Use the cross products property to solve the proportion.9/10=d/6.4

To derive the distribution of W, we need to find the cumulative distribution function (CDF) of W, F_W(w), and then find its probability density function (PDF), f_W(w).

a) The distribution of the random variable W = Y^2:

The cumulative distribution function (CDF) of W is given by F_W(w) = P(W <= w), where W is the random variable defined as W = Y^2.

Since Y has a uniform distribution on the interval (0,1), its CDF is given by:

F_Y(y) = 0, for y < 0.

= y, for 0 <= y <= 1.

= 1, for y > 1.

Therefore, the CDF of W = Y^2 is:

F_W(w) = P(Y^2 <= w)

= P(0 <= Y <= sqrt(w))

= F_Y(sqrt(w))

= sqrt(w), for 0 <= w <= 1.

= 1, for w > 1.

Thus, the CDF of W is a monotonically increasing function that maps the interval [0, 1] to [0, 1].

The probability density function (PDF) of W is given by f_W(w) = dF_W(w)/dw. The PDF of W can be found by differentiating the CDF:

f_W(w) = dF_W(w)/dw

= d(sqrt(w))/dw

= 1/(2*sqrt(w))

f_W(w) is defined only for 0 <= w <= 1.

b) The distribution of the random variable W = Y^(1/2):

The CDF of W = Y^(1/2) is given by F_W(w) = P(W <= w), where W is the random variable defined as W = Y^(1/2).

Using the same argument as in part (a), we have:

F_W(w) = P(Y^(1/2) <= w)

= P(0 <= Y <= w^2)

= F_Y(w^2)

= w^2, for 0 <= w <= 1.

= 1, for w > 1.

The PDF of W = Y^(1/2) can be found by differentiating the CDF:

f_W(w) = dF_W(w)/dw

= d(w^2)/dw

= 2w

f_W(w) is defined only for 0 <= w <= 1.

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Answer:

577.95

Step-by-step explanation:

find area of rectangle and then 2 triangles

15*33=495

8*15*1/2=60

3*15.3*1/2=22.95

22.95+60+495=577.95

The interest rate for Jo's 8-month, $6,650 bank loan was $70.14. The bank applied an 8.5% discount on the loan.

By divided the principal by interest rate, the duration of time, and other factors, simple interest be determined. Simple return means principal plus interest hours straight is the technique used in marketing. The quickest thing to compute interest if to use this method. The most popular way of calculating interest is as portion of the outstanding sum. For example, if he takes $100 from a buddy then agrees to repay the debt at 5% interest, he will only pay his portion of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you need to lend money when you lend it. Typically, interest is determined as an indicator of the overall of the loan total. The loan's interest is the term given to this percentage.

given

A = P(1 + r)ⁿ

A is the sum, P is the sum at the beginning, r is the interest rate, and n is the number of years.

Jo took out a four-month loan from a bank for 3,800. The bank applied a 5.5% discount to the loan.

The true interest rate is going to be

r = 5.5% / 12

r = 0.458%

When this happens, the money the bank gets is equivalent to what Jo paid in interest.

I = P(1 + r)ⁿ - P

I = 3800 (1 + 0.055/12)⁴ - 3800

I = $3870.14 - $3800

I = $70.14

The interest rate for Jo's 8-month, $6,650 bank loan was $70.14. The bank applied an 8.5% discount on the loan.

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The average velocity is 0.1 meters per second.

The displacement of a body during a period of time divided by the passage of time yields the average velocity of the body during that period. Therefore, if a particle travels along a specific displacement vector AB between times t₁ and t₂, its average speed is:

Here we have

At time t in seconds, a particle's distance s(t), in cm, from a point is given in the table.  

t     0    3     6    10     13

s(t)  0   72   92   144  180    

As we know

Average velocity = [ Total distance ]/[ Total time]    

From the given table,

The total distance traveled up to t = 10, = 144 - 72 = 72

As we know 100 cm = 1 meter

=>  72 cm = 72 × 1/100 = 0.72 m

The total time from t = 3 to t = 10, = 10 - 3 = 7  

Average distance = 0.72/7 = 0.10 meter per sec  

Therefore,

The average velocity is 0.1 meters per second.  

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The function is positive in the interval of (-∞, -1). Then the correct option is C.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The intersection point of the curve and x-axis is at (-1, 0).

Then the function is positive in the interval of (-∞, -1) and the the function is negative in the interval of (-1, ∞).

Thus, the correct option is C.

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The expression for the number of sundaes shop owner needs to sell in September is 3x.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, the ice cream shop owner wants to triple her sale of sundaes from August to September.

If the ice cream shop owner sold x sundaes in August, then she will sell

3×x=3x sundaes in September.

Therefore, number of sundaes shop owner sold in September is 3x.

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The domain of the given inequality is y>1.

What do you mean by inequality?

A fundamental idea in social justice theories is inequality, which is the state of not being equal, especially with regard to status, rights, and opportunities.

                              Due to the fact that it frequently has diverse meanings to different people, it can become confusing in public discourse. But there are some similarities as well.

y<√x+3+1

This equation is defined if

    x + 3 ≥ 0

     x ≥ -3

So, the domain of the given inequality is x>-3.

     √x+3 ≥ 0

     √x+3 + 1 ≥ 0 + 1

             y ≥ 1

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

So, the domain of the given inequality is y>1.

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Therefore, the annual simple interest rate charged by the pawnbroker is 5%

To determine simple interest, divide the balance by the cost of borrowing, the amount of time left, and other factors. Principal plus interest plus hours is the straightforward return strategy in marketing. The simplest approach to calculate interest is to use this method. The most popular method of calculating revenue is as a percent of the principal amount.

Here,

To find the annual simple interest rate, we need to use the formula:

Simple interest = Principal x Rate x Time

where Principal is the amount borrowed, Rate is the interest rate, and Time is the time period in years.

In this case, the Principal is $270, and the amount paid back is $276.75, which means the interest paid is:

Interest = Amount paid back - Principal = $276.75 - $270 = $6.75

The time period is 5/360 years, since there are 360 days in a year and Elisa had the loan for 5 days.

Plugging these values into the formula, we get:

$6.75 = $270 x Rate x 5/360

Solving for Rate, we get:

Rate = $6.75 / ($270 x 5/360) = 0.05 or 5%

Therefore, the annual simple interest rate charged by the pawnbroker is 5%

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Marshall's total cost number of calls made after 20 days of telemarketing is 1,430, which is the sum of the sequence of 24 calls made on the first day and 119 calls made on the twentieth day.

Marshall has a goal of making 24 calls on the first day of telemarketing and increasing the number of calls by 5 each day for 20 days. This creates an arithmetic sequence which increases by 5 each day. The formula for the sum of an arithmetic sequence is (n/2) × (a + l), where n is the number of terms in the sequence, a is the first term and l is the last term. In this case, n = 20, a = 24, and l = 119. Plugging these values into the formula yields (20/2) × (24+119)= 1,430. This means that Marshall's total number of calls made after 20 days of telemarketing is 1,430, which is the sum of the sequence of 24 calls made on the first day and 119 calls made on the twentieth day.

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The solution for the given system of equation is (x, y, z) is = (0 , (3-4t) , t) by Gaussian elimination method.

In the question ,it is given that the system of equations are ,

3x + 3y + 6z = 9

x + y + 2z = 3

2x + 5y + 10z = 15

-x + 2y + 4z = 6

we have to solve the equations for x, y , z.

writing the given equations in augmented matrix form , we get

[tex]\left[\begin{array}{ccc}3&3&6\\1&1&2\\2&5&10\\-1&2&4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}9\\3\\15\\6\\\end{array}\right][/tex]

Applying R₁ → 1/3R₁

[tex]\left[\begin{array}{ccc}1&1&2\\1&1&2\\2&5&10\\-1&2&4\\\end{array}\right][/tex] =[tex]\left[\begin{array}{ccc}3\\3\\15\\6\\\end{array}\right][/tex]

Apply R₂ → R₂ - R₁

[tex]\left[\begin{array}{ccc}1&1&2\\0&0&0\\2&5&10\\-1&2&4\\\end{array}\right][/tex]=[tex]\left[\begin{array}{ccc}3\\0\\15\\6\\\end{array}\right][/tex]

After applying more row operations in the above matrix ,to make the lower triangle matrix 0 ,we get ,

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&2\\0&0&0\\0&0&0\\\end{array}\right][/tex] =[tex]\left[\begin{array}{ccc}0\\3\\0\\0\\\end{array}\right][/tex]

The above result can be expressed as x = 0 and y + 2z = 3 .

So , the system of equations have infinite solutions .

So , the solution x, y, and z expressed in terms of the parameter t is

(0 , (3-2t) , t)  .

Therefore , the solution is (x, y, z) is = (0 , (3-2t) , t) .

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This question is incomplete. The complete question is

Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, and z in terms of the parameter t.)

3x + 3y + 6z = 9

x + y + 2z = 3

2x + 5y + 10z = 15

−x + 2y + 4z = 6

Answer:

(2c-b) / 2c

Step-by-step explanation:

b/6c + b/3c + y = 1,

Because these are fractions they must add up to 1.

Add and simplify,

(6bc + 3bc)/18c^2

b/2c + y = 1,

Make y the subject,

y = 1 - b/2c

y = (2c-b)/2c

Answer:

your answer is also the solve

Answer:

m + 3.4 kilograms.

Step-by-step explanation:

Let's call the mass of an average man's brain "m" kilograms.

According to the information given, the mass of an average elephant's brain is 3 4/10 kilograms greater than an average man's brain. This means that the mass of an average elephant's brain can be calculated as:

m + 3 4/10 = m + 3.4

So, the mass of an average elephant's brain is 3.4 kilograms greater than the mass of an average man's brain, which is m kilograms.

Therefore, the mass of an average elephant's brain is m + 3.4 kilograms.

Step-by-step explanation:

We would but there is no given information or numbers.

Answer:

Step-by-step explanation:

picture please

Answer:

3 dollars for

Step-by-step explanation:

The cost of a donut is $0.5.

The cost of donut holes is $0.041

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 6 is an equation.

We have,

x = cost of a donut

y = cost of donut holes

Cleo:

$25 to purchase 2 bags of donut holes and 4 dozen donuts.

This can be written as,

(2 x 12)y + (4 x 12)x = 25

24y + 48x = 25 ______(1)

Gavin:

$20 to buy 4 bags of donut holes and 3 dozen donuts.

This can be written as,

(4 x 12)y + (3 x 12)x = 20

48y + 36x = 20 ________(2)

Now,

From (1) and (2),

Multiplying 2 on (1).

48y + 96x = 50

48y + 36x = 20

(-)     (-)       (-)

        60x = 30

             x = 30/60 = 1/2 = 0.5

Now,

24y + 48x = 25

Substituting x = 1/2

24y + 48 x 1/2 = 25

24y + 24 = 25

24y = 25- 24

y = 1/24

y = 0.042

Thus,

$0.5 = cost of a donut

$0.042 = cost of donut holes

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The required sample covariance of the given sample is (C) -0.20.

The link between two random variables from the sample is measured using sample covariance, which uses a smaller sample of the population.

Working with huge populations, such as in long-term medical studies or stock investment tools, makes this statistic helpful.

So, the number of samples is:
n = 6

Then, the mean of x:

[tex]\begin{aligned}\bar{x} & =\frac{\sum x}{n} \\& =\frac{30}{6} \\& =5\end{aligned}[/tex]

The mean of y:
[tex]\begin{aligned}\bar{y} & =\frac{\sum y}{n} \\& =\frac{12}{6} \\& =2\end{aligned}[/tex]

The sample covariance:

[tex]{Cov}(x, y)=\frac{\sum\left(x_i-\bar{x}\right)\left(y_i-\bar{y}\right)}{n-1}\\\begin{aligned}& =\frac{-1}{5} \\& =-0.20\end{aligned}[/tex]

Therefore, the required sample covariance of the given sample is (C) -0.20.

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Correct question:

Consider the following data set: Variable 1: 5 3 5 5 4 8 Variable 2: 3 1 1 4 2 1

The sample covariance for this data set is ?

a). 2.30

b). -0.20

c). 0.65

d).-1.77

Answer: Let's call the number of percussionists on the sideline "x".

Since the ratio of percussionists to marching instruments is 2 to 13, for every 2 percussionists, there are 13 marching instruments.

So the total number of band members is 2x + 13x = 15x.

We know that the total number of band members is 150, so we can write an equation to solve for x:

15x = 150

Dividing both sides by 15:

x = 10

So there are 10 percussionists on the sideline.

Step-by-step explanation:

Answer:

I have to submit the BRAINLIEST

pls mark as brainliest

The required covariance between the variable and correlation coefficient are -2.8 and -0.38.

a. To calculate the covariance, we'll first find the mean of both variables, x and y:

mean of x = (11 + 13 + 27 + 22 + 30) / 5 = 20

mean of y = (28 + 26 + 25 + 20 + 16) / 5 = 22

Next, we'll find the deviations of each x and y value from their respective means:

x deviations: -9, -7, 7, 2, 10

y deviations: 6, 4, 3, -2, -6

Finally, we'll multiply the deviations of x and y for each pair of values and take the average of these products:

covariance = ( (-9 * 6) + (-7 * 4) + (7 * 3) + (2 * -2) + (10 * -6) ) / 5 = -2.8

So, the covariance between the variables x and y is -2.8.

b. To calculate the correlation coefficient, we'll divide the covariance by the standard deviation of x and y:

standard deviation of

x = [tex]\sqrt{\frac{(((11 - 20)^2 + (13 - 20)^2 + (27 - 20)^2 + (22 - 20)^2 + (30 - 20)^2)}{5} }[/tex] = 8.3666

standard deviation of

y = [tex]\sqrt{\frac{(((28 - 22)^2 + (26 - 22)^2 + (25 - 22)^2 + (20 - 22)^2 + (16 - 22)^2)}{5} }[/tex]= 3.87298

correlation coefficient = covariance / (standard deviation of x * standard deviation of y) = -2.8 / (8.3666 * 3.87298) = -0.381

So, the correlation coefficient between the variables x and y is -0.38.

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A repeating decimal like 0.222222222..... is a rational number and can be written as the fraction 2/9

A stopping decimal like 0.22 is a rational number and can be written as the fraction 22/100 or 11/50

A non-stopping and non-repeating decimal like 0.1234567891011... or 0.121121112... is an irrational number can not be written as the fraction

The square root of a perfect square is a rational number and also a whole number.

The square root of a imperfect square is an irrational number.

Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.

Given,

Fill in the blanks,

By the properties of irrational numbers,

Irrational numbers are non terminating and non-recurring decimal numbers and any square root that is not perfect root is irrational number.

Rational numbers the numbers that can be written as fraction.

Hence, rational, 2/9, 11/50, irrational, can not be written as fraction, perfect square and imperfect square are the words to fill in the blanks.

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Answer:

1

Step-by-step explanation:

Anything to the 0 power is 1

Answer:

x = (10.392)

y = 12

Step-by-step explanation:

Trigonometric Functions are special functions relating to the ratio of the sides of triangles. There are 6 primary ones known as sin, cos, tan, csc, sec, cot which all have definitions relating to the sides of a triangle.

We want to use one where it's defined using the adjacent side and opposite side since we know the adjacent side (the side 6) we just don't know the opposite side (the x side).

Luckily we have a function tan which is defined as: [tex]tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}[/tex]

We can plug in values we know: [tex]tan(60) = \frac{x}{6}[/tex] now just multiply both sides by 6 to solve for the x value: [tex]tan(60) * 6 = x[/tex] and then using a calculator we get approximately: ​10.392 and now from here we can use Pythagorean Theorem:

[tex](10.392)^2 + 6^2 = y^2\\\\107.994 + 36 = y^2\\\\143.994=y^2\\\\12=y[/tex]

Quantitative data is data that is measured on a naturally occurring numerical scale.

This can be seen in the data input as 1, 2, 3, 4, which can be meaningfully added, subtracted, multiplied, or divided. Qualitative data, on the other hand, is data that cannot be meaningfully added, subtracted, multiplied, or divided. The data set consisting of classifications AB, C, and D is qualitative because it can only be classified into categories and cannot be meaningfully added, subtracted, multiplied, or divided. To illustrate this further, let’s take an example. If the categories are colours (A = Red, B = Blue, C = Green, and D = Yellow), the data set AB, C, and D cannot be meaningfully added, subtracted, multiplied, or divided, and therefore is qualitative.

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Answer:uhhhh

Step-by-step explanation:

So yeah

Answer:

C

Step-by-step explanation:

(4x + 1) and 57 are vertically opposite angles and are congruent, so

4x + 1 = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

The lifeguard covered distance of 14 feet to save the victim. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

The four fundamental operations, also referred to as "arithmetic operations," are said by mathematicians to be able to describe all real numbers. The four mathematical operations of division, multiplication, addition, and subtraction result in the terms quotient, product, sum, and difference, respectively.

We are given that a life guard is sitting 8 feet on the observation chair and he notices someone struggling at 6 feet beneath the pool.

So, the total distance he travelled is 8 + 6 = 14 feet

Hence, the lifeguard covered distance of 14 feet to save the victim.

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Answer: B = 9 cm, C = 15 cm

Step-by-step explanation:

If the ratio of A to B to C is 2:3:5, we can write:

A = 2x

B = 3x

C = 5x

and all we have to do is solve for x.

Since we know A = 2x = 6, we have 2x = 6 and x = 3.

So for B we can plug in 3x = 3(3) = 9 cm

And for C we can plug in 5x = 5(3) = 15 cm

If you put these numbers in a ration, 6:9:15 and reduce as much as possible, you'll see you get 2:3:5.

Answer:

36 3/16

Step-by-step explanation:

63 1/2 -27 5/16

= 63 8/16 -27 5/16

= 36 3/16

Option B is the correct answer. which is 37 times greater.

The volume of the sphere is defined as a measure of space that can be occupied by a sphere.

The general formula for the volume of a sphere is given:

V=4/3πr³.

where r is the radius

and the value of π is 3.17

As per the question r= 10 for dodgeball and r= 3 for the soccer ball.

substitute the values in the above formula

V₁=4/3π(10)³ and V₂=4/3π(3)³

Now divide V₁/V₂.

V=4/3π(10)³/4/3π(3)³

V=(10)³/(3)³

V=1000/27

V=37.03

so the volume of the dodgeball is 37 times greater than that of the soccer ball.

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Full question:

There is a dodgeball with a radius of 10in, and a soccer ball with a radius of 3in. Find how many times greater the volume of the dodgeball is than that of the soccer ball Select one 37 times 3.33 times 11.1 times 30 times

Order of fractions from smallest to largest:

If sorted we first equate the denominator to 40.

21/40, 29/40, 34/40, 30/40, 32/40

So if sorted from smallest to largest, the order becomes:

21/40, 29/40, 3/4, 4/5, 17/20

If sorted we first equate the denominator to 35. it becomes:

40/35, 65/35, 84/35, 98/36, 37/35

So if sorted from smallest to largest, the order becomes:

37/35, 8/7, 13/7, 12/5, 14/5

If sorted we first equate the denominator to 30. it becomes:

20/30, 24/30, 12/30, 21/30, 27/30

So if sorted from smallest to largest, the order becomes:

2/5, 2/3, 7/10, 4/5, 9/10

If sorted we first equate the denominator to 30. it becomes:

126/30, 65/30, 125/30, 66/30, 39/30

So if sorted from smallest to largest, the order becomes:

13/10, 13/6, 11/5, 25/6, 21/5

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