = 8, then EA
Answer:
what is that means i think it's better to ask by take a picture
1 1/4 X 5 3/4 = _________________
Answer:
7 1/8
Step-by-step explanation:
Hope this helps
Answer: 7.1875
Step-by-step explanation:
First you would multiply the two numbers which are 1 1/4 and 5 3/4 then you would simplify that because you would get 115/16 then when you simplify you get 7.1875
Which expression is equivalent to
Answer:
x^6
Step-by-step explanation:
In 2002, the manufacturers of M&M's surveyed people from around the world and asked them to vote for a new color: purple, aqua, or pink. In the United States, 42% of those who voted said purple, 37% said aqua, and 19% said pink. What's the probability that a randomly picked survey respondent from the United States preferred purple or pink?
Answer:
don't know
Step-by-step explanation:
dont know...........
Which equation of a line is parallel to the graph of y = 3x -5 and passes through the point
(1,5)?
Please help me with this answer
9514 1404 393
Answer:
x = 12∠H = 94°Step-by-step explanation:
The marked angles are supplementary, so ...
(5x +26)° +(8x -2)° = 180°
13x = 156 . . . . . . . . . . . . . . divide by °, subtract 24
x = 12 . . . . . . . . . . . divide by 13
∠H = (8x -2)° = (8·12 -2)°
∠H = 94°
Please help and explain ( Brainliest for answer!)
Answer:
AD = 3
Step-by-step explanation:
Pythagoras theorem formula: a² + b² = c² (c being the hypotenuse, the longest side of the triangle).
Using this formula, you can easily say that c²-b²=a². c=5, b=4, making the equation 5² - 4² = a ².
Expanding the formula, you'll get 25 - 16 = a².
25 - 16 = 9.
This means that 9 = a².
To find a, you need to root 9. Using a calculator, you'll know that this number is 3, meaning that AD = 3.
there are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest inch, how many inches are in 14 meters?
Answer:
551
Step-by-step explanation:
Answer:
551.18 inches
Step-by-step explanation:
convert 14 m to cm, so multiply 14 by 100, to get 1400, then convert to inches, so divide by 2.54, which gives you 551.18 inches
Can someone please tell me what 597 ➗ 5 is
Answer:
119.4
Step-by-step explanation:
Big Brain Dude <:
find height of the density curve
Answer:
0.2 on khan academy
Step-by-step explanation:
please help, the answer below is a option but i need a answer for the question
Answer:
12 units^2
Step-by-step explanation:
select all the expressions that have a value greater than 19 X 12
Answer:
123
Step-by-step explanation:
Enter the value of p so that the expression 4 (n+8) is equivalent to (n+p)4
A box holds 12 markers. Nan takes out 6. Then she puts 2 back. Are there enough markers in the box for Fen to take out 10?
Answer:
Nope
Step-by-step explanation:
No because you can (12 + 6) +2 and get 8. so yea
When Nathaniel left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Nathaniel's battery, as a percentage, can be
modeled by the equation B = 52 - 6.5t, where t is the number of hours since
Nathaniel left his house. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
Slope -6,5
Step-by-step explanation:
Slope of the equation is -6.5 which is mean that every our his battery lose 6.5 percent of charge. 52 represent here the percentage of battery at the time he left the house.
500 meters to kilometers
If f(x) = x and g(x) = vx, what is f(g(x) when x = -3?
Answer:
f(g(x) = -3v
Step-by-step explanation:
Find f(5) for f(x)=1/4(2)^x
O A. 4
O B. 32
C. 2
O D. 8
Answer:
D. 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 1/4(2)ˣ
f(5) is x = 5 for function f(x)
Step 2: Evaluate
Substitute in x [Function]: f(5) = 1/4(2)⁵Exponents: f(5) = 1/4(32)Multiply: f(5) = 8Consider the points plotted on the number line shown below