x2 - 7x + 9 =0 please leave answer in surf form and simplify ​

The density function of √u, where u is uniformly distributed on [0,1], is f(v) = 2√v for 0 ≤ v ≤ 1.

To find the density function of √u, where u is uniformly distributed on the interval [0,1], we can use the transformation method.

Let's denote the random variable √u as v = √u. We want to find the probability density function (PDF) of v.

First, we find the cumulative distribution function (CDF) of v:

F(v) = P(v ≤ x) = P(√u ≤ x) = P(u ≤ x²) = x², for 0 ≤ x ≤ 1.

Next, we differentiate the CDF to obtain the PDF of v:

[tex]\begin{equation}f(v) = \frac{d}{dv} F(v) = \frac{d}{dv} (x^2) = 2x, \quad 0 \leq x \leq 1[/tex]

However, we need to express the PDF in terms of v, not x. Since v = √u, we can substitute x = √v into the PDF:

f(v) = 2√v, for 0 ≤ v ≤ 1.

Therefore, the density function of √u is f(v) = 2√v, for 0 ≤ v ≤ 1.

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Answer:

1/2

Step-by-step explanation:

it goes up 1 and over 2 every point

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

To calculate the amount you will repay and the annual interest rate charged by the loan company, we can follow these steps:

Step 1: Calculate the number of $500 increments for the loan amount:

Number of $500 increments = loan amount / $500

= $1,693 / $500

≈ 3.386

Since we can't have a fraction of an increment, we round up to 4.

Step 2: Calculate the daily payment:

Daily payment = 25 © * Number of $500 increments

= 25 © * 4

= $100

Step 3: Calculate the total repayment amount:

Total repayment amount = Daily payment * number of days

= $100 * 120

= $12,000

Step 4: Calculate the annual interest rate:

Annual interest rate = (Total repayment amount - Loan amount) / Loan amount * (360 / Number of days)

= ($12,000 - $1,693) / $1,693 * (360 / 120)

Now, let's perform the calculations:

Amount you repay ≈ $12,000

Annual interest rate ≈ (($12,000 - $1,693) / $1,693) * (360 / 120)

Calculating the annual interest rate:

Annual interest rate ≈ (($10,307) / $1,693) * 3

Rounding to four decimal places:

Annual interest rate ≈ (6.0905) * 3

≈ 18.2715

Therefore,

a) The amount you will repay is approximately $12,000.

b) The annual interest rate charged by the loan company is approximately 18.2715%.

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Answer:

The answer is B

Step-by-step explanation:

IF YOU ACUALLY DO THE MATH.....

100 x 5= 5000 so 800 times 5 is 4000.

4000 is less than 4500 so b is for a better price.

Answer:

A-50 sheets at a time for $600 =6000

Step-by-step explanation:

b 100 sheets at a time for $800=4000

c 250 sheets at a time for $2,500=5000

d 500 sheets at a time for $4,500=4500

Which is higher well A

Answer:

506.7 ft

Step-by-step explanation:

plug into the equation:  C = πr2

C = (π)(12.7)^2

Answer:79.8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

2.50x + 15.00 = 1.00x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

2.50(-10) + 15.00 = 1.00(-10)

-25 + 15.00 = -10

-10 = -10

Answer:

x = -10

Step-by-step explanation:

multiply both sides by 10:

2.50x*10+15*10=1.00x*10

Refine:

25x + 150 = 10x

Subtract 150 from both sides:

25x + 150 - 150 = 10x - 150

Simplify:

25x = 10x - 150

Subtract 10x from both sides:

25x - 10x = 10x - 150 - 10x

Simplify:

15x = -150

Divide both sides by 15:

15x/15 = -150/15

Simplify:

x = -10

Answer:

p=30 cm

Step-by-step explanation:

so the formula there is to find the perimeter of the rectangle so we are going to use that

Answer:

2.5%

2.2kg=2200g

[tex] \frac{x}{100} \times 2200 = 55 \\ 22x = 55 \\ x = 2.5\%[/tex]

(8,-5/2) or (8,-2.5)

(7,2) (9,-7)

9+7    -7+2

2         2

16     -5

2       2

(8, -5/2) or (8,-2.5)

Answer:

y = 2x - 2

Step-by-step explanation:

Step 1:

y = mx + b        Slope Intercept Form

Step 2:

y = 2x + b     Substitute Slope

Step 3:

- 4 = 2 ( - 1 ) + b     Substitute x and y

Step 4:

- 4 = - 2 + b     Multiply

Step 4:

- 2 = b      Add 2 on both sides

Answer:

y = 2x - 2

Hope This Helps :)

Answer:

d. 132

Step-by-step explanation:

x + wz

= 12 + 8(15)

= 132

A bar graph is used to represent categorical data, while a histogram is used to represent continuous data.

The appropriate graph for the frequency distribution of a group of patients in a weight loss program that ranges from 185 to 312 pounds would be a histogram. This is because a histogram is a graphical representation of a frequency distribution. It is used to represent the distribution of a set of continuous data. A histogram is a graph that shows the number of times that each value appears in a set of data by grouping the data into classes of equal size. The number of values that fall within each class is represented by the height of a bar on the graph. The area of each bar is proportional to the frequency of the class.The six age groups will be grouped into classes that have the same size interval. The number of patients that fall within each class interval will be represented on the vertical axis, while the class intervals will be represented on the horizontal axis. The bars of the histogram will be plotted at the midpoints of each class interval. The height of each bar will represent the frequency of the class interval. It is important to note that a histogram is not the same as a bar graph.

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Hi there.

Thanks for submitting your question.

b = 8

Set up equation: 2(8)^2

This is not the proper way to set up the equation.

Real equation: 2 x 8^2

Then, write the equation in exponential form with the base of 2.

2 x 2^6

Calculate the product.

2^7

2^7 = 128

Therefore our answer is 128.

Thanks for using Brainly.

- Tutor John

Answer:

fraction form is 7/50

Step-by-step explanation:

The experimental probability is 2/25, written as a fraction in simplest form.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required event / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the experimental probability that you are elected president and your friend is elected treasurer,

We need to count the number of times the digits 1, 2, or 3 appear in the tens place and the digits 1 or 2 appear in the ones place.

We can then divide this count by the total number of digits (50) to get the experimental probability.

From the table,

We see that the digits 1, 2, or 3 appear in the tens place 12 times, and the digits 1 or 2 appear in the ones place 19 times.

However, we are interested in the number of times both events occur together, so we need to count the number of times that the digit 1, 2, or 3 appears in the tens place and the digit 1 or 2 appears in the ones place.

We can see that this occurs 4 times (tens place: 1, ones place: 1, 2, 1, 2).

The experimental probability that you are elected president and your friend is elected treasurer is:

4/50 = 2/25

Thus,

The experimental probability is 2/25, written as a fraction in simplest form.

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Answer:

y = 9

Step-by-step explanation:

To solve this question we will use the property of perpendicular lines,

[tex]m_1\times m_2=-1[/tex]

Where [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of two lines perpendicular to each other.

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of a line which passes through the points A(4, 2) and B(-1, y) will be

[tex]m_1=\frac{y-2}{-1-4}[/tex]

     [tex]=-\frac{y-2}{5}[/tex]

Slope of the line given in the graph [passing through (2, 4) and (-5, -1)]

[tex]m_2=\frac{4+1}{2+5}[/tex]

[tex]m_2=\frac{5}{7}[/tex]

From the property of perpendicular lines,

[tex]\frac{-(y-2)}{5}\times \frac{5}{7}=-1[/tex]

[tex]\frac{5(y-2)}{35}=1[/tex]

5y - 10 = 35

5y = 45

y = 9

You found x, right?

Now, plug the value of x into either of the given equations to find y.

I found x to be 7 and y to be -1.

We can also express the answer as

(x, y) = (7, -1).

9514 1404 393

Answer:

  (x, y) = (6 8/11, -2 1/11)

Step-by-step explanation:

Add twice the second equation to the first:

  (3x +2y) +2(4x -y) = (16) +2(29)

  11x = 74 . . . . simplify

  x = 74/11 = 6 8/11

Substitute this into the second equation to find y.

  4(74/11) -y = 29

  (26 10/11) - 29 = y = -2 1/11

The solution is (x, y) = (6 8/11, -2 1/11).

Answer:

2.28 x 10^10

Step-by-step explanation:

(3.8 x 10^6) (6 x 10^3) do distributive property 3.8 to 6 and 10^6 to 10^3

22.8 x 10^9 since its 22.8 you have to make it in "once" place, therefore, move the decimal to the left and add the exponent "1"

2.28 x 10^10 is the answer

Answer:

f(x) = 3x2 – 18x + 24

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Answer:

$105.65

Step-by-step explanation:

828 / 25 = 33.12 gallons needed

33.12 x 3.19 = $105.65

Given parameters:

To solve this problem, we need follow it stepwisely.

Let the amount raised by Manny  = M

             amount raised by Ada  = A

Now, let us go through the problem sentence by sentence and interpret it algebraically;

Algebraically;

             M  = 2A - 7    ----- (I)

             M  = A + 45    ----- (II)

Now that we have established two equations we can equate them and solve for A;

             2A - 7 = A + 45

             2A - A  = 45 + 7

                 A  = 52

Ada raised $52 during the fundraiser event.

The ellipsoid is defined by the equation x2 + y2 + 5z2 = 100. This equation can be rewritten as (x/10)^2 + (y/10)^2 + (z/2)^2 = 1. This is the equation of an ellipsoid with semi-axes of length 10, 10, and 2.

The volume of an ellipsoid is given by the triple integral of 1 over the ellipsoid. The bounds for the integral are determined by the semi-axes of the ellipsoid. In this case, the bounds are 0 <= x <= 10, 0 <= y <= 10, and 0 <= z <= 2.

The integral simply gives the volume of the ellipsoid. In this case, the integral is equal to 10000.

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Answer:

t= 19/9

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

7 - 3x = 28

-3x = 21

x = -7

Best of Luck!

Bisection can occur an infinite number of times before there are no floating-point numbers in the interval (a,b).

Bisection refers to dividing an interval into two equal subintervals, as shown below:

First, divide the interval in half, and if the function changes sign over the interval, repeat the process with the subinterval that has the sign change until the endpoints are adjacent floating-point numbers.Thus, the interval [1,2] can be divided into two subintervals: [1,1.5] and [1.5,2]. Since both subintervals include floating-point numbers, we can bisect them again.

We now have four subintervals: [1,1.25], [1.25,1.5], [1.5,1.75], and [1.75,2]. All four subintervals include floating-point numbers, so we can bisect each of them. We now have eight subintervals, and all of them include floating-point numbers. We can continue this process indefinitely because there are an infinite number of floating-point numbers in the interval (1,2).

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Answer:

It could be a neuroscientist, psychologist, or psychiatrist who is conducting research, depending on if it is believed that the fear is part of Nature or Nurture.

Step-by-step explanation:

Answer:

$9.27

Step-by-step explanation:

Answer:

9.77$

Step-by-step explanation:

32 - 22.33 = 9.77