Inscribed Angles
need help i don't know what to put
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The joint PDF of X and Y is fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

The joint probability density function (PDF) of X and Y can be obtained by multiplying the individual PDFs of X and Y, as they are independent random variables.

Given:

X ~ Exponential(λ), with mean 1 (λ = 1)

Y ~ Uniform(0, X), for 0 < y < x

To find the joint PDF, we first need to express the PDFs of X and Y.

PDF of X:

fX(x) = λ * exp(-λx) for x > 0 (Exponential distribution with parameter λ)

PDF of Y:

fY(y|x) = 1 / x for 0 < y < x (Uniform distribution on interval [0, x])

Now, we can find the joint PDF by multiplying these individual PDFs:

fx.x (x, y) = fX(x) * fY(y|x)

Substituting the PDFs:

fx.x (x, y) = (λ * exp(-λx)) * (1 / x)

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x

Therefore, the fully specified joint PDF of X and Y is:

fx.x (x, y) = λ * exp(-λx) / x for 0 < y < x, and 0 elsewhere.

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Answer:

2x<10 is basically x<5

Step-by-step explanation:

You divide both sides by 2 to isolate x and since 2 is not negative it doesn't change the sign.

Answer:

-0.0936538462

Step-by-step explanation:

Start by solving the right side of the equation

1 - 2.87 = -1.87

now we have:

3 + 5.2c = -1.87

subtract 3 from both sides to get:

5.2c = -4.87

divide both sides by 5.2 to get:

-0.0936538462

hope that's what you're looking for! :)

a. f(-9) = -68 ,b.  f(x+7) = 7x + 44
c. f(-x) = -7x - 5, to evaluate the function f(x) = 7x - 5 at specific values, we substitute the given values for x and simplify the expressions.

(a) Evaluating f(-9), we substitute x = -9 into the function:
f(-9) = 7(-9) - 5 = -63 - 5 = -68. Therefore, f(-9) = -68.
(b) To evaluate f(x+7), we substitute x+7 into the function:
f(x+7) = 7(x+7) - 5 = 7x + 49 - 5 = 7x + 44. Therefore, f(x+7) = 7x + 44.
(c) For f(-x), we substitute -x into the function:
f(-x) = 7(-x) - 5 = -7x - 5. Therefore, f(-x) = -7x - 5.
In summary, f(-9) = -68, f(x+7) = 7x + 44, and f(-x) = -7x - 5. These expressions represent the simplified evaluations of the function at the given values of the independent variable.

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Answer:

x = 4

Step-by-step explanation:

RT = RS + ST

RT = 36

RS + ST = 36

6x + 1  + x + 7 = 36

6x + x + 1 + 7 = 36  {Combine like terms}

7x + 8 = 36   {Subtract 8 from both sides}

7x + 8 - 8 = 36 - 8

7x = 28   {Divide both sides by 7}

7x/7 = 28/7

x = 4

Answer:don’t worry u not dum and also im sorry that’s not a function.

Step-by-step explanation:

Give me brainliest!

The value of logarithmic function log base a 20 is  0.902.

Solving the log equation:

log (x+36) - log(x+1) = log 19

Let us use the following logarithmic property:

log a - log b = log(a/b)log(x+36) - log(x+1)

= log 19

⇒ log[(x+36)/(x+1)] = log 19

Taking the anti logarithm on both sides,(x+36)/(x+1) = 19

Multiplying both sides by (x+1),(x+36) = 19(x+1)

Expanding the product, we get:8

x + 36 = 19x + 19x + 1 ⇒ 38x = 35 ⇒ x = 35/38

Therefore, the solution of the given log equation is x = 35/38.

Now, evaluating log base a 20.

We have, log base a 5 = 0.699 and log base a 2 = 0.301.

Now, we know that log base a (xy) = log base a x + log base a y

Using this property, we can write:

log base a 20 = log base a (4 × 5)⇒ log base a 20 = log base a 4 + log base a 5

We know that 4 is 2 raised to the power of 2, i.e., 4 = 2²

Hence, we can write:

log base a 20 = log base a (2²) + log base a 5⇒ log base a 20 = 2 log base a 2 + log base a 5

Now, substituting the values of log base a 5 and log base a 2, we get:

log base a 20 = 2 × 0.301 + 0.699= 0.902

Therefore, log base a 20 = 0.902.

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The equivalent form of the equation y=\(x^{2} -2x-15\)given is y=(x+3)(x-5).

Given an equation y=\(x^{2}\)-2x-15 and we are required to find the equivalent form of the equation.

Equation is like a relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation, quadratic equation, cubic equation or any other equation  depending on the powers of the variable.

To find the equivalent equations we are required to form factors of the equation. Equivalent equation are those equations which when solved gives the same solution as the equation when solved gives.

y=\(x^{2}\)-2x-15

y=\(x^{2}\)-5x+3x-15

y=x(x-5)+3(x-5)

y=(x+3)(x-5)

Hence the equivalent form of the equation y= \(x^{2}\)-2x-15 given is

y=(x+3)(x-5).

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Question is incomplete as question should includes the equation

y= \(x^{2}\)-2x-15.

If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.

To calculate the amount you will collect after 150 days, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal amount (initial investment)

r = annual interest rate (as a decimal)

n = number of times the interest is compounded per year

t = time (in years)

In this case, the principal amount is $4 million, the annual interest rate is 3.95% (or 0.0395 as a decimal), and the CD has a 150-day term.

To determine the number of compounding periods in 150 days, we need to consider the compounding frequency. CD interest is typically compounded daily. Therefore, we have:

n = 365 (number of days in a year) / 150 (number of days in the CD term) = 2.4333

Plugging the values into the formula:

A = $4,000,000 * (1 + 0.0395/2.4333)^(2.4333*150/365)

A = $4,047,439

If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.

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Answer:

the answer is 67.44 hope it helps smile

The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

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No, the function f(x) = x^2 is not injective on the set of real numbers.

To prove this, we can use the definition of an injective function, which states that for a function to be injective, each element of the domain must map to a unique element of the range. In other words, if f(a) = f(b), then a must equal b.

For the function f(x) = x^2, we can find two different elements of the domain that map to the same element of the range. For example, f(-2) = (-2)^2 = 4 and f(2) = (2)^2 = 4. This means that f(-2) = f(2), but -2 does not equal 2. Therefore, the function f(x) = x^2 is not injective on the set of real numbers.

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Benefit she gets monthly is = 42.25-12.5= 29.75

annual value to Tamsen of this benefit= 12×29.75 = 357$

Answer:

No, this is not a rational number.

This is an irrational number because it's not rational. There isn't a possible ratio for that number.

Answer:

Step-by-step explanation:

You want the median for each of the histograms shown.

The median value is the value of the independent variable that divides the area of the histogram into two equal parts. It can be found as the variable value corresponding to half of the cumulative sum of areas.

To find it, we can find half of the total of the area of the histogram. This locates the bar containing the dividing line. Then we find the median as the  variable value interpolated between the area before the bar and the area including the bar.

This histogram is completely symmetrical, so the median is the value of x halfway between the limits of the middle bar:

  (10 +15)/2 = 12.5

The median is x = 12.5.

If we consider an interval of width 5 to be "1 unit", multiplying the width by the heights of the bars gives the series of areas ...

  (0.2, 0, 0.9, 0.9, 0.5, 0.5, 0.8, 0.2}

The total is 4, so half that is 2. The calculator tells us the cumulative total area (working from the left) is 2 at x = 20.

The median is x = 20.

Again, we choose "1 unit" horizontally to be 5 kg. Then the bar heights are the areas of the bars. The cumulative area is 20, so half the area is 10.

The highest bar, between 65 and 70, has a cumulative area of 6.8 at its left side and 12.6 at its right side. Then the cumulative area will be 10 at the point that is (10 -6.8)/(12.6 -6.8) = 3.2/5.8 = 16/29 of the distance between 65 and 70. The value of weight (kg) there is ...

  (16/29)(70 -65) +65 ≈ 67.759 . . . . kg

The median weight is about 67.8 kg.

__

Additional comment

The calculator image shows a calculation of median weight that is essentially the same, but executed differently.

If a1 and a2 are the cumulative areas on either side of the bar containing the median, and x1 and x2 are the x-values on either side of that same bar, then the median x is calculated from the median area m as ...

  x = ((a2 -m)x1 +(m -a1)x2)/(a2 -a1)

We have chosen bars of equal width to form the cumulative sum of areas. That way, we only need to be concerned with the bar height in the interval. You could use actual area values, which requires you multiply height by width for each bar. The above formula still works for that case.

The quartile locations can be found in similar fashion. If you have very many of these to do, a spreadsheet or statistics application may be helpful.

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Answer: 30%

Step-by-step explanation:

1/5th of students = 1/5 x 40 = 8

If 4 more students join, they will be (8+4) 12 students

Percentage will be 12/40 x 100 = 30%

Answer:

because in space there is something called microgravity. eating in mirco gravity can be very hard. salt and peppers just float away. and that can clog the air vents and go into astronauts nose and eyes.

Step-by-step explanation:

have a wonder ful day

The wind chill is a measure of how cold it feels when the wind is blowing.

Wind chill takes into account the combined effect of temperature and wind speed on the human body.

As wind speed increases, it carries heat away from the body more rapidly, making it feel colder than the actual temperature.

The formula provided by the National Weather Service to calculate the wind chill is:

w = 35.74 + 0.6215t + (0.4275t - 35.75) * v^0.16

where:

- w is the wind chill value

- t is the temperature in Fahrenheit

- v is the wind speed in miles per hour

Now, let's write a Python program that takes the temperature and wind speed as inputs and calculates the wind chill value:

```python

import sys

# Get temperature and wind speed from command-line arguments

t = float(sys.argv[1])

v = float(sys.argv[2])

# Calculate wind chill using the formula

w = 35.74 + 0.6215 * t + (0.4275 * t - 35.75) * v**0.16

# Print the wind chill value

print("Wind Chill:", w)

```

Example output:

```shell

$ python wind_chill.py 32 10

Wind Chill: 23.72794265120923

```

In this example, the temperature is 32 degrees Fahrenheit and the wind speed is 10 miles per hour.

The program calculates the wind chill value to be approximately 23.73.

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Answer:

Try searching online

Step-by-step explanation:

go to your browser then search up
How to do proportional relationships in math 7th grade ?? Please explain ?!!

==========================================================

Reason:

For any triangle, the inside angles always add to 180 degrees.

(angle1)+(angle2)+(angle3) = 180

(6x+13)+(79)+(6x+4) = 180

(6x+6x)+(13+79+4) = 180

12x+96 = 180

12x = 180-96

12x = 84

x = 84/12

x = 7

Then use this to compute angle A.

A = 6x+13 = 6*7+13 = 42+13 = 55 degrees

If you wanted, you can compute the other angle as well

6x+4 = 6*7+4 = 42+4 = 46 degrees

Then as a check:

(angle1)+(angle2)+(angle3) = (55)+(79)+(46) = 180

which confirms the answer.

In this plot, the stems represent the tens digit of each value, while the leaves represent the one digit. For example, the stem "35" represents the values 351 and 358.

A stem-and-leaf plot is a graphical representation that organizes data to show the distribution and frequency of values. In this case, the data represents caloric values for different fast food items. The stems represent the tens digit of each value, while the leaves represent the one's digit.

For example, the stem "35" represents the values 351 and 358. The leaf "1" corresponds to 351, and the leaf "8" corresponds to 358.

Stem Leaf

35         1, 8

36     6, 6, 9

37         9, 9

40     1, 1, 5, 6, 7, 8, 9, 9

The plot allows us to observe patterns and ranges within the data set easily. We can see that most of the values fall within the 400-420 calorie range, with a few outliers below 360 calories. The stem-and-leaf plot provides a concise and visual summary of the caloric values, making it easier to analyze and compare different fast food items based on their calorie content.

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Given:

in 27, the smaller triangle is the image of the larger triangle after a dilation with Center C

We will find the scale factor and the value of y

First, the result of the dilation gives similar figures

So, the side lengths of the figures will be proportions

We will find the scale factor (r) as follows:

now, we will find the value of y using the ratio and proportions

So, the answer will be:

The scale factor = 2/3

y = 3

Using proportions, James need 750ml for 24 pancakes

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

To find the amount of milk James need, we need to use proportions.

8 pancakes = 250ml milk

24 pancakes = x

cross multiply both side and make x the subject of formula

8 × x = 24 × 250

8x = 6000

Divide both sides by coefficient of x

8x / 8 = 6000 / 8

x = 750

He needs 750 ml of milk

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C.D.And E..

I'm sure..