Answer:
3.125%
0%
Step-by-step explanation:
A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times
0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125 or 3.125%
Now the probability of three heads appearing in a sequence is 0% because after the second head in a row the game will automatically end.
Part(a): The probability that the game ends by flipping exactly five coins is [tex]0.5[/tex]
Part(b): The probability that three heads appear in the sequence is [tex]0.5[/tex].
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. How likely they are to happen, using it.
Part(a):
The Probability of games ends by flipping exactly five coins is,
[tex]P((TTTHH),(HTTHH),(THTHH),(HHTHH))=(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4[/tex]
Where [tex]p=P(H)[/tex]
When the coin is fair so the probability is,
[tex]P(H)=\frac{1}{2}[/tex]
P(game ends by flipping exactly five coins)=[tex]\frac{2^2}{2^5} =0.125[/tex]
Part(b):
The Probability of games ends by flipping exactly three heads is,
[tex]\frac{2(1-p)^2p^3}{(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4}[/tex]
Where [tex]p=P(H)[/tex]
When [tex]p=0.5[/tex] then the above probability is [tex]0.5[/tex]
Learn more about the topic of Probability:
https://brainly.com/question/6649771
58% of a $148 selling price goes toward paying expenses. How many dollars of the selling price is profit?
Answer:
62.16
Step-by-step explanation:
Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selling regular cupcakes for $2.00 each and gluten-free cupcakes for $3.00 each. The number of regular cupcakes sold was determined to be 2 times the number of gluten-free cupcakes sold. If a total $350 was raised through cupcake sales over a three-week period, how many cupcakes were sold altogether
Answer:
50 gluten-free cupcakes and 100 regular cupcakes.
Step-by-step explanation:
Let's define the variables:
R = number of regular cupcakes sold
G = number of gluten-free cupcakes sold
The total amount of money raised then is:
M = R*$2.00 + G*$3.00
We also know that:
The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.
then:
R = 2*G
And we also know that the amount of money raised is $350
Then we have the equations:
R = 2*G
R*$2.00 + G*$3.00 = $350
We can replace the first equation into the second one, so we have only one variable:
(2*G)*$2.00 + G*$3.00 = $350
Now we can solve this for G.
G*$4.00 + G*$3.00 = $350
G*$7.00 = $350
G = $350/$7.00 = 50
G = 50
50 gluten-free cupcakes where sold.
And using the equation:
R = 2*G = 2*50 = 100
We can conclude that 100 regular cupcakes were sold.
An airliner travels 95 miles in 12 minutes. What is its speed in miles per hour?
Answer:
475 miles per hour
Step-by-step explanation:
the plane traveled 95 miles in 12 minutes. the first thing we need to do is determine how many 12 minutes go into 1 hour. 12 minutes is repeated 5 times in order to get a total of 60 minutes and 60 minutes is 1 hour. the final thing we need to do is multiply 95 by 5 to get the total number of miles per hour traveled. the total of that is 475 miles per hour which is the answer
written math;
60/12=5
95*5=475
answer= 475 miles per hour
Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree. Step 2 of 2 : Consider that 139 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4 decimal places, if necessary. Answer
Answer:
[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.
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: Has a graduate degree.
Event B: Has over 10 years of experience.
Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree.
This means that:
[tex]P(A) = \frac{159}{469}[/tex]
[tex]P(A \cap B) = \frac{116}{469}[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{116}{469}}{\frac{159}{469}} = \frac{116}{159} = 0.7296[/tex]
[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.
How much money would you have to invest at 9% compounded semiannually so that the total investment has a value of $2,090 after one year?
Answer:
Im just doing this for points .,.
Step-by-step explanation:
Use the following information. (pls hurry)
SPORTS In a football game, each team earns 6 points for each touchdown it scores.
Write an equation to find y, the total number of points for scoring x touchdowns.
Which expression is equivalent to ( + )?
Answer:
No entiendo que es lo que hay qué hacer
Carlos bikes 2 1/2 miles in 1/4 hours. At that rate, how many miles would he bike in 1 hour?
Answer:
10
Step-by-step explanation:
since it’s 1/4 1 out of the four is 2.5 so just multiply by four
1. A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
a. Find the experimental probability of landing on a 2.
b. Find the experimental probability of not landing on a 6.
c. Compare the experimental probability you found in part a to its theoretical probability.
d. Compare the experimental probability you found in part b to its theoretical probability
Step-by-step explanation:
(A) you takeway 24 by 2 and add 6=28
Need some help a little bit stuck
Answer:
SA = 240
Step-by-step explanation:
SA = (10*10) + (8*10) + (6*10)
SA = 240
pls help will give brainliest and only put 1 variable in it ty
Answer:
(2/3)r=30
r=45cm
Step-by-step explanation:
When trying to find a fraction of something, multiply to get your answer:
(2/3) of r = (2/3)r
The blue ribbon can be represented by both 30cm and (2/3)r cm:
(2/3)r=30
2r=90
r=45cm
True/False?: A best-fit line is created to model data comparing the gasoline consumed by a car (x) and the distance traveled in the car (y). The equation is y=24x−1. One possible explanation for the y-intercept being −1 is that cars that idle (sit still) also use some gas. So, while the model predicts that cars get 24 miles of travel per gallon of gas consumed, some gas is consumed just by a car running (not traveling).
Answer:
TRUE
Step-by-step explanation:
What is the area of this figure? I give brainliest and thanks :)
Answer:
591 square cm
Step-by-step explanation:
25 times 23 =575
4 times 4 =16
575 plus 16=591
Answer:
591
Step-by-step explanation:
23x25=575+(4x4)=591
solve the following equations
simultaneously;
2x-3y=0
2x-y=8
Answer:
x=6 y=4
Step-by-step explanation:
So, what I did was change positions of 2x to -2x=0-3y -2x=-8-y. Because -2x equal to two equations, I did -3y=-8-y. Once simplified, that equals to y=4. I plugged in to 2x-y(or 4)=8. Once that was simplified, 2x=12 or x=6.
Pls help ASAP In the triangle below, what is the measure of AngleZ?
Answer:
50 degrees is the answer
Evaluate. 72 - 3 + 9 × 8 ÷ 2 w =
Answer:
Step-by-step explanation:
Request of activities so increase then division, at that point deduction and expansion.
9*8 = 72
72/2 = 36
72-3 = 69
69+36 = 105
Another way of saying it is:
Utilize the request for tasks to improve on mathematical articulations. The request is brackets, types and roots, augmentation and division, expansion and deduction. Duplication and division are "something similar" so you would utilize the first that happens from left to right.
Bit by bit clarification:
7^2 - 3 + 9 x 8 ÷ 2
49 - 3 + 9 x 8 ÷ 2
49 - 3 + 72 ÷ 2
49 - 3 + 36
49 - 39
W=10
Brainliest?
SOMEBODY PLEASE GIVE AND HELP ME IN THESE. I HAVE TO SUBMIT MY TEST IN 20 MINS.
Answer:
I only have this much
The rest you have to do on your own
5) If the property tax on a $100,000 home is $1500, what is the tax on a
$ 120,000 home?
Answer:
Calculate property taxes based on assessed value and a tax rate. California property tax calculations with annual assessment increases up to 2% ... Tax Rate: The annual tax rate used to compute your property taxes.
Assume a normal distribution. From the Baltimore facility, 145 samples were obtained and compared with a sample of 128 from the Burlington facility. The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were:
Answer:
Hello your question has some missing part below is the missing part
The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were: Baltimore facility, Burlington facility Mean 52.5 Mean 39.7
Standard deviation 19.7 Standard Deviation 8.9Using this data, complete the following:
State your hypothesis and conduct a hypothesis testing using a significance of 0.10.
answer : We will reject the Null hypothesis
Step-by-step explanation:
μ1 = mean working hours for Baltimore facility
μ2 = mean working hours for Burlington facility
Hence the Hypothesis are :
H0 : μ1 = μ2
Ha : μ1 > μ2
Next: Conduct a hypothesis testing
we will apply Z - testing attached below is the hypothesis testing
n1 = 145 , X1 = 52.5 , δ1 = 19.7 ( Baltimore )
n2 = 128, X2 = 39.7 , δ2 = 8.9 ( Burlington )
what is the place value of 5 in . number 4 256
Answer:
4 2 5 6
Ones : 6
Tens : 5
Hundreds : 2
Thousands : 4
Step-by-step explanation:
hope I'm right
The height of a ball dropped from a 160 foot building after 1 seconds is represented by h(t) = 160 - 1612
How high will the ball be after 3 seconds?
A. O feet
B. 9 feet
C. 16 feet
D. 112 feet
E. 151 feet
Answer:
C. 16 feet.
Step-by-step explanation:
How to find the maximum height of a projectile
if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.
if α = 45°, then the equation may be written as:
if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion.
please help me fast! thanks
Answer:
the answer is 15
Step-by-step explanation:
Just add
Answer:
15 grams
Step-by-step explanation:
Which of the following questions are statistical questions? Explain why or why not for each one.
(a) Who is the current vice president of the USA?
(b) How many slices of pizza can sixth grade students eat at a pizza party?
(c) How many languages does Sally speak?
Answer:
b
Step-by-step explanation:
A is not a statistical question because its not asking for a number A is asking who is vice president of the USA.
B is a statistical question because its asking a math question how many students eat at the pizza party and its a math problem.
C is not statistical because its just asking how many languages sally can speak they don't add another problem.
Hope its helps :)
true or false
There are four quartiles altogether,
Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume? Use the drop-down menus to explain and show your answer. Fish Tank A shows an area of base that is 25 square feet and a height of 8 feet. Fish Tank B shows an area of base that is 40 square feet and a height of 4 feet. The volume of fish tank A is cubic feet, and the volume of fish tank B is cubic feet. So fish tank has a greater volume. Its volume is greater by cubic feet.
Answer:
The volume of fish tank A is 200 cubic feet, and the volume of fish tank B is 160 cubic feet. So fish tank A
has a greater volume. Its volume is greater by 40 cubic feet.
-
I just finished the Unit Test and got it right, so I hope this helps.
(Bold is the answer(s) for each slot)
A. Scalene
B. Isosceles
C. Right
D. Obsute
Answer:
Isosceles
Step-by-step explanation:
Because an equilateral triangle is also isosceles, all triangles are either scalene or isosceles. But when people call a triangle isosceles, they're usually referring to a triangle with only two equal sides, because if the triangle had three equal sides, they'd call it equilateral.
What is the area of this figure? I give brainliest :)
Answer:
[tex] 217 \: {mi}^{2} [/tex]
Step-by-step explanation:
Area of the figure
[tex]= 13*7 + 21 * 6 \\ = 91 +12 6 \\ = 217 \: {mi}^{2} [/tex]
Which is a greater fraction 2/5 or 1
1 is greater that 2/5
1>2/5
Answer:
1 is a whole number (an integer) and 2/5 is a proper fraction
Five hundred students were asked whether they perfer apple juice or orange juice.
Answer:
Step-by-step explanation:
240 said apple juice and 340 said orange juice.
PLS HELP THIS IS TRIGONOMETRY!!!! PLS SHOW STEPS
Answer:
third side =√{30²+16²)=34
sin theta/2=16/34
theta/2=sin-¹(16/34)
theta=28.07×2=56.14