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.
The boat top speed was 2 miles per hour less then 3/5 the cars top speed. The boats top speed was 73 miles per hour.what was the top speed of the car ?
Answer:
Word Problem. Hmm
The Interpretation of the first expression
Let boat top speed be x and car's top speed be y
x= 3y/5 – 2
From the question
x= 73miles per hr
73= 3y/5 - 2
3y/5 = 73+2
3y/5=75
y= 75x5/(3)
y=125miles per hr.
This is the car's top speed. Thanks
A finite sequence of numbers is called AWESOME if each subsequent member of the sequence, except the first one, is larger than the previous one and if the
product of all the members of that sequence is a perfect square. For example, sequence 2, 6, 27 is an AWESOME sequence. Determine the natural numbers x and y such that the sequence 28, x, y, 65 is an AWESOME sequence.
Answer:
The answer is "28, 35, 52, 65"
Step-by-step explanation:
Calculating the x,y:
[tex]\to x< y<65\\\\\to 65 \times 28 xy=13 \times 5xy \times 7 \times 2^2\\\\x=13 \\\\y=5 \times 7= 35\\\\[/tex]
When
or
[tex]x=35\\\\y= 13 \times 2^2=13 \times 4 =52[/tex]
So, the final answer is "28, 35, 52, 65".
II. The Añejo Rum 45 played 5 games. Find the total of poin
basketteall game and for each player,
Loyzaga J
WAME GAME 1 GAME 2
Jaworski 18
2B
12 15
Isaac 16
12
Gonzalgo 21 15
Distrito 26 24
Mamaril 19 22
GAME 3
12
16
18
24
20.
12
GAME H GAME 5
24
18
16
20
19 15
26 23
21
15 16
21
Answer:
Step-by-step explanation:
alright l like this answer too
In ΔEFG, f = 37 inches, g = 92 inches and ∠E=97°. Find the area of ΔEFG, to the nearest square inch.
Answer:1689
Step-by-step explanation:
Delta Math
Kate is 5 feet 2 inches tall.
Alice is 1.57 metres tall.
Alice says that she is taller than Kate.
Use the conversions below to decide if Alice is correct.
12 inches = 1 foot
1 inch = 2.5 centimetres
if someone could help me with this it would be really helpful
Answer:
Alice is wrong kate is taller than Alice
Step-by-step explanation:
because Alice is 5'1 and Kate is 5'2
Maria and Lamar are playing a game. Maria noticed that the digits of her
score could be reversed to form Lamar's score. Maria's score is 18 more
than Lamar's score. Maria's score is a multiple of 5. What is Maria's score?
Answer:
20
Step-by-step explanation:
because 20 reversed is 02 and plus 18 is 20 and 20 is a multiple of 5
Answer:
The answer is 20!
Step-by-step explanation:
Had to do this on a sheet of paper.
Hope I helped you even though this is really old. I just need to answer 5 questions for points
Two sixth-grade classes, A and B, voted on whether
to give the answers to their math problems in poetry.
The "yes" choice was more popular in both classes.
class A - 24 yes , 16 no
class B 18 yes , 9 no
i know the percent of class a but not b
class A - 60/100
class B - ???????
What is the answer to this problem?
Answer:
5 2/3
Step-by-step explanation:
just trust me
Answer:
option b 5.6 is the correct answer
Solve the system of equations
-2x-3y=21
-6x+2y
Part 1: Explain the steps you would take to solve the system by eliminating the x-terms.
Part 2: Explain the steps you would take to solve the system by eliminating the y-terms.
Part 3: Choose either of the methods described in parts 1 or 2 to solve the system of equations. Write you answer as an ordered pair. Show you work.
Answer:
[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]
Value of x & y when
equations are
2x-3y=-21-6x+2y= 7is
x = 1.5
y = 8
PLS HELP ME GIVING OUT BRAINLIEST ANSWER!!
Answer:
4r^2
Step-by-step explanation:
The area of a square is the square of the side length. Since a circle with radius r is inscribed inside the square, the side length of the square is 2r. Therefore, the area of the square is (2r)^2, which is 4r^2.
Note that the area of the circle is [tex]\pi r^2[/tex].
2 - (4 - 3) and (2 – 4) - 3 what property is it?
Answer:
1 and -2
Step-by-step explanation:
Answer:
Associative property
Step-by-step explanation:
When three or more numbers are multiplied, the answer is the same regardless of the way in which the numbers are grouped.
6(3b-5) b=5
is the value 60
Answer:
Yes
Step-by-step explanation:
6((3×5)-5)
6(15-5)
6(10)
60
Hope this helps!! :)
A y= 2x - 10
B y= 1/2 x + 10
C y= 1/2x -10
D y= 2x + 10
9514 1404 393
Answer:
D. y= 2x + 10
Step-by-step explanation:
Try x=3 in the equations and see which one works.
A: 2·3 -10 = -6 ≠ 16
B: 1/2(3) +10 = 11.5 ≠ 16
C: 1/2(3) -10 = -8.5 ≠ 16
D: 2(3) +10 = 16 . . . . . . this equation works
Help me please I will give brainleist
Answer:
? = 7x
Step-by-step explanation:
Lets simplify the equation first;
5x - 20 + ? = -20 + 12x
=> So now, we have to make the equation on the left equation congruent to the right equation:
It we already have -20 common on both sides, but we need to find out, what added by 5x gives us 12x,
=> So we can let the number we have to find out be y, and say:
5x + y = 12x
=> y = 12x - 5x
=> y = 7x
Therefore, ? = 7x
Hope this helps!
Rationalize the denominator and simplify
Valerie and Bret have a total of 21 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have? Plz help
Answer11
Step-by-step explanation:
2m^2 - 4m/ 2(m - 2) simplified
Answer:
=2m²-4m/2(m-2)
=2m(m-2)/2(m-2)
=m is the correct answer
The class president won the election by a vote of 3 to 2 her opponent received 356 votes. How many votes did the winner receive?
Answer:
534
Step-by-step explanation:
What is the difference
Answer:
4
Step-by-step explanation:
Ben has 21 votes and Scott has 17
21 - 17 = 4
Write a thesis statement for your argument aginst online learning
Answer:
Step-by-step explanation:
Online Learning is bad because it can cause social Isolation, it requires strong self-motivation and time management skills , Lack of communication skill development in online students and cheating prevention during online assessments is very complicated.
Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750
Answer:
the expression b/c=b/c is an example of a/an
please help me with this question:(
A box holds 30 tins How many boxes can be filled
with 810 tins
Which angle is vertical to AFC?
Pretty sure the answer is DFE
HELP NEEDED PLEASE!! WILL GIVE BRAINIEST
Find the mean absolute deviation of the following numbers:
12, 15, 17, 18, 15, 20, 22
Answer:
12 20 22
Step-by-step explanation:
Please help me this is for a test. Thank you so much whoever answers this.
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
Next Activity
Desiree M&Clay
Consumer Mathematics A: Calorie Proportions - Assess It
Contents
1 Course Ove
> Course Res
> Shopping
Nutrition
All changes saved
3. If 10 hot wings have 700 calories and Ben ate 25 hot wings at dinner, how many
calories did he eat?
> Lesso
please help due in an hour
Answer:
x=30°
Step-by-step explanation:
3x-10=2x+20
3x-2x=20+10
x = 30°
just x, no y in the photo
Find the radius of the curcle
Answer:
radius=diameter/2
=9/2
=4.5 in.
diameter=radius*2
=3m*2
=6m
Step-by-step explanation:
Step-by-step explanation:
1) r=d/2
r=9in/2
r=4.5in
2) d= r×2
d=3m×2
d=6m
7) WILL MAKE BRAINLIEST
write the slope-interception form of the equation of each line.