One-third of a number is 7. Find the number.

the probability of rolling a seven on or before the eighth roll when rolling two dice is approximately 0.665 or 66.5%.

To determine the probability of rolling a seven on or before the eighth roll when rolling two dice, we need to consider the possible combinations that result in a sum of seven.

There are six possible outcomes when rolling two dice: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), and (1, 6). Similarly, there are (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), and (2, 6), and so on, up to (6, 6).

Out of these possible outcomes, there are six combinations that result in a sum of seven: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

The probability of rolling a seven on a single roll is 6/36 or 1/6 since there are six favorable outcomes out of a total of 36 possible outcomes (6 sides on each die).

To find the probability of rolling a seven on or before the eighth roll, we need to consider the complementary probability. The complementary probability is the probability of not rolling a seven on the first seven rolls.

The probability of not rolling a seven on a single roll is 5/6 since there are five outcomes (not including the combinations that result in a seven) out of six possible outcomes.

Therefore, the probability of not rolling a seven on the first seven rolls is (5/6)^7.

The probability of rolling a seven on or before the eighth roll is then 1 - (5/6)^7, which is approximately 0.665 or 66.5%.

So, the probability of rolling a seven on or before the eighth roll when rolling two dice is approximately 0.665 or 66.5%.

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Answer:b=573

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

0.36*250 = 90

The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.

Hence, The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.

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Answer:

y = 3x + 11

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 2 ) and (x₂, y₂ ) = (- 2, 5 )

m = \(\frac{5-2}{-2-(-3)}\) = \(\frac{3}{-2+3}\) = \(\frac{3}{1}\) = 3 , then

y = 3x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 2, 5 )

5 = 3(- 2) + c = - 6 + c ( add 6 to both sides )

11 = c

y = 3x + 11 ← equation of line

Answer:

Step-by-step explanation:

You solve the inequality like you would if there was an = symbol, the only rule for inequalities is that if you multiply or divide by negative then, you flip the inequality sign

3)  -8y ≤ 40                >Divide both sides by -8, and flip sign

y ≥ 40

4)  1.1z > -3.3             >Divide both sides by 1.1, do not flip sign because

                                       you did not divide by negative

z > 3

5)  1/3 x ≥  2.5              >MUltiply both sides by 3

x ≥ 7.5

6) adjacent means next to angles

<EAD and <CAD

<CAD and <BAC

<BAC and <BAE

<BAE and <EAD

7) vertical angles means across

<EAD and <BAC

<CAD and <BAE

Answer:

$1,296

Step-by-step explanation:

kelly earns $288 during her first 8 hour shift. how much would kelly earn on a full paycheck of 36 hours? interpret your answer.

288/8 = $36 per hour

If she worked 36 hours at $36 per hour:

36* $36 = $1,296

Answer:

(-1,-2)

Step-by-step explanation:

The given coordinates are ,

Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,

→ Midpoint = ( 4-2/2 , 10-6/2)

→ Midpoint = ( -2/2 , -4/2 )

→ Midpoint = ( - 1 , -2)

The following statements are true:

The red light is reflected.

The blue light is absorbed.

When white light, which consists of a combination of all visible colors, illuminates the book with a red cover, the red light component in the white light is reflected by the book cover. As a result, we perceive the book to be red since that is the color of light being reflected back to our eyes.

On the other hand, the blue light component in the white light is not reflected by the red book cover. Instead, it is absorbed by the cover, which means the material of the book cover absorbs the blue light and does not reflect it back. Consequently, we do not see the blue light, and the book still appears to be red.

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Answer:

p=-6

Step-by-step explanation:

w =2 y =4

p=7w - 5y

p = 7(2) - 5(4)

p= 14 - 20

p= -6

Answer:

-6

Step-by-step explanation:

Substituting 2 for w and 4 for y, we get:

P=7w - 5y  =>  P=7(2) - 5(4)  =  14 - 20  =  -6

6x/2 = 12

Cancel out the common factor 2:

3x = 12

Divide both sides by 3:

x = 4

hope this helped!

The conclusions that can be made about the two distributions are:

Options A and D are correct.

The means-to-MAD ratio is found by dividing the mean of a dataset by its Mean Absolute Deviation (MAD).

We have that in Data Set 1, the means-to-MAD ratio is 54/4 = 13.5, and in Data Set 2, the means-to-MAD ratio is 60/2 = 30.

Since the means-to-MAD ratio in Data Set 1 is 13.5 and in Data Set 2 is 30, we can conclude that the two distributions are not similar.

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Answer:

both will give you the same amount of money, $100,000, so I would consider the fact that I'd rather only have 200 people give me money then 500. So I would say 200 people giving me $500 would be the best option

Answer:

by2

a−2=

6

5

a

\frac{2}{3}a-\frac{5}{6}a=2

3

2

a−

6

5

a=2

\frac{4a-5a}{6}=2

6

4a−5a

=2

\frac{-a}{6}=2

6

−a

=2

-a=2\times 6−a=2×6

-a=12−a=12

a=-12a=−12

Therefore, the value of a will be -12.

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Solve : 3a + 4/ 2 - 6a = -2/5

Answer:

B and E

Step-by-step explanation:

3^-8/3^-4 = 1/81 or .01234567...

I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.

3^-12 = 1/531441 <- not the answer

3^-4 = 1/81 <- answer!

3^2 = 9

1/3^2 = 1/9

1/3^4 = 1/81

1/3^12 = 1/531441

its also good to remember

3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.

Hope this helps!

\(B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ \)

Step-by-step explanation:

\( \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: \)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}\)

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Step-by-step explanation:

If we put 5 in X we get:

1. 3x-2 = 3(5)-2 = 15-2 = 13

2. x+8 = 5+8 = 13

So: 3x-2=x+8.

True.

In an algorithm like insertion sort, at each iteration, the algorithm finds the correct position in the sorted section for the next element in the unsorted section.

The algorithm iterates through the unsorted section, compares each element with the elements in the sorted section, and inserts the element in the correct position to maintain the sorted order.

This process continues until all elements in the unsorted section are inserted into their correct positions, resulting in a fully sorted array.

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The inverse of f is a function which takes any value x and divides it by 4, then adds 7 to the result.

The inverse of a function is the opposite of the original function, meaning that it takes the output of the original function and turns it back into the input. In this case, the original function is f(x)=1/4x+7. To find the inverse, we need to solve for x in the equation, which can be done by subtracting 7 from both sides and then multiplying both sides by 4. This gives us x=(x+7)/4, which is the inverse of the original function. To put it simply, the inverse of f takes any output of the original function, adds 7 to it, and then divides it by 4 to get the original input.

example;

If f(x)=1/4x+7 and x=3, then

f(3) = (1/4)3 + 7

7.75

The inverse of f is f^-1(x) = (x + 7) / 4.

If f^-1(7.75) = (7.75 + 7) / 4, then

f^-1(7.75) = 14.75 / 4

3.6875

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Answer:

1 after 0 .1 before 5 .and two before -5

Step-by-step explanation:

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

Work Shown

45 girls : 15 boys

45/15 girls : 15/15 boys .... divide both parts by 15

3 girls : 1 boy

This tells us there are three times as many girls as there are boys.

We write this as the ratio 3 : 1. The order of the terms is important. We cannot say 1:3 since that would imply there are more boys than girls, but it's the other way around.

The value of result in the following expression will be 0 if x has the value of 12:

result = x > 100 ? 0 : 1.

The expression given is known as a ternary operator.

It's a short form of if-else.

The ternary operator is written with three arguments separated by a question mark and a colon:

`variable = (condition) ? value_if_true : value_if_false`.

Here, `result = x > 100 ? 0 : 1;` is a ternary operator, and its meaning is the same as below if-else block.if (x > 100)  {  result = 0; }  else {  result = 1; }

As per the question, we know that if the value of `x` is `12`, then the value of `result` will be `0`.

Hence, the answer is `0`.

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The radius of convergence is (5/3).

To find the radius of convergence of the series, we can use the ratio test. The ratio test states that for a power series of the form ∑a_n(x-c)^n, the series converges if the following limit exists and is less than 1:

lim(n→∞) |a_(n+1)/a_n|

In this case, the series is given by ∑N=0[infinity] N!(3x-4)^N. To apply the ratio test, let's find the ratio of consecutive terms:

a_(n+1) = (n+1)! (3x-4)^(n+1)

a_n = n! (3x-4)^n

|a_(n+1)/a_n| = [(n+1)! (3x-4)^(n+1)] / [n! (3x-4)^n]

= (n+1)(3x-4)

Now, taking the limit as n approaches infinity:

lim(n→∞) (n+1)(3x-4)

For the series to converge, this limit should be less than 1. Setting the limit to be less than 1, we have:

(n+1)(3x-4) < 1

Since this inequality must hold for all values of n, we can ignore the (n+1) term and solve for (3x-4):

3x-4 < 1

3x < 5

x < 5/3

Therefore, the radius of convergence is (5/3).

Note: The radius of convergence indicates the interval around the center point where the power series converges. In this case, the series converges for values of x within a distance of 5/3 from the center point.

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Answer:

3/16

Step-by-step explanation:

Answer:

Es el Pentágono creo amigo nose si sera

Answer:

0.0312

Step-by-step explanation:

You subtract 29.12 by 26 which equals 3.12

Then you divide by 100 which equals 0.0312

Answer:

12

Step-by-step explanation: