Which Figure is a rotation of the Blue Figure?
A
B
C
D

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Greetings from Brasil...

As said:

1° angle: X

2° angle: 2X

3° angle: 20 + 5X

"...The sum of the measures of the angles of a triangle is 180 degrees..."

(1° angle) + (2° angle) + (3° angle) = 180

X + 2X + (20 + 5X) = 180

X + 2X + 5X = 180 - 20

8X = 160

X = 160/8

X = 20

But the problem asks for the value of each angle. Thus

1° angle: X

as X = 20, so

1° angle: X = 20

2° angle: 2X

as X = 20, so

2° angle: 2.20 = 40

3° angle: 20 + 5X

as X = 20, so

3° angle: 20 + 5.20 = 20 + 100 = 120

The values of the first, second, and third angles are 20°, 40° and 120° respectively.

Let the first angle = x

Let the second angle = 2 × x = 2x

Let the third angle = 20 + (5 × x) = 20+5x

Total angles in the triangle = 180°

Based on the information above, the angles will be calculated thus:

x + 2x + 5x + 20 = 180

Collect like terms

8x = 180 - 20

8x = 160

x = 160/8

x = 20

First angle = 20°

Second angle = 2x = 2 × 20° = 40°

Third angle = 5x + 20 = (5 × 20°) + 20° = 120°

The angles are 20°, 40°, and 120°

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Answer:

\(Mean = 9.3\)

Step-by-step explanation:

Given

Let accidents reported be represented by x and the frequency be represented by f

x -----   f

0-5 --   9

6-10 --  10

11-15 --   6

16-20 -- 6

Required

Calculate the Mean;

To calculate the mean of a grouped data, the first step is to calculate the midpoint of the observation;

When x = 0 - 5

Midpoint = 0.5(0 + 5) = 0.5 * 5 = 2.5

When x = 6 - 10

Midpoint = 0.5(6 + 10) = 0.5 * 16 = 8

When x = 11 - 15

Midpoint = 0.5(11 + 15) = 0.5 * 26 = 13

When x = 16 - 20

Midpoint = 0.5(16 + 20) = 0.5 * 36 = 18.

So, the new table is as follows;

x ------- f

2.5 ----  9

8 -----  10

13 ------ 6

18 ------ 6

Mean is calculated by ∑fx/∑f

Where ∑fx represent sum of the product of f and x

∑f represent sum of frequency

∑fx = 2.5 * 9 + 8 * 10 + 13 * 6 + 18 * 6

∑fx = 288.5

∑f = 9 + 10 + 6 + 6

∑f = 31

So,

\(Mean =\frac{288.5}{31}\)

\(Mean = 9.3064516129\)

\(Mean = 9.3 (Approximated)\)

Hence, the mean of road accidents in December is 9.3

The probability of getting at least 8 heads, assuming a binomial distribution with n = 10 and p(heads) = 0.30, is approximately 0.2338.

To find the probability of getting at least 8 heads in a binomial distribution with n = 10 and p(heads) = 0.30, we can calculate the probability of getting exactly 8, 9, and 10 heads and then sum them up.

Let's start by calculating the probability of getting exactly 8 heads:

P(X = 8) = C(10, 8) * (0.30)^8 * (0.70)^2

Where C(10, 8) represents the number of ways to choose 8 successes out of 10 trials, and (0.30)^8 * (0.70)^2 represents the probability of getting 8 heads and 2 tails.

Using the combination formula, C(10, 8) = 10! / (8! * (10 - 8)!), we can simplify the expression:

P(X = 8) = 45 * (0.30)^8 * (0.70)^2

Similarly, we can calculate the probability of getting exactly 9 heads:

P(X = 9) = C(10, 9) * (0.30)^9 * (0.70)^1

Using the combination formula, C(10, 9) = 10! / (9! * (10 - 9)!), we have:

P(X = 9) = 10 * (0.30)^9 * (0.70)^1

Lastly, the probability of getting exactly 10 heads:

P(X = 10) = C(10, 10) * (0.30)^10 * (0.70)^0

Using the combination formula, C(10, 10) = 10! / (10! * (10 - 10)!), which simplifies to 1:

P(X = 10) = 1 * (0.30)^10 * (0.70)^0

Now, to find the probability of getting at least 8 heads, we add the probabilities of these three cases:

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

Calculating the values for P(X = 8), P(X = 9), and P(X = 10) using the given values, we can find the probability of getting at least 8 heads.

Please note that the final value would depend on the calculations, and you can perform them to obtain the exact probability.

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Answer:

3°

Step-by-step explanation:

33 +19x = 90     subtract 33 from both sides of the equation

19x = 57             divide both sides by 19

x = 3°

Answer:

c√a^b the first option is the correct one

Answer:

Step-by-step explanation:

I can barley see if it's adding or multiplying but if its adding then the answer is 1.

Answer:

Step-by-step explanation:

Yeah I think maybe it's addition but 1 would be correct. If it's multiplying though, the answer would be 4/25 or 0.16.

Answer:

Step-by-step explanation:

As we know that cos(a) =  1 / sec(a)

cos(a)  =  1/25.2

           = 10/252

           = 0.0396

\( \huge \purple{\tt{Answer:}} \)

\( \sf{\sqrt{36}} = \sf{6} \)

Answer:

√36=6

Step-by-step explanation:

it's can also be understood by 6×6=36

The expression that is an element of AxBxB is (1,2,3)

The given data is A= (a, b}, B = {1,2,3}

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. If both A and B are square matrices of the same order, then both AB and BA are defined.

\(& \ A \times B=\left\{\begin{array}{c}(a, 1),(a, 2),(a, 3),(b, 1) \\(b, 2),(b, 3)\end{array}\right. \\\)

\(& A \times B \times B=\left\{\begin{array}{l}(a, 1,1),(a, 1,2),(a, 1,3), \\(a, 2,1),(a, 2,2),(a, 2,3),\end{array}\right. \\& (a, 3,1),(a, 3,2),(a, 3,3) \\ & (b, 1,1),(b, 1,2),(b, 1,3) \\& \left.\begin{array}{l}(b, 2,1),(b, 2,2),(b, 2,3) \\(b, 3,1),(b, 2),(b, 3,3)\end{array}\right\} \\\)

\(& \therefore(b, 2,3) \in D \times B \times B \\\\& (a, a, 1) \notin A \times B \times B \\\\& \left(b, 2^2\right) \quad \forall A \times B \times B \\\\& (2,1,1) \notin A \times B \times B \\\\&=(b, 2,3) \in \cap \times B \times B \\&\end{aligned}\)

The union of two sets X and Y is equal to the set of elements that are present in set X, in set Y, or in both the sets X and Y.

The intersection of sets can be denoted using the symbol ‘∩’. As defined above, the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.

Therefore, the expression that is an element of AxBxB is (1,2,3).

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The midpoint of the given line GO is 0.

We need to find the coordinate of the midpoint GO.

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Now, the midpoint of line GO is (-4+4)/2

=0/2

=0

So, the coordinate of the midpoint GO is (0, 0)

Therefore, the midpoint of the given line GO is 0.

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Answer:

The time it takes to hit a target that is 3 feet above ground is approximately 0.35 seconds

Step-by-step explanation:

The given parameters are;

The height of the arrow above the ground = 5 ft.

The height of the target above the ground = 3 ft.

The time it takes the arrow to fall to 3 ft. from 5 ft. above the ground is given by the free fall formula, since the arrow has no vertical velocity component

The equation for free fall is h = 1/2·g·t²

Where;

h = The height of fall = 5 - 3 = 2 feet

g = The acceleration due to gravity = 32.17405 ft/s²

t = How long it takes to fall (to its target)

∴ 2 = 1/2 × 32.17405 × t²

t² = 2/(1/2 × 32.17405) ≈ 0.1243

t = √0.1243 ≈ 0.353

t = 0.35 seconds, to the nearest hundredth

Therefore, the time it takes to fall 2 ft to hit a target that is 3 feet above ground = 0.35 seconds.

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds

The height of a parabola is calculated as:

\(\mathbf{h = \frac{1}{2}gt^2}\)

Where:

\(\mathbf{h =5 - 3 = 2}\) --- the difference between the height of the arrow and the height of the target.

\(\mathbf{g = 32.2 fts^{-2}}\) --- acceleration due to gravity

So, we have:

\(\mathbf{2 = \frac{1}{2} \times 32.2 \times t^2}\)

Multiply both sides by 2

\(\mathbf{4 = 32.2 \times t^2}\)

Divide both sides by 32.2

\(\mathbf{0.124 = t^2}\)

Take square roots

\(\mathbf{0.35 = t}\)

Rewrite as:

\(\mathbf{t = 0.35s}\)

Hence, the time to hit the target is 0.35 seconds

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Answer:

yeah I can do that for you

The correct is option c) meridian. The measures of central tendency are used to describe the middle or typical value of a dataset. Mean, median, and mode are the most common measures of central tendency.

Mean is the arithmetic average of a set of values, median is the middle value in a set of values, and mode is the most frequently occurring value in a set of values. These measures are used to summarize the characteristics of a dataset in a single value. On the other hand, the term "meridian" does not refer to a measure of central tendency. It is a term used in geography and navigation to refer to a line of longitude on a map or globe.

In conclusion, meridian is not a measure of central tendency, and mean, median, and mode are commonly used measures of central tendency in statistics.

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Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

From this proportion of days he does the activities, sometimes they will meet in one day.

He will do both in the same day when the day is a common factor of 3 and 4.

Since today he did both, the next time he will do so will be in the least common factor of 3 and 4.

To get the least common factor of these, we can identify the divisors of each and makes the divisions until both get to 1. If one of the divisiors is divisior for both, we don't repeat it.

So, from 3 and 4, we can start by the divisior of 2. 2 Is a divisior of 4, but not of 3, so we divide only the number for:

3, 4 | 2

3, 2 |

Now, we have 3 and 2, so we can divide for 2 again:

3, 4 | 2

3, 2 | 2

3, 1 |

Now, we have 3 and 1, so we can only divide by 3 now:

3, 4 | 2

3, 2 | 2

3, 1 | 3

1 , 1 |

So, in the end we have 2, 2 and 3, so the least common factor is 2*2*3 = 12.

Since the common factor of 3 and 4 is 12, Tyler will lift and jog on the same day 12 days after today.

Thus, Brian's average speed for the whole journey from Ashton to Oldham is 34.29 mph.

Average, also known as mean, is a measure of central tendency in statistics that represents the typical value of a set of numbers. It is calculated by adding up all the numbers in the set and then dividing the sum by the total number of values in the set. For example, if you want to

Given by the question.

To calculate the average speed of Brian's whole journey, we need to use the formula:

average speed = total distance ÷ total time

We know the distance between Ashton and Lees is 12 miles, and we also know the speed at which Brian drove this part of the journey: 40 mph. Using the formula:

time taken = distance ÷ speed

we can calculate that it took Brian:

time taken from Ashton to Lees = 12 miles ÷ 40 mph = 0.3 hours

We also know the distance between Lees and Oldham is 12 miles, and the speed at which Brian drove this part of the journey: 30 mph. Again using the formula:

time taken from Lees to Oldham = 12 miles ÷ 30 mph = 0.4 hours

So, the total distance Brian covered from Ashton to Oldham is:

total distance = distance from Ashton to Lees + distance from Lees to Oldham

total distance = 12 miles + 12 miles = 24 miles

The total time Brian spent on the journey is:

total time = time taken from Ashton to Lees + time taken from Lees to Oldham

total time = 0.3 hours + 0.4 hours = 0.7 hours

Now we can use the formula for average speed:

average speed = total distance ÷ total time

average speed = 24 miles ÷ 0.7 hours

average speed = 34.29 mph

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To solve the system of equations using substitution we replace the value of y from the first equation into the second equation to find the value of x.

solve the equation for x

using the value of x in either equation find the value of y

The solution for the system of equations is:

X= -1,5

y= 0.75

Step-by-step explanation:

12x > 9(2x - 3) - 15

12x > 18x - 27 - 15

12x > 18x - 42

42 > 6x

7 > x

so, this is true for all values < 7

so, x is in (-infinity, 7)

both ends but included - therefore the round brackets.

Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

Answer: -12x^2y - 2x^2+4x

Answer:

8.192x10^-5     or   32/5^8

Step-by-step explanation:

Answer:

the answer is 32/390625

Step-by-step explanation:

the decimal form is 8.192*10^-5

The total sum of money is 77 dollars .

Let the total sum of money be x .

⇒ Aziz's share = 4x / 11

   Ahmad's share = 7x / 11

Given : Aziz received 21 dollars less than Ahmad

⇒ 4x / 11 = ( 7x / 11 ) - 21

Solving the above linear equation in one variable ,

( 7x - 4x ) / 11 = 21                      ( taking like terms together )

3x = 21 * 11

x = 7 * 11

x = 77

Aziz's share = ( 4 / 11 ) * 77 = 28

Ahmad's share = ( 7 / 11 ) * 77 = 49

Total Sum of money = 28 + 49 = 77 dollars .

Hence , the total sum of money = 77 dollars .

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Answer:

The price of one adult ticket is $11 and the price of one student ticket is $6.

Step-by-step explanation:

We can write a system of equations to represent the situation. Let a represent the price of adult tickets sold and s represent the price of student tickets.

On the first day, nine adult tickets and 12 student tickets were sold for a total of $171. Hence:

\(\displaystyle 9a + 12s = 171\)

And on the second day, 13 adult tickets and 14 student tickets were sold for a total of $227. Hence:

\(\displaystyle 13a + 14s = 227\)

This yields a system of equations:

\(\displaystyle \left\{ \begin{array}{l} 9a + 12s = 171 \\ 13a + 14s = 227\end{array}\)

We can solve using elimination. Note that the LCM of 12 and 14 is 84. Hence, we can multiply the first equation by -7 and the second by 6:

\(\displaystyle \left\{ \begin{array}{l} -63a + 84s = -1197 \\ 78a + 84s = 1362\end{array}\)

Adding the two equations together now produces:

\(\displaystyle \begin{aligned} (-63a + 84s) + (78a + 84s) &= (-1197) + (1362) \\ 15a &= 165 \\ a&=11\end{aligned}\)

Therefore, the price of one adult ticket is $11.

To find the price of one student ticket, use either one of the original equations:

\(\displaystyle \begin{aligned} 9a + 12s &= 171 \\ 9(11) + 12s &= 171 \\ 99 + 12s &= 171 \\ 12s &= 72 \\ s &= 6 \end{aligned}\)

In conclusion, the price of one adult ticket is $11 and the price of one student ticket is $6.

Answer: The value of x from the diagram is 50 degrees.

Vertical angles are angles that meets at a point of intersection. From the given diagram 150 and 50+2x are vertical angles showing that they are equal to each other so:

50 + 2x = 150

2x = 150 - 50

2x = 100

Divide both sides by 2

2x/2 = 100/2

x = 50

Therefore the value of x from the diagram is 50 degrees.

Answer:

x = 50

Step-by-step explanation:

150 = 50 + 2x

100 = 2x

x = 50

To find the average rate of change of a function over an interval, we need to calculate the difference in the function values at the endpoints of the interval and divide by the length of the interval. In this case, we are given the function h(x) = 3(2)^x and the interval 1 ≤ x ≤ 5.

First, we need to find the values of h(1) and h(5):

h(1) = 3(2)^1 = 6
h(5) = 3(2)^5 = 96

Next, we calculate the difference in these values:

96 - 6 = 90

Finally, we divide by the length of the interval:

5 - 1 = 4

The average rate of change of h(x) over the interval 1 ≤ x ≤ 5 is:

90/4 = 22.5

Therefore, the average rate of change of h(x) is 22.5. This means that, on average, the function h(x) increases by 22.5 units for every 1 unit increase in x over the interval 1 ≤ x ≤ 5.

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1) The XED is -1, indicating that the products are substitutes.
2) If a consumer is severely addicted to a product, the demand for that product is likely to be inelastic.

The cross-price elasticity of demand (XED) measures the responsiveness of the demand for one product to a change in the price of another product. To calculate XED, we need the percentage change in the quantity demanded of one product divided by the percentage change in the price of another product.

In this case, the firm increased the price of a product by 30% and observed a 30% decrease in demand for that product. To calculate the XED, we divide the percentage change in demand (-30%) by the percentage change in price (+30%):

XED = (-30%)/(+30%) = -1

Since the XED is negative (-1), we can conclude that the two products are substitutes. When the price of one product increases, the demand for the other product decreases. In this scenario, a 30% increase in price leads to a 30% decrease in demand, indicating a strong substitution effect.

Regarding the second part of your question, if a consumer is severely addicted to a product, the demand for that product is likely to be inelastic. This means that even if the price of the product increases, the demand may not significantly decrease because the consumer's addiction overrides the price sensitivity. In other words, the consumer is willing to pay a higher price to satisfy their addiction.

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Answer:

a is correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because -4 4/5 is FAR below 4 2/5

Step-by-step explanation:

How many cups of milk are in a gallon = 16

If a recipe uses 2 cups for 6 servings, then he will make 48 servings from a gallon.

1 quart is 4 cups of milk, a gallon contains 4 quarts

1 pint is 2cups, a gallon contains 8pints of milk

From the question 1 gallon is 4 quarts or 8pints or 48servings

The row for 20 degrees and the row for 70 degrees in the right triangle table have the same values, but in reverse order.

Specifically, the sine, cosine, and tangent of 20 degrees are the same as the cosine, sine, and tangent of 70 degrees, respectively. The same holds true for their reciprocals, the cosecant, secant, and cotangent.

It should be noted that to complete the row for 35 degrees in the right triangle table, we can use the same ratios as for the complementary angle of 55 degrees, but in reverse order. Specifically:

The adjacent leg ÷ hypotenuse ratio for 35 degrees is equal to the opposite leg ÷ hypotenuse ratio for 55 degrees, which is 0.819.

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