Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.
Explain the primary functions of descriptive and inferential statistics.
Answer:
Descriptive statistics uses the data to provide descriptions of the population, either through numerical calculations or graphs or tables. Inferential statistics makes inferences and predictions about a population based on a sample of data taken from the population in question.
In a casino in Blackpool there are two slot machines (machine 1 and machine 2): one that pays out 10 % of the time, and one that pays out 20 % of the time. Obviously, you would like to play on the machine that pays out 20% of the time but you do not know which of the two machines is the more generous. You thus adopt the following strategy: you assume initially that the two machines are equally likely to be the generous machine. You then select one of the two machines at random (this turns out to be machine 1) and put a coin into it. Given that you loose that first bet estimate the probability that machine 1 is the more generous of the two machines
What do I know?
What do I want to find out?
What do I expect the answer to be?
How do I go from what I know to what I want to find?
Is the answer consistent with what I expected?
Answer:
Step-by-step explanation:
From the given information:
We are told that there exist two machines
Machine 1 and Machine 2
Given that machine 1 pays 10% when it is generous, then the probability can be computed as:
P(pays | machine 1 is generous) = 0.10
Also, machine 2 pays 20% when it is generous, then the probability that the machine pays 20% when it is generous is :
P(pays | machine 2 is generous) = 0.20
However, the two machines have an equal chance of being generous.
Therefore, the probability that machine 1 is generous is equal to the probability that machine 2 is also generous.
i.e.
P( machine 1 is generous) = P( machine 2 is generous) = 0.50
The first objective is to find the probability that the machine 1 is generous, given that the player loses the first bet.
i.e. P (machine 1 is generous | but lost)
Thus, we know that the probability that the machine is generous is = 0.5, therefore, the probability that the machine is generous is 50% when he loses the first bet.
Therefore, to find the probability that the machine 1 is generous | but lost, we have:
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{P(machine \ 1 \ is \ generous \ \cap lost )}{P(lost)} }[/tex]
Let:
P(lost | machine 1 is generous) = A
P(machine 1 is generous) = B
P (Pays | machine 1 is generous ) = C
P(Pays | machine 2 is generous ) = D
P(machine 2 is generous) = E
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - C) \times B}{ (1 - C) \times B + (1 - D) \times E} }[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{(1 - 0.10) \times 0.50}{ (1 - 0.10) \times 0.50 + (1 - 0.20) \times 0.50} }[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) = \dfrac{0.45}{0.85}}[/tex]
[tex]\mathbf{P(machine \ 1 \ is \ generous | lost) =0.5294}[/tex]
Thus, the probability that machine 1 loses the first bet but it is generous = 0.5294
Thus, since the answer is close to 0.50, we say that the answer is consistent with what is expected.
Three partners started a business with a joint capital of rs 1200000 if they invested in the ratio of 2:5:3 , how much did each invest
Number of business partners who started a business = 3
The total money they invested = 1200000
The ratio in which they invested = 2 : 5 : 3
Total number of parts = 2 + 5 + 3 = 10
Each part = 1200000 ÷ 10
Each part = 120000
Number of parts invested by one of the partners = 2
Money they invested = 120000 × 2
Money they invested = 240000
Number of parts invested by another partner = 5
Money another partner invested = 120000 × 5
Money they invested = 600000
Number of parts invested by the third partner = 3
Money invested by the last partner = 120000 × 3
Money they invested = 360000
Therefore , each of the partners invested 240000 , 600000 and 360000 rupees respectively .
montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8
Answer:
Step-by-step explanation:
Homework Weekend Create a short story.
please help! :( i dont understand
Please i need help
50 points
Answer:
What did you need halp with
Step-by-step explanation:
Answer:
x=65
I put a pdf with the work below. hope it helps!
Step-by-step explanation:
Three times two less than a number is greater than or equal to five times the number. Find all of the numbers that satisfy the given conditions.
Let n = a number. Choose the inequality that represents the given relationship.
Answer:
D on edge
3(n – 2) ≥ 5n
Step-by-step explanation:
the next question's answer is B
Good Morning
Here is a Maths Question for you - I will give Brainliest. Worth 10 points. Also please answer ASAP.
Please show workings as well.
Thanks
Jake
Answer:
13-(5*4)=?
13-20=-7
Step-by-step explanation:
the orginal number is 13 and accordin to the question it has stated that everysteps we have to take out 5 so what i did is that i multiplied 4 by 5 and i a going to subtract it from 13 which i have the result of -7.
Answer:
28
Step-by-step explanation:
first term(a)=13
difference(d)=5
t(4)=?
now,
t(4)=a+(n-1)d
=13+(4-1)5
=13+3×5
=28
4. What is the equation of the line?
Answer: y= -1/2x + 1
Step-by-step explanation:
The equation will be represented in slope intercept form because the line is not going through the origin.
Find two points on the line and use them to find the slope since we already know that the y-intercept is 1 because that is where the line intersects the y-axis.
The points (0,1) and (2,0) will be used to find the slope because it is on the line.
The slope will be the difference between the y coordinates divided by the difference of the x coordinates.
1- 0 = 1
0 - 3 = -2
Slope: -1/2
The equation will be y= -1/2x + 1
this table displays the amount of water in the bathtub as it is being drained a two-column table with four rows column one is labeled time minutes with entry 7 8 9 10 CO2 is labeled water gallons with entries 38.5 36.2 534-3175 use the table to interpret the rate of change what is the rate of change for the relationship
The rate of change for the relationship, given the data is -2.25 gallon/min
What is velocity?Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:
Velocity = displacement / time
With the above idea in mind, we can obtain the rate of change for the given relationship. This is illustrated below:
How to determine the rate of change Column 1 i.e time (min) = 7, 8, 9, 10.Column 2 i.e Water (gallons) = 38.5, 36.25, 34, 31.75.Rate of change =?Rate = Change in gallon / change in time
Rate = (36.25 - 38.5) / (8 -7)
Rate = -2.25 / 1
Rate of change = -2.25 gallon/min
Learn more about velocity:
https://brainly.com/question/3411682
#SPJ1
PLEASE HURRY AND HELP ME!!!!
The number, u, of tickets sold for an upcoming concert is four times the number, w, of tickets sold for the last concert.
Which equation best represents this situation
A U= w + 4
B U=W + 4
C U= 4W
D U= 4U
Answer:
C
Step-by-step explanation:
just cuz I said buster
6 1/2 divided 3/8 of goldfish crackers
Answer:
I think it is 8
Step-by-step explanation:
6 1/2 divided by 3/8 = 8
hope this helped
2
[tex] 2 \times 2[/tex]
Answer:
4
Step-by-step explanation:
2 × 2 = 4
What is the solution set of the quadratic inequality x^2-5<0
Answer:
-√5 < x < √5 .
Step-by-step explanation:
x^2 - 5 < 0
Solving x^2 - 5 = 0
x = √5 and -√5
These are the critical points
The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.
so the region when x^2 - 5 is < 0 is when x > -√5 and < √5
Answer:
D
Step-by-step explanation:
find three solutions for the linear equation 4x-3y=1
Answer:
one solution for that is 1
Step-by-step explanation:
subtract 4 from both sides, then your left with -3y and -3, then you divide -3 by -3 and you get 1.
I hope that made sense:)
Convierte a fracción: -7/8 porfavor ayudenmeeeeeee
it's already a fraction tho.
what kind of line is this? 2y=19
PLEASE HELP PLEASE!!
Complete the following statement to estimate the root of 75 to the nearest tenth. Use numbers that are closest to the root of 75
Help me out please I need it
Answer:
what do you need help with you did not provide a picture or any evidence
Step-by-step explanation:
step-by-step explanation
Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 16.
Answer:
The answer is "[tex]\bold{\frac{1024}{3}}[/tex]".
Step-by-step explanation:
[tex]= \int\limits^{4}_{-4} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} \int\limits^{16}_{x^2} dy\ dx \ dz \\\\ = 2 \int\limits^{4}_{0} \int\limits^{4}_{0} (16-x^2) dx \ dz \\\\= 2 \int\limits^{4}_{0} \int\limits^{4}_{0} 16x -\frac{x^3}{3} dx \ dz \\\\= 2 (16x -\frac{x^3}{3})^4_{0} \ dz \\\\= 2 (4) (16x -\frac{64}{3}) \\\\=8(\frac{2}{3} \times 64) \\\\=(\frac{16\times 64}{3} ) \\\\= \frac{1024}{3}[/tex]
The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.
In this question we must use the triple integral formula in rectangular coordinates to determine the volume of the solid ([tex]V[/tex]):
[tex]V = \iiint dy\,dx\,dz[/tex] (1)
The solid is constrained by the following intervals:
[tex]y \in [x^{2}, 16][/tex], [tex]x \in [-4, 4][/tex], [tex]z\in [0, 4][/tex]
Then, the triple integral is now described:
[tex]V = \int\limits_{0}^{4}\int\limits_{-4}^{4}\int\limits_{x^{2}}^{16} dy\,dx\,dz[/tex]
Now we proceed to integrate thrice to obtain the volume:
[tex]V = \int \limits_{0}^{4}\int \limits_{-4}^{4} (16-x^{2})\,dx\,dz[/tex]
[tex]V = \int\limits_{0}^{4} \left(16\cdot x - \frac{x^{3}}{3}\right)\left|\limits_{-4}^{4} dz[/tex]
[tex]V = \frac{256}{3} \int\limits_{0}^{4} dz = \frac{1024}{3}[/tex]
The volume of the given solid is [tex]\frac{1024}{3}[/tex] cubic units.
We kindly invite to check this question on triple integrals: https://brainly.com/question/19484372
123.456 RONDED TO THE NEAREST HUNDREDTH.
123.456 RONDED TO THE NEAREST HUNDREDTH.
Answer:
123.46
Answer:
123.46 is probably the answer
Which angle are vertical to each other
Question 3
1 pts
Subjectively estimate the probability that you will get a GPA of 3.5 or higher in this
class.
Explain your answer (give some justification for the probability that you estimate).
Your answer must include two parts: (1) a numerical probability, and (2) your
explanation/justification.
Answer:
75
Step-by-step explanation:
Find the values of x and y.
x=
a b c d or d helpp pleas!
Answer:
The answer is B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The rates of b, c, d make sense in relation to each other. A is the only one dealing with decimal points; whilst the other numbers are dealing with the same x and y values just different sized graphs.
How many liters are in 120 quarts?
1 qt ≈ 0.95 L
Answer:
114 liters
Step-by-step explanation:
120 x 0.95 = 114
Please Help!!!! Please please help me it’s not hard but I don’t know how!!
Answer:
Step-by-step explanation:
1
180-72=108
108-82=26
x=26
2
1580-30=150
150-82=68
x=68
For his long distance phone service, Aldo pays a $7 monthly fee plus 7 cents per minute. Last month, aldo's long distance bill was 20.86. For how many minutes was aldo billed
Answer:
198
Step-by-step explanation:
Bill costs 20.86
monthly fee plus cost per minute = 20.86
7 + (20.86-7) = 20.86
7+13.86=20.86
7+1386cents = 20.86
Minutes Aldo was billed = 1386÷7=198
Luca had a large container of yogurt with 1 and StartFraction 5 Over 8 EndFraction pounds of yogurt left in it. If a serving of yogurt is StartFraction 3 Over 8 EndFraction of a pound, to the nearest whole serving, how many servings of yogurt are in the container?
Answer:There are 4 serving in the container.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Took Edge 2020 Fraction Multiplication and Division Test
you have been planning to buy a new swimsuit this year. you just found one that you really like that is 50% off. if the original cost of the swimsuit is $24 how much is it now?
Answer:
$12
Step-by-step explanation:
50% is half off of something, which in this case would be the $24, so you would just take half off the 24. So you could divide it by 2 which would be 12.