The Bayview community pool has a snack stand where Juan works part time he tracks his total sales during each shift last month this box plot shows the results what fraction of Juan’s shifts had a total sales of $225 or more

Answers

Answer 1

The fraction of Juan's shifts with a total sales of $225 or more can be found by looking at the box plot.

We can see that the top line of the box represents the third quartile (Q3) which is the value where 75% of the data falls below.

In this case, Q3 is at approximately $250. This means that 75% of Juan's shifts had total sales less than $250. To find the fraction of shifts with sales of $225 or more, we need to determine how many shifts fall within the range of $225 to $250.

Looking at the box plot, we can see that the distance between Q1 and Q3 (the interquartile range) is approximately $100. Therefore, the distance between Q1 and $225 is approximately one-third of the interquartile range or $33.33. So, any shift with total sales of $225 or more would fall within one-third of the distance between Q1 and Q3.

Therefore, the fraction of Juan's shifts with total sales of $225 or more is approximately one-third of 75%, which is 25%.

In summary, approximately 25% of Juan's shifts at the Bayview community pool had total sales of $225 or more, based on the box plot.

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Related Questions

will name the brainliest

will name the brainliest

Answers

Answer:

x = 622 (rounded to the nearest whole number value)

Step-by-step explanation:

=> Step 1: Solve for the base of top triangle;

Tan(39) = \(\frac{base1}{521}\)

Tan(39) * 521 = base1

421.897 = base1

=> Step 2: Solve for the base of the bottom triangle;

Tan(21) = \(\frac{Base2}{521}\)

Tan(21) * 521 = Base2

199.993 = Base2

=> Step 3: Finding x;

Base1 + Base2 = x

421.897 + 199.993 = x

621.89 or 622 = x

Hope this helps!

Which of the following is true ?

Which of the following is true ?

Answers

Answer:

B one is true

Hope it helps you dear

Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k. Graph of two lines. f of x passes through 2, 0 and 3, 2, and g of x passes through two thirds, 0 and 1, 2.

Answers

Answer:

-3

Step-by-step explanation:

your going back which is negative and its not a fraction

How to solve 3x+y<5
-Graphing Linear Inequalities-

Answers

depends on how you need to solve it

Answer:

2445565544677556877887

At the circus, an acrobat is shot straight upwards out of cannon that is 2 meters from the ground. After 2.6 seconds, the acrobat lands in a safety net that is 1.076 meters from the ground. The formula h=−4.9t2+vt+(initialheight) gives the height h of the acrobat (in meters) at any time t seconds after being shot from the cannon at a velocity of v meters per second from an initial height (in meters.) Identify each known quantity that can be substituted into the equation to find the missing value in this scenario. For the missing value, select "not given."

Answers

To solve for missing values, the number of missing values should be equal to the number of equations. The number of missing values that can be present given only one equation is one missing value

From the question, the known quantities are;

h (known) = 1.076 meters

t (known) = 2.6 seconds

(Initialheight) (known) = 2 meters

The missing value is the velocity;

v (not given)

The reason the above elections are correct is as follows:

The known parameters are;

The (initial) height of the cannon from the ground = 2 meters

The time after which the acrobat lands, t = 2.6 seconds

The height of the safety net on which the acrobat lands, h = 1.076 meters

The formula that gives the height, h, to which the acrobat reaches after being shot from the canon is; h = -4.9·t² + v·t + (initialheight)

Where;

h = The height of the acrobat after being shot or launched from the cannon (known)

The height of the acrobat after the given time, h = 1.076 meters

t = The time in seconds after being shot (Known)

The time is given as 2.6 seconds

v = The velocity with which the acrobat was shot out of the cannon (not given)

The velocity with which the acrobat was shot out of the cannon is the missing value

(Initialheight) = The initial height of the acrobat before he was shot from the cannon (known)

The initial height of the was given as the height of the cannon off the ground which is 2 meters

Therefore, the known quantity or quantities that can be substituted into the equation to find the missing value in the scenario are;

h (known) = 1.076 meters

t (known) = 2.6 seconds

(Initialheight) (known) = 2 meters

The missing value is the velocity, v;

v (not given)

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what is the probability that this student does spend more than $25 a week on gas? a. 0.2445 b. 0.7555 c. 0.6740 d. 0.8403 e. 0.4532

Answers

Using conditional probability, it is found that there is a 0.83 = 83% almost 0.8403  probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.

Probability: -

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

Conditional Probability :

Using conditional probability, it is found that there is a 0.83 = 83% = P( A∩ B) / P(A)

In which

P(B|A) is the probability of event B happening, given that A happened.P(A∩B)  is the probability of both A and B happening.P(A) is the probability of A happening.

In this problem:

Event A: Commute to school each day.

Event B: Spends more than $25 a week.

80% indicated that they commute to school each day. of those that commute to school each day, hence , P(A) = 0.8

Of those, 83% spend more than $25 a week on gasoline, hence .

                     P(B|A) = 0.83

Thus, 0.83 = 83% probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.

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the dot plot below shows the number of songs carly downloaded over 15 successive weekends. what is the greatest number of songs downloaded?

Answers

The greatest number of songs downloaded is 10."

How we find the greatest number of songs downloaded?

"What is the greatest number of songs downloaded?" is:

Identify the highest point on the dot plot.Read the number of songs downloaded at that highest point.

A dot plot is a graphical representation of data using dots. In this case, the dot plot shows the number of songs Carly downloaded over 15 successive weekends. Each dot represents the number of songs downloaded during a particular weekend

To find the greatest number of songs downloaded, we need to identify the highest point on the dot plot. This can be done by visually examining the dot plot and looking for the highest dot.

Once we identify the highest dot, we can see the number of songs downloaded during that particular weekend, which is the greatest number of songs downloaded over the 15 successive weekends.

if the highest dot on the dot plot represents 10 songs downloaded, then the answer to the question would be "The greatest number of songs downloaded is 10."

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How do I solve 1 + 1? I know it seems simple but I’m literally going crazy over this question (please help)

Answers

Answer: 1 + 1 = 2

Step-by-step explanation:

Answer:

Step-by-step explanation: Technically 1 + 1 equals 2 but, if someone wants to be a smart Alec about it, then answer would be 11 if you remove the plus sign and push the two numbers together. :)

Answers: 2 or 11

in δefg, f = 61 inches, ∠f=79° and ∠g=34°. find the length of g, to the nearest 10th of an inch.

Answers

We can use the law of sines to solve for the length of side g in triangle DEF.

sin(∠G)/g = sin(∠F)/f

sin(34)/g = sin(79)/61

g = sin(34)*61/sin(79)

g ≈ 31.8 inches (rounded to the nearest tenth of an inch)

Therefore, the length of side g is approximately 31.8 inches.

What is the ratio of rise to run between the points (-2, 8) and (4, -3)?

What is the ratio of rise to run between the points (-2, 8) and (4, -3)?

Answers

Ratio of rise to run between the points (-2, 8) and (4, -3) = -11/6

To find the ratio of rise to run between two points, we need to calculate the difference in the y-coordinates (rise) and the difference in the x-coordinates (run) between the two points.

Given points:

Point 1: (-2, 8)

Point 2: (4, -3)

Rise = difference in y-coordinates = y2 - y1 = -3 - 8 = -11

Run = difference in x-coordinates = x2 - x1 = 4 - (-2) = 6

Therefore, the ratio of rise to run can be calculated as:

Ratio of rise to run = Rise / Run = -11 / 6

Thus, the ratio of rise to run between the points (-2, 8) and (4, -3) is -11/6.

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in question 16 a 98% confidence interval was computed based on a sample of 41 veterans day celebrations. if the confidence level were decreased to 90%, what impact would this have on the margin of error and width of the confidence interval?

Answers

In question 16, a 98% confidence interval was computed based on a sample of 41 Veterans' Day celebrations. If the confidence level were decreased to 90%, the margin of error would decrease, and the width of the confidence interval would also decrease.

This is because a lower confidence level requires a smaller range of values to be included in the interval, resulting in a narrower range of possible values. However, it's important to note that decreasing the confidence level also increases the risk of the interval not capturing the true population parameter.

1. Margin of Error: The margin of error is affected by the confidence level because it is directly related to the critical value (or Z-score) associated with the chosen confidence level. As the confidence level decreases, the critical value also decreases. This will result in a smaller margin of error.

2. Confidence Interval: The confidence interval is calculated by adding and subtracting the margin of error from the sample mean. Since the margin of error is smaller when the confidence level is decreased to 90%, the width of the confidence interval will also become narrower.

In summary, decreasing the confidence level from 98% to 90% will result in a smaller margin of error and a narrower confidence interval for the sample of 41 Veterans Day celebrations.

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a box of popsicles contains 4 of each flavor: cherry, lemon-lime, grape, and orange. find the probability of one person randomly picking a cherry popsicle then another person selecting a grape popsicle from the box.

Answers

, the probability of one person randomly picking a cherry popsicle and another person selecting a grape popsicle from the box is 1/15.

The probability of one person randomly picking a cherry popsicle is 4/16 (since there are 4 cherry popsicles out of a total of 16 popsicles in the box), and the probability of another person selecting a grape popsicle from the remaining popsicles is 4/15 (since there are only 4 grape popsicles left out of 15 popsicles after one cherry popsicle has been selected).

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of one person randomly picking a cherry popsicle is 4/16 because there are 4 cherry popsicles in the box out of a total of 16 popsicles. After one cherry popsicle has been selected, there are only 15 popsicles left in the box, of which 4 are grape popsicles. Therefore, the probability of another person selecting a grape popsicle from the remaining popsicles is 4/15.

To find the overall probability of both events happening (one person picking a cherry popsicle and another person picking a grape popsicle), we multiply the two probabilities together:

(4/16) x (4/15) = 1/15

Therefore, the probability of one person randomly picking a cherry popsicle and another person selecting a grape popsicle from the box is 1/15.

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The area of a rectangular pool is 5056 m². If the width of the pool is 64 m, what is its length?​

Answers

Answer:

79

Step-by-step explanation:

Using the formula

A=wl

Solving forl

l=A

w=5056

64=79m

To find area, you multiply the width by the length \(( \text{A} = \text{L} \times \text{W})\). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:

\(5056 \div 64 = 79\)

This tells us that the length of the pool is 79 meters. To check this answer, multiply 64 and 79. If it's equivalent to 5056, the given area, then 79 is indeed the length of the pool.

\(64 \times79 = 5056\).

Thus, the length of the pool is 79 m.

After a 20% tip, you pay alwaitress $72. What was the original bill?

Answers

Answer:

$57.60

Step-by-step explanation:

20% of 72 which is 14.40.

72-14.40=57.60

Hopefully this is right, if this is wrong, please comment and let me know.

-MathWizard

Question 4 Given: csc 55° =, find tan 145° A. 514 B. - D. C. 2/ 314413 E. - / 6 pts

Answers

tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct. cotangent is the reciprocal of the sine function.

To find the value of tan 145°, we can use the relationship between tangent and cotangent:

tan x = 1 / cot x

Since cotangent is the reciprocal of the sine function, we can rewrite the given equation as:

csc 55° = 1 / sin 55°

To find the value of sin 55°, we can use the fact that sin x = cos (90° - x):

sin 55° = cos (90° - 55°)

       = cos 35°

Now, we need to find the value of cos 35°. We can use a trigonometric identity:

cos (90° - θ) = sin θ

cos 35° = sin (90° - 35°)

       = sin 55°

Substituting this value back into the equation, we have:

csc 55° = 1 / sin 55°

       = 1 / cos 35°

Now, let's find the value of tan 145° using the relationship between tangent and cotangent:

tan 145° = 1 / cot 145°

Since cotangent is the reciprocal of the sine function, we can rewrite the equation as:

tan 145° = 1 / sin 145°

To find the value of sin 145°, we can use the fact that sin x = sin (180° - x):

sin 145° = sin (180° - 145°)

        = sin 35°

Now, we have:

tan 145° = 1 / sin 145°

        = 1 / sin 35°

Since we previously found that csc 55° = 1 / cos 35°, we can substitute this value into the equation:

tan 145° = 1 / sin 35°

        = csc 55°

Therefore, tan 145° is equal to csc 55°. Given that csc 55° is not provided in the options, none of the given options is correct.

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anybody know how to do dis one?​

anybody know how to do dis one?

Answers

-11-k=-3
-k=8
k=-8
addition property of equality

Answer:

k=8

Step-by-step explanation:

-11-k=-3

+11     +11

-k=8

divide -1 on both sides

k=8

Problem is in the picture please help me out lol 16POINTS!!!

Problem is in the picture please help me out lol 16POINTS!!!

Answers

The required exponential expression equivalent to \(\sqrt[9]{z}\) is \(z^{1/9}\). Option A is correct.

The exponential expression equivalent to the nth root of a number is that number raised to the power of 1/n. Therefore, the exponential expression equivalent to \(\sqrt[9]{z}\) is:

\(z^{1/9}\)

So the answer is A. \(z^{1/9}\).

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Find (f/g)(x) for.
f(x) =
X² - 8x+16/
2 + 2x
; g(x) =
(6x)/
(x-4)

Answers

Therefore , the solution of the given problem of function comes out to be  f(g(x)) = x\(X^{2}\)−4\(X^{2}\)−28x−32/(x−4)

What is function?

Each x value in the domain has one but only one y value range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one

Here,

Given : f(x) =X² - 8x+16/2 + 2x

g(x) =(6x)/(x-4)

To find the f(g(x)) :

=> f(g(x)) = f(6x/(x-4))

=>  f(6x/(x-4)) =  (6x/(x-4) )^2 - 8((6x)/(x-4)) +16/2 + 2(6x)/(x-4)

=>  f(6x/(x-4)) = 36\(x^{2}\)/ ( \(x^{2}\)+ 16 - 8x) - 36\(x^{2}\)/(x+4) +8

=> f(6x/(x-4)) = x\(X^{2}\)−4\(X^{2}\)−28x−32/(x−4)

Therefore , the solution of the given problem of function comes out to be  

f(g(x)) = x\(X^{2}\)−4\(X^{2}\)−28x−32/(x−4)

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Find the area and circumference of a circle with the diameter 8ft use value 3.14 for pie do not round the answers

Answers

a) The area of a circle is given by the formula:

\(A=\frac{\pi\times d^2}{4}\)

Where A is the area, π=3.14 and d is the diameter=8 ft.

By replacing values:

\(A=\frac{3.14\times(8ft)^2}{4}=\frac{3.14\times64ft^2}{4}=50.24ft^2\)

b) The circumference of a circle is given by:

\(C=\pi\times d\)

Where C is the circumference, π=3.14 and d is the diameter=8 ft.

By replacing values:

\(C=3.14\times8ft=25.12ft\)

which value of R makes the right side of the equation equal to 27,000?a)210,000b)220,000c)200,000d)183,000

which value of R makes the right side of the equation equal to 27,000?a)210,000b)220,000c)200,000d)183,000

Answers

Given:

The equation is

\(27000=R-183000\)

Find-:

The value of "R."

Explanation-:

The "R" is

\(\begin{gathered} 27000=R-183000 \\ \\ 27000+183000=R-183000+183000 \\ \\ R=210000 \end{gathered}\)

The value of "R" is 210000.

So, the expression is:

\(\begin{gathered} 27000=R-183000 \\ \\ 27000=210000-183000 \\ \\ 27000=27000 \end{gathered}\)

I WILL BRAINLIEST !!!

Mike is mixing paint for his walls. He mixes
1/6 gallon blue paint and
4/9 gallon green paint in a large container.

What fraction represents the total amount of paint Mike mixes?

Answers

Answer:  11/18

=======================================================

Explanation:

We need to add the fractions, but first we need to get each fraction to have the LCD (lowest common denominator) of 18

18 is the LCM of the denominators 6 and 9

The fraction 1/6 turns into 3/18 when multiplying top and bottom by 3

The fraction 4/9 turns into 8/18 after multiplying top and bottom by 2

Therefore,

(1/6) + (4/9) = (3/18) + (8/18) = (3+8)/18 = 11/18

So Mike has a total of 11/18 of a gallon of paint when combining the two given amounts 1/6 a gallon of blue paint and 4/9 of a gallon of green paint.

at a local pizza shop, customers pay a set price for a large pizza, plus an additional charge per topping ordered. A large pizza with 2 toppings would cost $13.50 and a large pizza with 5 toppings would cost $17.75. what two ordered pairs can you write with from the situation? write an equation for the situation using the ordered pairs. show all work.

Answers

Let's denote the cost of a large pizza as CC and the number of toppings as TT. From the given information, we have the following two scenarios:

A large pizza with 2 toppings costs $13.50.

This can be represented as the ordered pair (2,13.50)(2,13.50).

A large pizza with 5 toppings costs $17.75.

This can be represented as the ordered pair (5,17.75)(5,17.75).

To find the equation representing the situation, we need to determine the additional charge per topping. Let's denote this charge as AA

From the given information, we can set up two equations:

C+2A=13.50C+2A=13.50 (for the first scenario)

C+5A=17.75C+5A=17.75 (for the second scenario)

Solving this system of equations, we find that C=10C=10 and A=1.75A=1.75.

Therefore, the equation representing the situation is C+TA=10+1.75TC+TA=10+1.75T, where CC is the cost of the pizza and TT is the number of toppings.

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Fill in the blank. The vector X = k(4 5) is a solution of x' = (1 4 3 -2) x - (12 1) for k = .

Answers

The value of k that satisfies the equation x' = (1 4 3 -2) x - (12 1) and makes the vector X = k(4 5) a solution is k = -3.

To see why, let's substitute X = k(4 5) into the equation x' = (1 4 3 -2) x - (12 1): x' = (1 4 3 -2) x - (12 1) k(4 5)' = (1 4 3 -2) k(4 5) - (12 1) k(0 0) = (-8k 16k 7k -12k) - (12 1) 0 = (-8k - 12) + (16k - 1) + 7k 0 = 15k - 13 k = -3

Therefore, the value of k that makes the vector X = k(4 5) a solution of x' = (1 4 3 -2) x - (12 1) is k = -3.

This means that the vector X = -3(4 5) = (-12 -15) is a solution of the differential equation.

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Why is brainly taking centuries for searches? This is a real pain, each one I have to wait a minimum of 3 minutes for answers to show.

Answers

High Traffic, Large Database, Internet Connectivity are the reason for taking centuries for searches.

What is the centuries for searches?

High Traffic: If there are many users accessing the site simultaneously, the servers might get overloaded, leading to slow searches.

Large Database: Brainly has a vast database of questions and answers, which could slow down searches if the search algorithm isn't optimized.

Internet Connectivity: Slow internet connection on your side could result in slow searches

If you're experiencing slow searches, you can try the following: Check your internet connection and make sure it's stable and fast. Try clearing your browser cache and cookies and restart your browser.

If you're using an outdated browser, try updating it to the latest version. Consider reaching out to Brainly's customer support team to report the issue and seek assistance.

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The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is?

Answers

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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Ricky wants a carrier so that he can take his pet to the veterinarian. He chooses one in the shape of a right rectangular prism that is 4 feet deep, 3 feet tall, and 2 feet wide. What is the surface area of the carrier?
A. 26ft^2
B. 36ft^2
C. 40ft^2
D.52ft^2

Answers

Answer:

its c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

great job mate

I
figured that Asset = 92'000 ( liability/debt ratio) but need help
on finding long term asset
pls help
Owen's annual expenses are $48,000. His debt-to-asset ratio is 0.5. His liabilities total $46,000. If he maintains the minimum emergency fund, what are his long-term assets? I a) $11,000 b) $50,000 c)

Answers

The Owen's long-term assets amount to $44,000. This is calculated by subtracting his annual expenses of $48,000 from his total assets, which are determined to be $92,000 based on a debt-to-asset ratio of 0.5 and total liabilities of $46,000. Therefore, the correct option is d) $44,000.


Owen's long-term assets can be calculated using the given information. Let's break down the problem step by step:

1. Debt-to-asset ratio: Owen's debt-to-asset ratio is 0.5. This ratio is calculated by dividing total liabilities by total assets. Since we know the ratio, we can express it as a fraction: Debt-to-asset ratio = Liabilities / Assets.

2. Liabilities: Owen's liabilities total $46,000, which means Liabilities = $46,000.

3. Total assets: To find Owen's total assets, we can use the debt-to-asset ratio. We know that Debt-to-asset ratio = Liabilities / Assets. Rearranging the equation, we have Assets = Liabilities / Debt-to-asset ratio.

  Plugging in the given values, we can calculate Owen's total assets:

  Assets = $46,000 / 0.5 = $92,000.

4. Emergency fund: Since Owen needs to maintain the minimum emergency fund, we need to subtract the annual expenses from the total assets. Owen's annual expenses are $48,000. So, his long-term assets would be:

  Long-term assets = Total assets - Annual expenses = $92,000 - $48,000 = $44,000.

Therefore, Owen's long-term assets amount to $44,000. The correct answer option would be d) $44,000.

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umber cube has sides numbered 1 through 6. what is the probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4?

Answers

The probability to obtain the sum of two rolled dice as a multiple of 6 or a multiple of 4 is 13/36.

What is defined as probability of an event?

When comparing the likelihood of an outcome to all other possible outcomes, we use a sort of ratio known as probability.

Given that a dice is rolled twice. Sum of the two rolls has following possibilities,

2,3,4,5,6,7,8,9,10,11,12

A multiple of 6 is obtained when the sum is either 6 or 12.

Sum of 6 is obtained when the two rolls are (1,5) , (2,4) , (3,3), (4,2) , (5,1)

Probability for each is 1/36. Therefore total probability to obtain sum of 6 is 5/36.

Sum of 12 is obtained only when the two rolls (6,6).

Probability to obtain sum of 12 is therefore 1/36.

Similarly for a sum of 4, the probability is 3/36.

For a sum of 8, the probability is 4/36.

Therefore the required probability is the sum of above calculated probabilities,

Required probability = 5/36 + 1/36 + 3/36 + 4/36 = 13/36

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the probability that concert tickets are available by telephone is 0.90. for the same event, the probability that tickets are available through a web site is 0.94. assume that these two ways to buy tickets are independent. what is the probability that someone who tries to buy tickets both through the internet and by the telephone will obtain at least one ticket? round your answer to four decimal places (e.g. 0.9876).

Answers

The probability that someone who tries to buy tickets both through the internet and by telephone will obtain at least one ticket is equal to 1 minus the probability that they won't obtain a ticket through either method.

The probability that they won't obtain a ticket through either method is equal to the product of the probabilities of not obtaining a ticket through each method, since the events are independent.

P(not obtaining a ticket through the internet) = 1 - 0.94 = 0.06P(not obtaining a ticket through telephone) = 1 - 0.90 = 0.10P(not obtaining a ticket through either method) = 0.06 * 0.10 = 0.006

Therefore, the probability that someone who tries to buy tickets both through the internet and by the telephone will obtain at least one ticket is:

1 - 0.006 = 0.994 = 0.994 (rounded to four decimal places)

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evaluate log49 base 1/7​

Answers

Answer:

Step-by-step explanation:

Exact Form:

1/2

Decimal Form:

-0.5

Answer:

- 2

Step-by-step explanation:

using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

\(log_{\frac{1}{7} }\) 49 = n , then

49 = \((\frac{1}{7}) ^{n}\)

49 = \((7^-1)^{n}\) , that is

7² = \(7^{-n}\)

since bases on both sides are equal then equate exponents

- n = 2 ( multiply both sides by - 1 )

n = - 2

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