There is a probability of 0.93 that a visitor to a website will bounce (leave the website without clicking on any links). what is the probability that at least 10 of the next 12 visitors to the website will bounce?

Answers

Answer 1

Final answer:

To find the probability that at least 10 of the next 12 website visitors will bounce, you calculate the sum of the binomial probabilities for 10, 11, and 12 successes (bounces) out of 12 trials.

Explanation:

To find the probability that at least 10 of the next 12 visitors to a website will bounce, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

C(n, k) is the combination of n items taken k at a time.

p is the probability of a single success (in this case, a bounce).

k is the number of successes.

n is the total number of trials.

In this question:

p = 0.93 (probability of bounce)

n = 12 (total visitors)

We want to calculate the probability of at least 10 bounces, so we need to calculate P(X = 10) + P(X = 11) + P(X = 12).

P(X = 10) = C(12, 10) * 0.93^10 * (1 - 0.93)^(12 - 10)

P(X = 11) = C(12, 11) * 0.93^11 * (1 - 0.93)^(12 - 11)

P(X = 12) = C(12, 12) * 0.93^12 * (1 - 0.93)^(12 - 12)

The final probability is the sum of these three probabilities.

Related Questions

Find the nth term of the follwing sequences 7,13,19,25

Answers

n=1+6x
Hope this helps!

7,13,19,25,31,37,43,49,55

n=55

Taylor bought 200 shares of stock for $18.12 per share last year. He paid his broker a fl at fee of $30. He sold the stock this morning for $21 per share, and paid his broker 0.5% commission. a. What were Taylor's net proceeds?

Answers

Final answer:

Taylor's net proceeds from the stock transaction are $525, after accounting for the initial purchase cost and broker's commissions on both the buying and selling of the stock.

Explanation:

Taylor bought 200 shares of stock at $18.12 per share and paid a flat brokerage fee of $30. To find the initial cost, we multiply the number of shares by the purchase price and then add the fee:

200 shares × $18.12/share + $30 = $3,654

When Taylor sold his shares at $21 per share, his gross proceeds were:

200 shares × $21/share = $4,200

The broker commission of 0.5% on the selling price is calculated as:

$4,200 × 0.005 = $21

To find Taylor's net proceeds, we subtract both the initial cost and the selling commission from the gross proceeds:

$4,200 - $3,654 - $21 = $525

Therefore, Taylor's net proceeds from the stock transaction are $525.

Which rows represent when (p ∧ q) ∨ (p ∧ r) is true?\

Answers

the statement is ambiguous, it must be written as (p ∧ q) ∨ r
or p ∧ (q ∨ r).

Answer:

The answer is B. A, B, and C

Step-by-step explanation:

Just took the test on edg

draw or write to explain why 1 hundred 4 tens and 14 tens name the same amount

Answers

1 hundred=100
4 tens=40
14 tens= 140

When we add them all we get 280 ones or 2.8 hundreds or 28 tens.

please help im really dumb lol

Answers

Haha I do K12 WAVA too! Sorry, I'm not 100% sure of the answer, though. :)

The outside diameter of a pipe is 5 and 7/32 inches. The walls of the pipe are 5/32 inches thick whats the inside diameter

Answers

Sent the solution on the pic.

Only the Fahrenheit one plz

Answers

The formula given is:
F = 1.8C + 32
The temperature C is given as -20
So, all you have to do is plug the given C temperature in the formula to get the corresponding F temperature as follows:
F = 1.8(-20) + 32 = -36 + 32 = -4 degrees Fahrenheit

you have a standard deck of 52 cards. you pick one card from the deck and then , without putting the first card back , pick a second card . what is the probability that both cards will be 9s??

Answers

there are 4 9's in a deck

so first pick = 4/52 reduces to 1/13

second pick there would be 3 9's left and 51 cards so it would be 3/51 reduces to 1/17

probability of both happening = 1/13 * 1/17 = 1/221 (fraction form)

if you need it in decimal it = 1/221 = 0.00452, rounded to 0.005

simplify the fraction 48 over 75

Answers

48/75
Reduce by 3
16/25

48/75

both numbers are divisible by 3

so it simplifies to 16/25

John is 3 years older than jim. jim is 4 years less than twice david's age. how old are the three boys if their ages add up to 35?

Answers

Here you go, hope this helps

A car travels down a highway at 45 m/s. An observer stands 200 m from the highway.

How fast is the distance from the observer to the car increasing when the car passes in front of the observer?

How fast is the distance increasing 40 s later?

Answers

check the picture below.

so, the left-side is when the car is right in front of the observer, at that point, notice the y-distance, is pancaked, so is 0, but increasing, we know dy/dt is 45 m/s, and notice the "r" distance, is the same as the "x" distance, keeping in mind that whilst "r" is increasing or moving about, "x" is static, is a constant.

[tex]\bf \stackrel{\textit{pythagorean theorem}}{r^2=x^2+y^2}\implies 2r\cfrac{dr}{dt}=\stackrel{constant}{0}+2y\cfrac{dy}{dt} \\\\\\ 2r\cfrac{dr}{dt}=0+2(0)(45)\implies \cfrac{dr}{dt}=0[/tex]

now, 40 seconds later, since the car is going at 45 m/s, in 40 seconds it has covered 40 * 45 meters, or 1800, so y = 1800, x = 200, what is "r"?

[tex]\bf r^2=x^2+y^2\implies r=\sqrt{200^2+1800^2}\implies r=\sqrt{3280000} \\\\\\ r=\sqrt{200^2\cdot 82}\implies r=200\sqrt{82}\\\\ -------------------------------\\\\ 2r\cfrac{dr}{dt}=0+2y\cfrac{dy}{dt}\implies \cfrac{dr}{dt}=\cfrac{y\frac{dy}{dt}}{r}\quad \begin{cases} r=200\sqrt{82}\\ y=1800\\ \frac{dy}{dt}=45 \end{cases} \\\\\\ \cfrac{dr}{dt}=\cfrac{1800\cdot 45}{200\sqrt{82}}\implies \cfrac{dr}{dt}=\cfrac{405}{\sqrt{82}}\implies \cfrac{dr}{dt}=\cfrac{405\sqrt{82}}{82}[/tex]

60 bricklayers began a 16-day project to build a castle. After five days, five of the bricklayers quit the job. If they work the same amount each day, how many extra day(s) (beyond the original estimate of 16) will the remaining bricklayers need?

Answers

The concept of answer this item is the man-days equation. This means that the man-days of the original plan should be equal to that of the real activity. From the given,

(60)(16) = (5)(60) + (11 + x)(60 - 5)

where x is the number of extra days that the bricklayers will still have to work to complete the job. The value of x from the equation is 1

Answer: 1

Mr. Yu applies 1/2 ounce of fertilizer to every 5/8 square meter of his lawn. How many ounces of fertilizer does Mr. Yu use per square meter for his lawn? Enter your answer in the box as a fraction in simplest form.

Answers

Divide both by 5/8 because 5/8 divide by 5/8 =1
(1/2)/(5/8)
1/2*8/5
8/10
4/5

Answer:

[tex]\frac{4}{5} [/tex] ounce

Step-by-step explanation:

We can use rule of three to answer this problem.

The data we have is the following:

fertilizer (ounces) area(m^2)

1/2 ⇒ 5/8

x ⇒ 1

the x represents the unknown quantity of fertilizer that is used in one square meter.

Now we multiply the cross quantities and divide by the remaining value.

[tex]x=\frac{1}{2}*1[/tex] ÷ [tex]\frac{5}{8}[/tex]

[tex]x=\frac{1*8}{2*5} =\frac{8}{10} =\frac{4}{5}[/tex]

He will use 4/5 ounces of fertilizer per square meter.

What is the simplified form of the expression k^3(K^7/5)^-5

Answers

[tex]\bf k^3\left( \cfrac{k^7}{5} \right)^{-5}\implies k^3\left( \cfrac{5}{k^7} \right)^5\implies k^3\left( \cfrac{5^5}{k^{7\cdot 5}} \right)\implies k^3\cdot \cfrac{5^5}{k^{35}} \\\\\\ k^3\cdot 5^5\cdot k^{-35}\implies 5^5\cdot k^{3-35}\implies 5^5k^{-32}\implies \cfrac{5^5}{k^{32}}\implies \cfrac{3125}{k^{32}}[/tex]

mrs. ellis wants to tile a rectangular room that is 16 feet long and 12 feet wide with square tiles. each square floor is 2 feet. the tiles cost $0.84 per tile. what is the cost to tile the room not including labor?

Answers

The room has 16*12= 192 feet

192:2=96 tiles need Mrs Ellis

96*0,84 $=80,64 $ is the cost

Final answer:

Mrs. Ellis would need 48 tiles to cover the area of her room. The cost of a single tile is $0.84, so the total cost to tile the room not including labor would be $40.32.

Explanation:

To determine the cost to tile the room, we first need to figure out how many tiles Mrs.Ellis needs. We know that each tile covers an area of 2ft * 2ft, which is 4 square feet. Now, we must find out the area of the room by multiplying the length by the width (16ft * 12ft), resulting in 192 square feet. To find out how many tiles are needed, we can divide the total area of the room by the area of one tile (192ft² / 4ft² = 48). Therefore, Mrs. Ellis needs 48 tiles to cover the entire room. Since each tile costs $0.84, the total cost would be 48 * $0.84 = $40.32. Thus, the cost to tile the room excluding labor charges is $40.32.

Learn more about Floor Tiling here:

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Baruka has gallon of milk left in the 1/2 fridge. How many 5/64 gallon (10-ounce) servings of milk does she have left? Show your work

Answers

The question is written oddly...If you mean she has 1/2 a gallon left then she has 64 oz left so she has 6.4 10 oz servings left... 64 divided by 10=6.4

Baruka has [tex]$ \frac{32}{64} $[/tex] gallons left. [tex]$ \frac{32}{5} $ servings of $ \frac{5}{64} $[/tex] gallons; she has 6 servings.

To find out how many [tex]$ \frac{5}{64} $[/tex] gallon servings of milk Baruka has left, we need to first convert the amount of milk she has in gallons to the same unit as [tex]$ \frac{5}{64} $[/tex] gallons.

Since [tex]$ 1 $[/tex] gallon is equivalent to [tex]$ \frac{64}{64} $[/tex] gallons, and she has [tex]$ \frac{1}{2} $[/tex] gallon left, she has [tex]$ \frac{1}{2} \times \frac{64}{64} = \frac{32}{64} $[/tex] gallons left.

Now, we can find out how many [tex]$ \frac{5}{64} $[/tex] gallon servings are in [tex]$ \frac{32}{64} $[/tex] gallons:

[tex]\[ \frac{\frac{32}{64}}{\frac{5}{64}} = \frac{32}{5} \][/tex]

Now, we divide [tex]$ 32 $ by $ 5 $[/tex] to find the number of servings:

[tex]\[ \frac{32}{5} = 6.4 \][/tex]

So, Baruka has [tex]$ 6.4 $[/tex] servings of [tex]$ \frac{5}{64} $[/tex] gallon servings of milk left. However, since she can't have a fraction of a serving, she has [tex]$ 6 $[/tex] servings left.

A major stadium has 45,000 seats. If baseball fans have bought 5/8 of the seats for the next game, how many seats are available?

Answers

if 5/8 were bought then 3/8 are still available ( 5/8 +3/8 = 1)

45000 * 3/8 = 135000/8 = 16,875 seats are still available

which of the fallowing is a factor? EXPLAIN:

Answers

Find two numbers that multiply to -28 (last term) and add to -3 (middle term)

Those two values are -7 and 4
-7 plus 4 = -3
-7 times 4 = -28

Since the numbers are -7 and 4, this means the given expression factors to (x-7)(x+4)

The two factors are x-7 and x+4

The factor x+4 isn't listed in the list of answer choices, so we can ignore it. The factor x-7 is listed as choice B, so that is the only answer.

Find the total amount due on a simple-interest loan if the principal is $3000 with a rate of 5% for 10 years.

Answers

Final answer:

The total amount due on the simple-interest loan is $4500.

Explanation:

To find the total amount due on a simple-interest loan, we can use the formula:

Total Amount = Principal + (Principal x Rate x Time)

Given that the Principal is $3000, the Rate is 5%, and the Time is 10 years, we can substitute these values into the formula to calculate the total amount:

Total Amount = $3000 + ($3000 x 0.05 x 10)Total Amount = $3000 + $1500Total Amount = $4500

Therefore, the total amount due on the loan is $4500.

a light bulb consumes 3600 Watts hours per day. how long does it take to consume 12600 Watts hours?

Answers

3.5
because 12600 divided by 3600 is 3.5

it would take 84 hours,or 3.5 days,hope this helps

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = x3 + x − 9, [0, 2]

Answers

[tex] \frac{f(2)-f(1)}{2-1}= \frac{2^3+2-9-(1^3+1-9)}{1}=8+2-9-1-1+9=8 \\ derivative of f(x) =3x^2+1,3x^2+1=8,3x^2=7,x= \sqrt \frac{7}{3} [/tex]
which supports the mean value theorem, you want even better news
if the function is a polynomial it will always follow the mean value theorem

Jan has a 12 ounce milkshake four ounces in the milkshake are vanilla and the rest is chocolate what are two equivalent fraction of the milkshake is vanilla

Answers

four ounces out of 12 ounces would be 4/12, or simplified form that would be 1/3, and the rest is 8/12, or 2/3.

Answer:

In this item, we are given that out of 12 ounces of ingredients comprising the milkshake, there are 4 ounces vanilla. Expressing this into fraction will give us an answer of 4/12. This fraction can be one of the answers. Since we are asked for two fractions, we can simplify 4/12 such that we get an equivalent fraction that is equal to 2/6. Hence, the answers to this question are 4/12 and 2/6...

hope it helps

We can solve for x using a technique called successive approximations. step 1: if we assume that x is very small compared to 0.100 (such that 0.100 x ≈ 0.100) then our first approximation of x (let\'s call it x1) can be calculated as

Answers

Supposed that we are given the equation:

7.20 x 10^-5 = x(0.100+x)^2

So assuming that x is very small so that:

0.100 + x ~ 0.100

and calling it x1, so:

7.20 x 10^-5 = x1 (0.100)^2

Then we simply solve for x1:

x1 = 7.20 x 10^-5 / (0.100)^2

x1 = 7.20 x 10^-3

Final answer:

Successive approximations involve iterative guesses to find a solution, Newton's Method refines initial guesses using derivatives, and the Intermediate Value Theorem guarantees a solution in a given interval.

Explanation:

Successive Approximations: When solving for x using successive approximations, we make iterative guesses, refining our estimation with each step. The method involves making an initial guess, then refining it until a sufficiently accurate solution is obtained.

Newton's Method: Newton's method is a numerical technique used to find roots of a function. It involves making an initial guess and then iteratively improving upon it by using the function's derivative.

Intermediate Value Theorem: The intermediate value theorem states that a continuous function that takes on values of opposite signs at two points must have at least one root within that interval.

Let n be a natural number such that the remainder of the division of 4294 by n is 10, and the remainder of the division of 3521 by n is 11. what is n?

Answers

4294 - 10 = 4284 and 3521 - 11 = 3510. The common factors of 4284 and 3510 are 18, 9, 6, 3, and 2. The problems that work are 18 because only with 18 do the remainders work out. Therefore n = 18

Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function that best represents Samantha's account and how much does she have in savings after 5 years? Round your answer to the nearest dollar. Hint: Use the formula, f(x) = P(1 + r)x. (5 points)

Answers

Hello! I can help you with this!

a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.

b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.

Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.

Answer: The answer is y = 500(1.04) x

Step-by-step explanation: The formula is y = P (1 + r) x

So, given that P which is the initial value 500(1+0.4) x

f(x)=500(1.04) x

So here's the question
"Melissa knitted a scarf with 9 1/5
yards of red yarn. She used another 3 11/25 yards of blue yarn to finish knitting. How much more red than blue yarn did Melissa use?"

I need help solving it, and it is subtraction, right?

Answers

yes, is subtraction, to get their "difference".

first off, let's convert the mixed fractions, to "improper", and then subtract.

[tex]\bf \stackrel{red~yarn}{9\frac{1}{5}}-\stackrel{blue~yarn}{3\frac{11}{25}}[/tex]

[tex]\bf -------------------------------\\\\ \stackrel{mixed}{9\frac{1}{5}}\implies \cfrac{9\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{46}{5}} \\\\\\ \stackrel{mixed}{3\frac{11}{25}}\implies \cfrac{3\cdot 25+11}{25}\implies \stackrel{improper}{\cfrac{86}{25}}\\\\ -------------------------------\\\\ \cfrac{46}{5}-\cfrac{86}{25}\impliedby \textit{our LCD is 25}\implies \cfrac{(5\cdot 46)~~-~~(1\cdot 86)}{25} \\\\\\ \cfrac{230~-~86}{25}\implies \cfrac{144}{25}\implies 5\frac{19}{25}[/tex]

you work for a dress maker and your boss sends you to the fabric store to buy blue fabric she tells you to buy the best deal what's is the best deal

20 yards for $30.00
40 yards for $45.00
50 yards for $70.00
65 yards for $85.00

Answers

Given 20 yards for $30.00, unit rate = $30 / 20 yards = $1.5 per yard

Given 40 yards for $45.00, unit rate = $45 / 40 yards = $1.13 per yard

Given 50 yards for $70.00, unit rate = $70 / 50 yards = $1.4 per yard

Given 65 yards for $85.00, unit rate = $85 / 65 yards = $1.31 per yard

The best deal is the cheapest rate which is 40 yard for $45.00

A box contains marbles of five different colors: red, green, blue, yellow, and purple. there is an equal number of each color. assign probabilities to each color in the sample space. (give your answers as fractions.)

Answers

P(red) = 1/5 [that says "probability of getting red is one fifth"
P(green) = 1/5
P(blue) = 1/5
P(yellow) = 1/5
P(purple) = 1/5

The reason the fractions are all the same is that there are equal numbers of each color. For example, if there were 7 marbles of each color, there would be a total of 35 marbles.

P(red) = 7/35 = 1/5
Similar for the other colors.

Final answer:

To assign probabilities to each color in the sample space of marbles in a box, you need to determine the total number of marbles and the number of marbles of each color. Assuming there is an equal number of each color, the probability of drawing each color is 1/5.

Explanation:

To assign probabilities to each color in the sample space, we need to determine the total number of marbles and the number of marbles of each color. Since there is an equal number of each color, let's assume there are n marbles of each color.

The total number of marbles is 5n. The probability of drawing a red marble is n/5n = 1/5. Similarly, the probability of drawing a green marble is n/5n = 1/5, the probability of drawing a blue marble is n/5n = 1/5, the probability of drawing a yellow marble is n/5n = 1/5, and the probability of drawing a purple marble is n/5n = 1/5.

The three incoming currents at a node in an electrical circuit measure 0.7 amps, 0.68 amps, and 0.47 amps two of the three outgoing current measure 0.8 amps and 0.55 amps find the measure of the third outgoing current

Answers

What goes in goes out. This means none of the current is lost. So if 0.7amps+0.68amps+0.47amps = 1.85 amps comes in, then 1.85 amps goes out. So far we have 0.8 amps+0.55 amps going out= 1.35 amps. This means we need an additional 1.85-1.35amps going out= 0.5 amps for the third outgoing current. Cheers!

The measure of the third outgoing current will be 0.5 amperes.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The three incoming currents at a node in an electrical circuit measure 0.7 amps, 0.68 amps, and 0.47 amps two of the three outgoing currents measure 0.8 amps and 0.55 amps.

Then the measure of the third outgoing current will be

We know that the sum of the incoming current will be equal to the sum of the outgoing current at a junction.

Let the incoming current be I₁, I₂, and I₃. And the outgoing current is I₄, I₅, and I₆. Then we have

I₁ + I₂ + I₃ = I₄ + I₅ + I₆

0.7 + 0.68 + 0.47 = 0.8 + 0.55 + I₆

1.85 = 1.35 + I₆

I₆ = 0.5

Thus, the measure of the third outgoing current will be 0.5 amperes.

More about the Algebra link is given below.

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What percentage is 1022.40 of 1420 and how do i solve

Answers

Divide 1022.40 by 1420. oh and also × 100

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find two numbers the quotient is between 674 Subduction zones are associated with this type of plate boundary.a. divergent boundariesb. convergent boundariesc. strike-slip boundariesd. all of the above When converting the volume of water to mass of water, what conversion unit would you use?A. one milliliter of water equals one milligram of waterB. one liter of water equals one gram of waterC. one liter of water equals one kilogram of waterD. one thousand liters of water equals one kilogram of water In a dilution ___ is added to a solution to decrease the concentration of the ___ however the number of moles of ___ will remain constant Two waves of equal magnitude but opposite phase interfere with one another to cause the waves to disappear. This is caused by:each wave canceling the other out, causing the waves to disappear completelyrefraction of waves multiplying each other's amplitude with the effect of canceling each other outthe Conner effectdestructive interference giving the effect of making the waves disappear, but each will travel on its way Why did colonists think the writs of assistance violate their rights? A bicyclist started riding at 8:00 A.M. The diagram below shows the distance the bicyclist had traveled at different times. What was the bicyclist's average rate of speed in miles per hour?8:00 A.M. --> 3.5 ---> 8:14 A.M. -------> 8.5 -----> 8:48 A.M. The average rate of speed is ___ miles per hour. How many tangents to the circle can be constructed through point P? Which access control method model grants rights or privileges based on their job function or position held? Which of the following statements about "life without gravity" explains why it is an expository essay? On the plans for new house, the house is 18 inches wide by 20 inches long. If the house is actually going to be 27 feet wide, what will the actual length of the house be?A.) 24.3 ftB.) 40.5 ftC.) 30 ftD.) 25 ftMarked brianlist if yoy explian how you got the answer. WILL MARK AS BRAINLIEST!!!!!!Which philosophy came from China and later adopted by Japanese warriors because it emphasized obedience and social harmony? A)Confucianism B)Daoism C)Legalism D)Shintoism how did a high literacy rate help draw the separate colonies together? There are two shoe stores in a small town. store a is selling a pair of running shoes for $39.50. if it costs store a $40 to order this pair of shoes from the factory, then what is store a doing? Waves move fastest inlow-temperature gases.low-temperature solids.high-temperature gases.high-temperature solids. Why was Eli Whitneys invention of the cotton gin an important development? A. Im showed that the Lowell system was an effective method for organizing labor. B. It fueled the shipment of U.S. cotton to China and Japan for processing. C. it allowed U.S. farmers to take advantage of the large quantities of cotton they could grow. D. It demonstrated that Great Britain was still the world leader in industrial innovation. James built a small electric car and recorded the distance it traveled. The table below shows the distance traveled (n) during the first 4 seconds after starting (f). Elapsed Time (seconds)Distance Traveled (feet) 16.2 212.4 318.6 424.8 Which of the following equations represents the relationship between the distance traveled and the elapsed time? f = 6.2 + n n = 6.2 + f f = 6.2n n = 6.2f Why does Charlie identify with the bus boy in the restaurant? Suppose that Bobo purchases 1 pizza per month when the price is $19 and 3 pizzas per month when the price is $15. What is the price elasticity of Bobos demand curve? how do energy conversions make a car go down the street Steam Workshop Downloader