What is the sine ratio for angle A?

A. 10/8
B. 8/10
C. 6/10
D. 6/8

The expected number of times we see three consecutive tails in 12 coin flips is 5/4.

Let X be the random variable representing the number of times we see three consecutive tails in 12 coin flips.

We can break down X into 10 smaller random variables, where X(i) represents the number of times we see three consecutive tails starting at the ith flip.

Specifically, X(i) = 1 if the ith, (i+1)th, and (i+2)th flips are all tails, and 0 otherwise.

Then we have:

X = X(1) + X(2) + ... + X(10).

Using the linearity of expectation, we can find the expected value of X by summing the expected values of X(1), X(2), ..., X(10)

E[X] = E[X(1)] + E[X(2)] + ... + E[X(10)]

To find E[X(i)], we can use the fact that the probability of getting three consecutive tails in a row is \(1/2^3 = 1/8,\) and the probability of not getting three consecutive tails in a row is 1 - 1/8 = 7/8.

Thus, the probability distribution of X(i) is a Bernoulli distribution with parameter p = 1/8.

Therefore, we have:

E[X(i)] = 1 * P(X(i) = 1) + 0 * P(X(i) = 0)

= 1 * (1/8) + 0 * (7/8)

= 1/8.

Substituting this into our earlier formula, we get:

E[X] = E[X(1)] + E[X(2)] + ... + E[X(10)]

= 10 * (1/8)

= 5/4.

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The volume of a rectangular prism is lwh unit cube.

A rectangular prism can be defined as a 3-dimensional solid shape that has 6 faces, with its base as rectangles.

The volume of a rectangular prism is given by, the product of its dimensions.

Let us consider length, width and height of the rectangular prism be l, w, h respectively,

Then, the volume will be = length x width x height

= l x w x h

= lwh

And its unit will be unit cube because there are 3 dimensions in the prism which are being multiplied.

Hence, the volume of a rectangular prism is lwh unit cube.

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Answer: systemic

Step-by-step explanation:

Answer:

38 deg

Step-by-step explanation:

The measures of complementary angles have a sum of 90 deg.

x + 52 = 90

x = 38

Answer: 38 deg

Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

The equation of the table of values is y = 0.36x - 0.42

The value of x if y is about 23 is about 65

The nearest value of y when x is 10 is 3

Given the table of values of x and y

x  4  5  6  7  8

y  1.24  1.38  1.41  1.76  2.84

Next, we enter the above values in a graphing tool (desmos)

From the tool, we have the equation to be

y = 0.36x - 0.42

This means that

y ≈ 23

So, we have

0.36x - 0.42 ≈ 23

This gives

0.36x ≈ 23.42

Divide by 0.36

x ≈ 65

This means that

x = 10

So, we have

y = 0.36(10) - 0.42

Evaluate

y = 3.18

Approximate

y = 3

So, the nearest value is 3

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The probability that the first employee selected is from the accounting department and the second employee selected is from the administrative department, without replacement, is (10/30) * (8/29) = 0.091954.

To calculate the probability, we need to consider the number of employees in each department and the total number of employees. In this case, there are 10 employees in the accounting department out of a total of 30 employees. Therefore, the probability of selecting an employee from the accounting department as the first employee is 10/30. After the first employee is selected, there are 29 employees remaining, and 8 of them are from the administrative department. So, the probability of selecting an employee from the administrative department as the second employee, given that the first employee is from the accounting department, is 8/29. To calculate the overall probability, we multiply the probabilities of the individual selections.

The probability that the first employee selected is from the administrative department and the second employee selected is from the marketing department, without replacement, is (8/30) * (12/29) = 0.089655.

Similar to the previous scenario, we consider the number of employees in each department and the total number of employees. There are 8 employees in the administrative department out of a total of 30 employees. Therefore, the probability of selecting an employee from the administrative department as the first employee is 8/30. After the first employee is selected, there are 29 employees remaining, and 12 of them are from the marketing department. So, the probability of selecting an employee from the marketing department as the second employee, given that the first employee is from the administrative department, is 12/29. To calculate the overall probability, we multiply the probabilities of the individual selections.

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Answer:

2=x

Step-by-step explanation:

x+5=⅔x

x+5-3=2x/3-3

x+2=2x

x-x+2=2x-x

2=x

\(\longrightarrow{\green{x\:=\:-15}}\) 

Step-by-step explanation:

\(x + 5 = \frac{2x}{ 3} \\ \\⇝3 \: (x + 5) = 2x \\ \\⇝3x + 15 = 2x \\ \\⇝3x - 2x = - 15\\ \\ ⇝x = - 15\)

To verify:

\(x + 5 = \frac{2x}{3} \\ \\⇝ - 15 + 5 = \frac{2 \times ( - 15)}{3} \\ \\⇝ - 10= \frac{ - 30}{3} \\ \\⇝ - 10 = - 10 \\ \\⇝L.H.S.=R. H. S\)

\(\boxed{Hence\:verified.}\)

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}\)

Mean 9.86, Median 9.8. The mean is calculated by adding up all the values and dividing by the total number of values. In this case, (9.8 + 9.9 + 9.5 + 10.1 + 10) / 5 = 9.86.

The median is the middle value when the data is arranged in ascending order. Arranging the data in ascending order, we have 9.5, 9.8, 9.9, 10, 10.1. The middle value is 9.8. To find the mean of the data, we add up all the values and divide by the total number of values. In this case, we add 9.8 + 9.9 + 9.5 + 10.1 + 10, which equals 49.3. Since there are 5 values in total, we divide 49.3 by 5 to get the mean: 49.3 / 5 = 9.86. The median is the middle value when the data is arranged in ascending order. To find the median, we arrange the data in ascending order: 9.5, 9.8, 9.9, 10, 10.1. Since there are 5 values, the middle value will be the third value, which is 9.8. Therefore, the median is 9.8. Hence, the mean of the data is 9.86 and the median is 9.8.The mean is a measure of the average, which gives us an idea of the central tendency of the data. It is calculated by summing up all the values and dividing by the total number of values. In this case, the mean time for the top five 100-meter dashes is 9.86 seconds.

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That the equation of the line is y = 7x - 50.

The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).

In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.

Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).

Simplifying, we find that the equation of the line is y = 7x - 50.

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Answer:

64,000,000

Step-by-step explanation:

400k x 16 = 64m

k = thousand

m = million

for those who are confused

Answer:

1/8 of the pizza

Step-by-step explanation:

whole pizza=1

5/8 is gone so 1-5/8=8/8-5/8=3/8

3/8-1/4 = 3/8-2/8=1/8

hope this helps

Answer:

365698

Step-by-step explanation:

\(300000(1+0.02)^{10} \approx 365698\)

Answer;

WUV = 36

Explanation:

Here is what we get when we draw the figures

Now we know that the sum of the interior angles of a triangle must equal 180 degrees; therefore,

Also, angle y and VWX are supplementary; therefore,

Now, solving for y in the above gives

Putting this value of y in the first equation gives

Expanding and simplifying the left-hand side gives

Subtracting 214 from both sides gives

Finally, dividing both sides by -3 gives

With the value of x in hand, we now find the measurement of WUV:

Hence, WUV = 36,

There are 17,640 different 8-digit numbers that can be obtained by permuting the digits in the number 70,440,704.

Since the first digit cannot be zero, we have 7 options for the first digit.

For the second digit, we have 7 remaining options, and for the third digit, we have 6 remaining options, and so on.

Therefore, the total number of different 8-digit numbers that can be obtained by permuting the digits in the number 70,440,704 is:

7 x 7 x 6 x 5 x 4 x 3 x 2 = 17,640.

Permuting refers to rearranging the order of a set of elements. In mathematics, permutations are used to calculate the number of ways in which a set of objects can be rearranged or ordered.

A permutation is a one-to-one mapping of a set to itself, where the order of the elements in the set is changed.

The number of permutations of a set with n elements is given by n!, which is the product of all the integers from 1 to n. For example, the set {1, 2, 3} has 3! = 6 permutations: {1, 2, 3}, {1, 3, 2}, {2, 1, 3}, {2, 3, 1}, {3, 1, 2}, and {3, 2, 1}.

Permutations are used in many areas of mathematics, including combinatorics, group theory, and abstract algebra, as well as in computer science and coding theory.

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The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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The volume of the block is increasing at a rate of \(6 ft^3/hour\) at this time.

Space in three dimensions is quantified by volume. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.  

The area occupied inside an object's three-dimensional bounds is referred to as its volume. The item's capacity is another name for it. A three-dimensional object's volume, which is expressed in cubic metres, is the quantity of space it takes up.

Let's start by finding the formula for the volume of a cube with side length s:

V = \(s^3\)

Now, let's differentiate both sides with respect to time (t):

dV/dt = \(3s^2(ds/dt)\)

We know that ds/dt = 2 ft/hour, and when s = 1 ft, we have:

dV/dt = \(3(1^2)(2) = 6 ft^3/hour\)

Therefore, the volume of the block is increasing at a rate of \(6 ft^3/hour\) at this time.

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The area of the rectangle is 104 square units.

Here, we are given one of the sides of a square is increased by 5 units to form a rectangle. The area of the original square is given to be 64 square units.

We know that area of square = side × side

⇒ \(side^{2}\) = 64

side = \(\sqrt{64}\)

side = 8

Thus, the original square was 8 by 8 units long.

Now, one of the sides is increased by 8 units ⇒ 8 + 5

= 13 units

Thus, the two sides of the square are 13 and 8.

Now, area of rectangle = length × breadth

⇒ area = 13 × 8

= 104

Thus, the area of the rectangle is 104 square units.

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The possible outcomes in the sample space of this experiment are

{(h,1),,(h,2),(h,3),(h,4),(h,5),(h,6),(t,1),(t,2),(t,3),(t,4),(t,5),(t,6)}

Jo flips a coin sample space for a coin = {h, t}

and rolls a 6-sided die sample space for a die = {1,2,3,4,5,6}

at a time coin is tossed and the die is rolled

the possible outcomes in the sample space of this experiment are

{(h,1),,(h,2),(h,3),(h,4),(h,5),(h,6),(t,1),(t,2),(t,3),(t,4),(t,5),(t,6)}

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The length of hair bows will be 3/4 yards.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Raynesha makes hair bows.

And, She has 3 pieces of fabric that are 1/4 of a yard in length each.

Now,

Length of each fabric = 1/4

Number of pieces of fabric = 3

Hence,

The length of hair bows = 3 × 1/4

                                     = 3 / 4

Thus, The length of hair bows will be 3/4 yards.

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Jane needs to walk at the same speed as John, which is 1.50 m/s, to arrive at the endpoint just when John does.

(a) To find the magnitude of John's displacement, we can use the Pythagorean theorem. The distance he walks north and east form the legs of a right triangle, and his displacement is the hypotenuse. Therefore:

displacement = √(1.00 km)^2 + (1.00 km)^2

= √(2.00 km)^2

= 2.00 km

Note that we must convert the distances to the same units before taking the square root.

(b) Jane needs to walk the same distance as John in the same amount of time to arrive at the endpoint just when John does. Since John walks a total distance of 2.00 km at a speed of 1.50 m/s, he takes:

time = distance / speed

= 2.00 km / 1.50 m/s

= 1333.33 s

Therefore, Jane needs to walk the same distance of 2.00 km in the same time of 1333.33 s. Her speed can be found from:

speed = distance / time

= 2.00 km / 1333.33 s

= 1.50 m/s

Therefore, Jane needs to walk at the same speed as John, which is 1.50 m/s, to arrive at the endpoint just when John does.

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Answer:

18 dollars

Step-by-step explanation:

well my teacher tought me to use something called a proportian box when you multiply the 60 * 210 equals 600 divided by 100 equals that 6 dollars of the interest then you multiply by 3 months with gives you 18 dollars in total

hope this helps

Answer:

A

Step-by-step explanation:

I hope this helps you out!

Answer:

6.24

Step-by-step explanation:

Find the longest side of a parallelogram.

Perimeter of parallelogram = 2 ( a + b )

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

Answer:

Step-by-step explanation:

y=-3x

I could be wrong, but I hope it helps at

Answer: G. -9

Step-by-step explanation: -27/3 = -9

Answer:

first option in ecad

Step-by-step explanation:

Answer:

I would say (D) because if x = infinity, then infinity/infinity would be 1

Step-by-step explanation:

Answer:

2,000,000

Step-by-step explanation:

2 million

Answer:

The answer to 200 x 10,000 is 2,000,000