In Exercise 6.1, we considered a random variable Y with probability density function given by f (y) = $ 2(1 y), 0 y 1, 0, elsewhere, and used the method of distribution functions to find the density functions of a U1 = 2Y 1. b U2 = 1 2Y . c U3 = Y 2. Use the method of transformation to find the densities of U1, U2, and U3.

Answer:

1: >

2: >

3: =

4: >

5: -2 3/4, -2.2, 3 1/8, 2.8

6: -.6, 4/5, .65, 2/3

Step-by-step explanation:

Answer: 12/4 or 3

Step-by-step explanation: Switch the numerator and denominator. This should leave you with the answer above.

Answer:

12/4 = 3/1 = 3

Step-by-step explanation:

To find the reciprocal of a fraction, flip it.

The reciprocal of 4/12 is 12/4 which reduces to 3.

Answer:

I had gotten 26ft to the power of 2 but I'm not fully sure.

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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slope = (y2-y1)/(x2-x1)

1- slope is undefined (Vertical line)

2- slope is 0 (horizontal line)

The line that contains an example of assonance is C. He fell asleep under the oak tree, feeling fine.

This refers to the similarity of sounds that can be found in nearby words in a sentence, between their vowels and/or consonants.

Furthermore, alliteration means the occurrence of similar words or sounds in a sentence at the beginning of closely connected words.

With this in mind:

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Answer:

$4.50

Step-by-step explanation:

because each avocado is .50 cents.

\(\mathfrak{ x ^ { 2 } + b x - 4 = 0} \)

\(\mathfrak{bx-4=-x^{2} } \)

\(\mathfrak{bx=-x^{2}+4 } \)

\(\mathfrak{xb=4-x^{2} } \)

\(\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } \)

\(\mathfrak{ b=\frac{4-x^{2}}{x} } \)

\(\mathfrak{b=-x+\frac{4}{x} } \)

AnSwEr

\(\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }\)

 ღ ꪑ꠸᥅ꫀꪊ

Each person received 1/4 gallon of water.

To determine how much water each person received, we can divide the total amount of water (3/4 gallon) equally among the three hikers.

Since there are three hikers, we need to divide the total amount of water by 3.

Dividing 3/4 gallon by 3, we perform the following calculation:

(3/4 gallon) ÷ 3 = (3/4 gallon) × (1/3) = (3/12) gallon

So, each person received 3/12 gallon of water.

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 3 in this case:

(3/12 gallon) ÷ 3/3 = (3/12) gallon × (1/3) / (1/3) = (1/4) gallon

Therefore, each person received 1/4 gallon of water.

As a decimal, 1/4 gallon is equal to 0.25 gallons.

Hence, each person received 0.25 gallons of water.

In conclusion, each person in the hiking group received 1/4 gallon or 0.25 gallons of water at the rest area.

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b. In this situation, you are dealing with I. future value of a single deposit investment, as you make a one-time deposit and determine its value in 5 years.

a. This scenario is an example of II. future value of a periodic deposit investment, as you are making regular quarterly deposits and calculating the future value after 4 years.

b. In this situation, you are dealing with I. future value of a single deposit investment, as you make a one-time deposit and determine its value in 5 years.

c. This case represents III. present value of a periodic deposit investment, as you are determining the amount to deposit monthly in order to reach a specific future value in 5 years.

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Answer:

To solve this question, we first have to know that we are trying to assemble

and solve equations with two variables: x

and y.

Assuming x

is the number of dimes and y

is the number of quarters, we

can assemble the equations.

since the number of dimes is 3 more than three times the number of quarters,

we get x=3y+3.

Additionally, multiplying the number of dimes by 0.1 and the number of

quarters by 0.25,

we get the total value of x

and y

which appears by this

equation 0.1x+0.25y=11.30

.

Substituting the value of x

in the second equation, we get 0.1(3y+3)+

0.25y=11.30

.

Solving this equation, we get that the value of x,

we get x=3×20+3=

Using the first equation to get the value of x,

we get x=3×20+3=

60+3=63

dimes.

Chapter 9

Math Models and Geometry

Section 2

Solve Money Applications

Prealgebra

Step-by-step explanation:

Answer:

Here we have the case where:

"one chip is eaten in 1/4 mins."

(that means unit rate, the amount of a given variable that we need to do a unit of another variable)

Then the unit rate would be:

4 chips per minute.

Or, in a more mathematical way to write this:

4 chips/min.

Now we could write this in other units, for example.

We know that 1 min = 60s.

Then we have that (1/4) min = 60s/4 = 15s.

Then we have the unit rate:

1 chip every 15 seconds, or:

(1/15) chips/second.

Now, the variable in this case is time, t  = time, let's multiply bot our unit rates by the same amount of time, and see if we have the same outcome.

Let's use t = 2 min.

1) (4chips/min)*2min = 8 chips.

2) ((1/15) chips/second)*2min

First, 2 min = 120 seconds.

((1/15) chips/second)*2min = ((1/15) chips/second)*120seconds = 8 chips.

So both unit rates are equivalent.

Answer:

a) $4,475.20

b) it would take approximately 0.846 years or approximately 10 months to pay off the loan.

Step-by-step explanation:

if we nevermind the deposit and repayment dates, since they are not relevant for this case, so we have only a loan for $800 to be repaid in 22 weeks, at 203.40 every other week, biweekly namely.

Now, we can also nevermind the biweekly part, 22 payments are 22 regardless if it's done daily or yearly or bimonthly or bidecade, 22 is just 22.

a)

22 payments at 203.4 is just (22)(203.4) = 4474.8.

b)

how long does that take?

well, hell the loaner doesn't give much choices, you pay it every other week 22 times, how many weeks is that? 22*2 = 44 weeks.

Since we know a year has 52 weeks, then 44 weeks is just 44/52 of a year, namely

\(\cfrac{44}{52}\implies \cfrac{11}{13} ~~ \approx ~~ \text{\LARGE 0.85}~years\)

Answer:

Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.

Step-by-step explanation:

dekh mujhe brainliest mark karde agar nahi kiya toh tujhe report kardunga

Answer:

An algebraic expression is a collection of numbers, variables, operations, and grouping symbols. You will translate an unknown number as the variable x or n. The grouping symbols are usually a set of parentheses, but they can also be sets of brackets or braces.

Answer:

9th min?

Step-by-step explanation:

lol sorry im set 4 maths

144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Radius of a spherical ball is increasing at a rate of 2 cm/min.

We need to find exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm

S = surface area at time t,  and r = radius at time t

r=9cm

dr/dt = 2 cm/min

S = 4πr²

Differentiate with respect to t

ds/dt=2.4πrdr/dt

=8πr(2)

=16πr

=16π(9cm)

=144π cm²/min

Hence 144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

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Answer:

m= -1

y intercept= 1

y= - x + 1

Step-by-step explanation:

Answer:

136.7

Step-by-step explanation:

729-182.20=546.8

546.8÷4=136.7

Answer:

$136.70

Step-by-step explanation:

First let's take $182.20 out of the $729

729 - 182.2 = 546.8

After the down payment, Hong has $546.80 remaining.

He wants it in 4 equal payments, so divide the remaining amount by 4

546.8 ÷ 4 = 136.7

He has to pay $136.70 each installment

Answer:

2 3/10

Step-by-step explanation:

9 9/10 - 7 3/5

Answer:

b

Step-by-step explanation:

you would subtract and get answer

The calculated measure of t from the given equation is 15 degrees

From the question, we have the following parameters that can be used in our computation:

10

to

25°

When expressed properly, we have

10° + t° = 25°

Evaluate the like terms

So, we have

t° = 15°

Hence, the value of t° is 25°

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Answer:

$14

26 + -5 + -2 + 1 + -6 = 14

9514 1404 393

Answer:

  (x, y) = (-4, -6)

Step-by-step explanation:

For graphing by hand, it can be convenient to put the equations in slope-intercept form. Multiplying the first equation by -2 gives ...

  y = -x -10

The second equation is already in slope-intercept form.

These equations tell you ...

  y = -x -10 . . . the slope is -1 and the y-intercept is -10. It goes up to the left from -10 on the y-axis

  y = 2x +2 . . . the slope is 2 and the y-intercept is 2. It goes down to the left from +2 on the y-axis.

The solution to the system is (-4, -6).

Answer:

i hope this helps but the slopes are y = 4/3x + 12 and y = 6/5

In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x

What do you mean by direct variation?

Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.

Given,

In a direct variation, y=9 when x=3.

Formulate an equation based on the conditions stated: y=kx

We put the value of the y and x in this equation

9=k*3

Subtract the coefficient of the variable from both sides of the equation

k= 3

We can write the equation of the function by putting the value of k:  y=3x

Hence the correct answer is y=3x

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Answer:

4

Step-by-step explanation:

1. plug in 9 to get 9*2-14

2. multiply 9 and 2 to get 18

3. subtract 14 from 18 to get 4

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

x is -7.5 or -14/2 or -7½

Step-by-step explanation:

- Supposing y varies directly with x

\( { \tt{y \: \alpha \: x}} \\ \: \: \: \: { \tt{y = kx}} \)

[k is a constant of proportionality (k ≠ 0)]

- When y is 6, x is -2

\( \: \: \: \: \: \: \: \: \: { \tt{6 = (k \times ^{ - }2) }} \\ { \tt{6 = - 2k}} \\ { \tt{k = - 3 \: \: }}\)

- Therefore, the equation is;

\({ \boxed{ \tt{y = - 2x}}}\)

- What is x when y is 15

\({ \tt{15 = - 2x}} \\ { \tt{x = - 7.5}}\)

The value of x is -5

The equation for a direct variation is y = kx, where k is the constant of variation. Since we know that y = 6 when x = -2, we can solve for k:

                                        k = y/x

                                        k = 6/-2

                                        k = -3

Therefore, the equation for this direct variation is y = -3x. To find x when y = 15, Substitute k = -3 and y = 15 into the equation

                                15 = -3x

Then solve x,

                       x = \(\frac{-15}{3}\)

                        x = -5

Therefore, when y = 15, x = -5.

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