Coin can be tossed until a tail appears or until it has been tossed 3 times. Given that tail does not occur on the first toss, whats probability that the coin is tossed 3 times?

Answers

Answer 1

For the coin to be tossed three times given the first toss is not a tail, the second toss must not be a tail. Since the probability of not getting a tail is 1/2. Therefore, the probability that the coin is tossed three times is 1/2.

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Related Questions

Identify the maximum and minimum values of the function y = 10 cos x in the interval [-2π, 2π].

Answers

We know that the maximum and minimum values of the function y = cos x in the interval [-2π, 2π] are 1 and -1 respectively.

The graph of y = 8 cos x is vertical stretch by a factor of 8 units. Therefore the graph y=cos x, = the maximum and minimum values of the function y = cos x in the interval [-2π, 2π]. So they are 8 and -8 respectively.

max = 8, ∈[−2π,2π]
= Solution
min = −8. ∈[−2π,2π]

one pipe fills a storage pool in 8 hours. A second pipe fills the same pool in 4 hours when a third pipe is added and all three are used to fill the pool,it takes only 2 hours. find how long it takes the third pipe to do the alone.

Answers

The answer is 8 hours.

Solve logarithm Equation: 3 log5 x-log5 4= log5 16

Answers

Final answer:

To solve the logarithmic equation 3 log5 x - log5 4 = log5 16, we use logarithmic properties to combine terms and then solve for x, finding that x = 4.

Explanation:

To solve the logarithmic equation 3 log5 x - log5 4 = log5 16, we can use the properties of logarithms.

First, we rewrite the equation using the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. This gives us:

log5 x^3 - log5 4 = log5 16.

Next, we utilize the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers. So we can combine the left side of the equation into a single logarithm:

log5 (x^3 / 4) = log5 16.

Now, since the bases of the logarithms are the same, we can equate the arguments of the logarithms:

x^3 / 4 = 16

Solving for x, we multiply both sides by 4 and then take the cube root:

x^3 = 64

Therefore, x = 4, since 4 cubed equals 64.

The complete question is: Solve logarithm Equation: 3 log5 x-log5 4= log5 16 is:

Final answer:

To solve the logarithmic equation, apply the properties of logarithms to simplify and solve for x.

Explanation:

To solve the logarithmic equation, we can use the properties of logarithms. First, let's apply the property that states the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers. This gives us: 3 log5 x - log5 4 = log5 16. Next, we can apply the property that states the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. This gives us: log5 x3 - log5 4 = log5 16. We can simplify the equation by combining the logarithms and solving for x.

x3 / 4 = 16

x3 = 64

x = 4

Jason bought 8 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did jason start with

Answers

This is pretty simple actually.

If they want how many cards before he added those 8 new ones then most likely 72 but seeming he ate half of his card and 40 isnt half of 72 we take 8+72 which equals 80. Add 40+40 or do 80/2 it comes out to be 40. So 80 cards to begin with.

Jason started with 72 baseball trading cards. To find out how many baseball trading cards Jason started with, let's break down the information given step by step.

1. Jason bought 8 new baseball trading cards: This implies that Jason's collection increased by 8 cards.

Let's denote the number of cards Jason had before buying the new ones as X . After buying the new cards, Jason would have X + 8 cards.

2. The next day his dog ate half of his collection: If his dog ate half of his collection, this means that the number of cards left after the incident is half of what Jason had before. So, after the dog ate half of the collection, Jason would have [tex]$ \frac{1}{2} \times (X + 8) $[/tex] cards remaining.

3. There are now only 40 cards left: This information tells us that the number of cards left after the incident is 40. So, we have the equation:

[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]

Now, let's solve for X:

[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]

[tex]\[ X + 8 = 40 \times 2 \][/tex]

X + 8 = 80

X = 80 - 8

X = 72

So, Jason started with 72 baseball trading cards.

To verify, let's check the steps:

1. Jason initially had 72 cards.

2. He bought 8 new cards, totaling 72 + 8 = 80 cards.

3. After his dog ate half of his collection, he was left with [tex]$ \frac{1}{2} \times 80 = 40 $[/tex] cards, which matches the given information.

Therefore, Jason started with 72 baseball trading cards.

The complete question is:

Jason bought 8 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did jason start with?

15 points to help answer these two questions?

1) How can graphing methods be used to solge a system of linear equations and how can you determine the equations of the two lines by analyzing the graph?

2) Solve this system of equations and explain what method you used to find your solution.
8x-y=-9
4x-3y=-22

Answers

1. Graphing can be used to solve a system of equations because the solution to a system of equations is the point of intersection of the two lines.
If you have a graph with two lines and they intersect at one point, that one point is the solution. If you have a graph with two lines and the lines do not touch(parallel lines) there will be no point of intersection and therefore no solution. If you have a graph of two lines and the lines graph on top of each other this means that they have every single point in common and therefore infinitely many solutions.
2. The solution to the system is (-.25, 7)
I solved using elimination method.
8x - y = -9
4x - 3y = -22
Multipliy the second equation by -2 to clear the x's.

8x - y = -9
-8x + 6y = 44
5y = 35
y = 7
Now plug y back into either of the original equations and solve for x.
8x - 7 = -9
8x = -2
x = - 1/4 or -.25
(-.25,7)

Gabriela works at a nearby electronics store. she makes a commission of 14% on everything she sells. if she sells a camera for $589 how much money does gabriel make in commission?

Answers

.14(589)=$82.46 Change 14% to a decimal then multiply by 589.

Convert 41,650,000 to scientific notation.

Answers

Hi , the answer is 4.165x10*7.

In scientific notation, the whole number is between 1 to 10. So the number will be 4.165 and then we multiply by the appropriate power of 10.
4.165 x 10⁷

A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter is 19 inches.

What is the measure of x?
(A) 2
(B) 3
(C) 5
(D) 9 ...?

Answers

Answer:

Step-by-step explanation:

Final answer:

To find the value of x in a triangle where one side is x and the other two are each 4 inches less than x with a perimeter of 19 inches, set up an equation and solve it to find that x = 9 inches. The correct option is D.

Explanation:

The question involves finding the value of x when a triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter of the triangle is given as 19 inches.

To solve this, we use the formula for the perimeter of a triangle, which is the sum of the lengths of its sides. Therefore, the equation can be set up as:

x + (x - 4) + (x - 4) = 19

Simplifying this equation:

Combine like terms: 3x - 8 = 19Add 8 to both sides: 3x = 27Divide both sides by 3: x = 9

Therefore, the measure of x is 9 inches which corresponds to option D.

This problem is a basic algebra problem that requires understanding of how to set up equations based on given conditions and solving them to find unknown variables.

7x-5y=20 in slope intercept form

Answers

slope inercept
solve for y

mnus 7x both sides

-5y=-7x+20
divide both sides by -5
y=7/5x-4

Mrs. Donley's math class has a total of 25 students. On Friday, the class was given an eight question quiz on fractions. The number of incorrect answers given by the students is shown below.

Incorrect Answers Number of Students
0 5
1 7
2 4
3 6
4 2
5 1

What is the relative frequency of students that missed 1 question on the quiz?

A. 0.28
B. 0.48
C. 0.35

Answers

You need to find the amount of students who missed one question, and divide that by the total number. If you sum all the students, you find that there are 25 students. From the chart, 7 missed 1 question, therefore the solution would be 7/25, which is 0.28, or A.

A. 0.28

Write a quadritic equation in standard form that has the roots of 5 and -2

Answers

We'll generalize the situation. Imagine that you want a quadratic equation that has the roots a and b. Then, your equation will be in the form: [tex]A(x-a)(x-b)=0[/tex], where [tex]A\neq0[/tex] is a constant.
Notice that if x=a or x=b the equation is true. To simplify, we'll choose A=1. In that problem, a=5 and b=-2. Hence:

[tex]1(x-5)(x-(-2))=0\iff (x-5)(x+2)=0\iff\\\\x^2-3x-10=0[/tex]

Final answer:

To find the quadratic equation with roots 5 and -2, we can use the quadratic formula. Substituting the values of the roots into the formula, we get the equation (x - 5)(x + 2) = 0.

Explanation:

A quadratic equation in standard form is written as ax² + bx + c = 0, where a, b, and c are constants. To find the equation with roots 5 and -2, we can use the fact that the solutions of a quadratic equation are given by the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Substituting the values of the roots into the quadratic formula, we have:

x = (-b ± √(b² - 4ac)) / (2a)

For the first root, x = 5:

5 = (-b ± √(b² - 4ac)) / (2a)

Substituting a = 1, b = -7, and c = 10, we get:

5 = (-(-7) ± √((-7)² - 4(1)(10))) / (2(1))

Simplifying further:

5 = (7 ± √(49 - 40)) / 2

5 = (7 ± √9) / 2

5 = (7 ± 3) / 2

So, the first root gives us the equation:

x = 5, which translates to x - 5 = 0.

For the second root, x = -2:

-2 = (-b ± √(b² - 4ac)) / (2a)

Substituting a = 1, b = -7, and c = 10, we get:

-2 = (-(-7) ± √((-7)² - 4(1)(10))) / (2(1))

Simplifying further:

-2 = (7 ± √(49 - 40)) / 2

-2 = (7 ± √9) / 2

-2 = (7 ± 3) / 2

So, the second root gives us the equation:

x = -2, which translates to x + 2 = 0.

Therefore, the quadratic equation in standard form with roots 5 and -2 is:

(x - 5)(x + 2) = 0

A card is drawn from a deck of 52. Find the probability of drawing a king or a heart. Enter your answer in simplified fraction form; example: 3/20. ...?

Answers

The solution to the problem is as follows:

A heart or a king: P(H or K) = P(H)+P(K)-P(H and K)
There are 13 hearts out of 52 cards, so P(H) = 13/52 = 1/4
There are 4 kings out of 52 cards, so P(K) = 4/52 = 1/13

There is 1 card which is a heart and a king (the king of hearts), so P(H and K) = 1/52, so P(H or K) = P(H)+P(K)-P(H and K) = 1/4+1/13-1/52 = 13/52+4/52-1/52 = 16/52 = 4/13

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An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot shadow. What is the approximate height of the building to the nearest foot?

Answers

the building is about 56 feet tall

For this problem, you could use the Scale Factor.
I will use x for the height of the building.

So 8 is to 90 as 5 is to x.

Our equation is:

8(SF) = 90

Divide both side by 8:

SF = 45/4

Then, we plug SF into the next equation:

5(SF) = x
5(45/4) = x
56.25 = x

Round to the nearest foot, and the height of the building is 56 feet.

Select all ratios equivalent to 21:14.
14:10, 8:4, 9:6, 12:21

Answers

the ratio 21:14 when divided by 7 on each side, is the smallest ratio that has the same value as 21:14. this becomes 3:2

then multiply both sides by a few different numbers on both sides each ,

for example, 3:2 is the same as
6:4 (3:2 times 2)
9:6 (3:2 times 3)
12:8 (3:2 times 4)
15:10 (3:2 times 5) and so on
the ratio of the right number I
divided by the left on all of them is 1.5

so,
14/10 equals 1.4 (nope)
8/4 equals 2 (nope)
9/6 equals 1.5 (yay)
12/21 equals 0.57 (Lol)

So your answer is 9:6

A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book. Write a system representing the situation. Use the graph test made the solution of the system. What does the solution mean to the situation? How much does each type of book cost? You substitution to verify your solution.

Answers

p = h - 11
53p + 45h = 784.10

just a matter of subbing and solving...
53(h - 11) + 45h = 784.10
53h - 583 + 45h = 784.10
98h = 784.10 + 583
98h = 1367.10
h = 1367.10/98
h = 13.95

p = h - 11
p = 13.95 - 11
p = 2.95

so paperbacks (p) are 2.95 a piece and hardbacks (h) are 13.95 a piece

The required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

Given that,
The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the price of paperback be x and price of hardback books be y,
According to the question,
x = y - 11 - - - (1)
53x + 45y = 784.10 - - - (2)
From equation 1
53 [y - 11] + 45y = 784.10
y = $13.95

Now,
y = 13.95 - 11
y = $2.95

Thus, the required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

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The box plots show student grades on the most recent exam compared to overall grades in the class.

Which of the following best describes the information about the medians?

A. The class and exam medians are almost the same.

B. The exam median is much higher than the class median.

C. The class and exam Qv3 are the same, but the exam has the lowest median.

D. The low outlier on exams pulls the median lower.

Answers

A median is a line that separates 2 halfs of data. Higher and lower. In this case median is represented by a line inside the box. Median doesnt have to be in exactly the midle of the box. That is very important to know.

We can see that in both boxes medians are practicaly the same. Which means that the correct answer is A

Answer:

A. The class and exam medians are almost the same.

Find the percent of tip:
Cost of meal $18.50, Tip $2.59

13%

14%

15%

16%

Answers

The answer is 14%

Cost of meal is 100%: $18.50 is 100%
Tip is x%: $2.59 is x

Make a proportion:
$18.50 : 100% = $2.59 : x
x = 100% * $2.59 : $18.50
x = 14%

over the course of a lifetime about how much more does a college graduate earn than someone who does not have a college degree

a. $450,000
b. $600,000
c. $750,000
d. $900,000

Answers

C or 750,000 because lol thats just what it is, you can look it up

The manufacturing cost of an air-condioning unit is $544, and the full-replacement extended warranty costs $113. If the manufacturer sells 506,970 units with extended warranties and must replace 20% of them as a result, how much will the replacement costs be? (Note: Assume manufacturing costs and replacement costs are the same.) a. $55,158,336 b. $11,457,522 c. $2,129,274 d. $66,717,252

Answers

Answer:

It's A

Step-by-step explanation:

This is what i got on edge 2020, hope this helps <3

Answer: A) $55,158,336

hope this helps <3

A scale on a blueprint is 1 inch = 5 feet. What is the length of an object that is 8 1/2 inches long on the blueprint

Answers

Final answer:

To find the actual length of the object, multiply the length on the blueprint by the scale factor of 5 feet/inch. The length of the object in actual size is 42 feet 6 inches.

Explanation:

To find the actual length of the object represented on the blueprint, we can use the scale factor provided. The scale on the blueprint is 1 inch = 5 feet. So, if the object is 8 1/2 inches long on the blueprint, we can multiply it by the scale factor to find the actual length.

Step 1:

Convert 8 1/2 inches into a mixed number fraction by adding 1 to the whole number.
8 1/2 inches = 8 + 1/2 = 17/2 inches

Step 2:

Multiply the length on the blueprint by the scale factor:
17/2 inches * 5 feet/inch = 85/2 feet

Step 3:

Simplify the fraction if possible:
85/2 feet = 42 feet 6 inches

Therefore, the length of the object in actual size is 42 feet 6 inches.

Final answer:

To find the actual length of an object that is 8 1/2 inches long on a blueprint with a scale of 1 inch = 5 feet, you multiply 8.5 by 5, resulting in an actual length of 42.5 feet.

Explanation:

If the scale on a blueprint is 1 inch = 5 feet, then to determine the actual length of an object that is 8 1/2 inches long on the blueprint, we simply multiply the length on the blueprint by the scale factor.

So, for every inch on the blueprint, there are 5 feet in reality. Therefore, we calculate the actual length as follows:

Multiply 8 1/2 inches by the scale factor, which is 5 feet per inch.8.5 inches * 5 feet/inch = 42.5 feet.

Thus, the actual length of the object is 42.5 feet.

Simplify 5 log2 k – 8 log2 m + 10 log2 n
...?

Answers

The solution to the problem is as follows:

5log2(k) = log2(k^5)
8log2(m)= log2(m^8)
10log2(n)= log2(n^10)
now to subtract logs, you divide the arguments, keeping the same vase.
To add logs, multiply the arguments.

So log2(k^5)- log2(m^8)+ log2(n^10)= log2[k^5* n^10)/m^8]

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Answer:

your answer is log2 k to the fifth power n to the tenth power over m to the eighth power

Step-by-step explanation:

what is 0.9 as a percentage

Answers

Answer is 90% of 1.
90÷100×1=0.9

Final answer:

0.9 as a percentage is 90 percent.

Explanation:

To convert a decimal to a percentage, you need to multiply the decimal by 100. In this case, 0.9 times 100 equals 90. Therefore, 0.9 as a percentage is 90 percent.

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A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (Do not use mixed numbers. Round your answers to three decimal places.)

(a) How fast is the top of the ladder moving down the wall when the base is given below?
15 feet away from the wall
_____ ft/sec

20 feet away from the wall
_____ ft/sec

24 feet away from the wall
_____ ft/sec

...?

Answers

last one. i can do the first part. put x = distance from top of ladder to the floor, y = distance from base of ladder to the wall (draw a picture) then pythagoras sez

x2+y2=25

calculus says

2xx′+2yy′=0

and you are told that

y′=2

so you know

2xx′+4y=0

x′=−2yx

how do you do factoring the gcf out of a binomial

Answers

in general: look for what the terms have in common. for example, take the binomial 2x² - 4x. you would be able to factor out a "2" because of the coefficients, and both terms have an "x" -- you can take that out too. that makes your GCF 2x. technically, what you're doing with factoring is dividing the terms by your GCF--2x² divided by 2x leaves you with x, and 4x divided by 2x leaves you with two. that's how you end up with (x - 2) in your binomial. your result looks like this: 2x(x - 2).

if you have any specific binomials you need help with, feel free to send me a message or comment on this and i'll see if i can help. if you're just asking in general, then just remember to look for what the terms have in common, then take it out.

Choose the correct simplification of (7x3 − 8x − 5) + (3x3 + 7x + 1).

10x3 − x − 4

10x3 + x + 4

4x3 − 15x − 6

4x3 + 15x + 6 ...?

Answers

10x3 − x − 4 is the correct answer to your question

the correct simplification of (7x^3 − 8x − 5) + (3x^3 + 7x + 1),

Is 10x^3 − x − 4

In a circus a tightrope is stretched from the top of a 10 ft. pole to the top of a 25 ft pole. The poles are 36 feet apart and vertical. How long is the tightrope?
Show your work.

Answers

Okay. The whole thing looks like a right-angled triangle. In this situation we are finding out the hypotenuse, which is the longest side in a right-angled triangle and in this case it's the length of the tightrope.

To find the hypotenuse (the tightrope), we have to use 'pythagoras'. It's this rule which states that in any right-angled triangle, the hypotenuse squared is equal to the sum of the other two sides squared. >> h^2 = a^2 + b^2 (where h is the hypotenuse and a and b are the other two sides)

h^2 = (25 - 10)^2 + 36^2 ... pythag
h^2 = 15^2 + 36^2
h^2 = 225 + 1296 = 1521
h = √1521 = 39!

Final answer:

To find the length of the tightrope between two poles of different heights and a known distance apart in a circus using the Pythagorean theorem.

Explanation:

The length of the tightrope can be calculated using the Pythagorean theorem.

Given:

Height of the first pole = 10 ftHeight of the second pole = 25 ftDistance between the poles = 36 ft

Using the Pythagorean theorem:

Length of the tightrope = √(36^2 + (25-10)^2)

Length of the tightrope = √(1296 + 225)

Length of the tightrope = √1521

Length of the tightrope = 39 ft

Lily forgot the security code for her apartment building. the code is two different numbers followed by a letter. how many different possible codes are ther?

Answers

Assuming the keypad has all 26 letters and the numbers 1-9 there are 2106 possible codes

9x9x26=2106

make h the subject of the formula

t=gh/10

Answers

given t=gh/10
gh=10t
h=10t/g

Final answer:

To make 'h' the subject of the formula, multiply both sides by 10 to get the equation 10t = gh. Then divide both sides by 'g' to get h = 10t/g.

Explanation:

The formula given in the question is t = gh/10. To make h the subject of the formula, we'll need to isolate it. To do this, you should start off by multiplying both sides of the equation by 10, thus removing the divide by 10 part. This will give you 10t = gh. Finally, divide both sides of the equation by g. So, your revised formula would be h = 10t/g. This formula now clearly places h as the subject.

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Find sin x/2, cos x/2, and tan x/2, if cos x = -12/13, 180 degrees is less than x which is less than 270 degrees

Answers

cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12

tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5

2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26

sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26

sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5

True or false.
1) Adjacent angles are supplementary?
2) Same-side interior angles are supplementary?
3) Vertical angles are congruent?

Answers

Supplementary angles are those that add up to 180 degrees, which means 1 is correct while 2 is false. 3 is true. Two vertical angles are same and therefore congruent.

Other Questions

Choose the comparative and superlative forms of the following word positive:angry A map has a scale of 1 cm:12km the distance between the two cities on the map is 6.8cm estimate the actual distance between the cities ...? Simplify completely x^2 + 12x +35 ________________ 3x + 15 ...? it takes 1 day to repair 100 meter of road.At this rate how many days will it take to repair 1 kilometer of road? how many 6 1/4 -pieces of fabric can be cut from a 75-inch roll Which of the following would the Universal Declaration of Human Rights uphold? A mothers right to educate her daughter as she saw fit. A governments right to squash a rebellion. A young mans appeal to a court of law. The imprisonment and beating of terrorists. The right of a teenage girl to wear what clothes she wanted. The ability to move to a different village. What is 56/50 simplified Explain how to check multiplication using addition and division . Include an example in your explanation. adam scored x points. imran scored 3 points fewer than adam . shakeel scored twice as many points as imran. together they scored 39 points..... Write down in terms of x an expression for the number of points scored by shakeel. One pipe fills a storage pool in 3 hours. A second pipe fills the same pool in 3 hours. When a third pipe is added and all three are used to fill the pool, it takes only 1 hour. Find how long it takes the third pipe to do the job alone. What did President Washington's Proclamation of Neutrality do? Find the solution set for y = 2x + 1, given the replacement set {(-2, -3), (-1, -1), (0, 2), (1, 3), (2, 6)} ...? In this example of a woodblock print, the ________________, or chosen locations that ensure the colors align correctly, were likely placed in the corners by the artist.a.registration pointsc.brayersb.gougesd.woodblocks Solve for x4ln(4x)=-4 Which is an example of a biomass fuel?A)woodB)coalC)natural gasD)petroleum Knowing how to report injuries/illnesses, seeing the annual summary, and _________are all worker rights related to injury and illness reporting. a. reviewing the osha 300 log b. reviewing the standards c. signing the log d. signing the standards What is the relationship between the two quantities?The age of a car and the value of the car.a. Positive Correlationb. Negative Correlationc. No Correlation ...? What is the primary function of most bacteria in a food web? List 3 different expository writing modes that are commonly seen in social studies articles what are the powers of Congress that are written into the constitution called? Steam Workshop Downloader