Y is an exponential random variable with variance Var[Y ] = 25.
(a) What is the PDF of Y ?
(b) What is E[Y 2]?
(c) What is P[Y > 5]?

Answer:

2.421

Step-by-step explanation:

Ill put the numbers in order from largest to smallest:

3

2.905

2.81

2.713

2.421

it's the smallest because it has 2 ones, 4 tenths, 2 hundredths, and 1 thousandth

Answer:

2.421

Step-by-step explanation:

All work is provided in the screenshot attached! :)

Answer:

  5

Step-by-step explanation:

You have more than 1 each of 3- and 4-legged tables that have a total of 23 legs, and you want to know the number of 3-legged tables.

Let t and f represent the numbers of three- and four-legged tables respectively. Then we require ...

  3t +4f = 23 . . . . and t > 1, f > 1

The value 23 is clearly 5·4 +1·3, so we have one solution (t, f) = (1, 5). Increasing the number of 3-legged tables by 4 and decreasing the number of 4-legged tables by 3 will leave the number of legs unchanged. Then for some 'n', we have ...

  t = 1 +4n

  f = 5 -3n

The only solution that has t > 1 and f > 1 is the one for n=1:

  t = 1 +4·1 = 5 . . . . a total of 15 legs

  f = 5 -3·1 = 2 . . . . a total of 8 legs, making 23 when added to 15.

There are 5 three-legged tables.

__

Additional comment

There are formal methods for finding integer solutions to equations of the kind we wrote here. For this problem, it isn't necessary to go to that trouble, as we can "guess" a solution quickly.

A graphing calculator can also be helpful for finding solutions to the equation. This is shown in the attachment. The black points mark the "floor" values of the variables of interest (x=t, y=f).

Answer:

Hey! Your answer is, 9/4

Step-by-step explanation:

Hope this hepls! :)

Have a nice day!♥

Brainliest?

Answer:

Exact Form:

91/20

Decimal Form:

4.55

Mixed Number Form:

4 11/20

Step-by-step explanation:

In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.

To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.

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Answer: To solve this system of equations, we need to find two points that satisfy both equations. We can then use these two points to graph the equations and find their point of intersection, which will be the solution to the system.

Let's start by finding some points that satisfy the second equation, y = |2x^2 - 5|:

When 2x^2 - 5 is positive, y = 2x^2 - 5

If we set x = 0, then y = |-5| = 5, so one point is (0, 5).

If we set x = 1, then y = |2 - 5| = 3, so another point is (1, 3).

When 2x^2 - 5 is negative, y = -(2x^2 - 5) = 5 - 2x^2

If we set x = 0, then y = 5, so another point is (0, 5).

If we set x = -1, then y = 5 - 2 = 3, so another point is (-1, 3).

Now we have four points that satisfy the second equation: (0, 5), (1, 3), (-1, 3), and (0, 5). We can use these points to graph the equation y = |2x^2 - 5|, as shown below:

   |    

5 -+    +------------*------+------------*------+--

  |                         |                       |

4 -+                                                +--

  |                                                   |

3 -+    +------------*------+------------*------+     |

  |                         |                       |

2 -+                                                +--

  |                                                   |

1 -+                                                   +--

  |                                                      |

  +------------------------------------------------------+

    -1    -0.5    0    0.5     1     1.5    2      2.5    3

Next, we need to find the points that satisfy the first equation, 3x + y = 0. One way to do this is to plug in values of x and solve for y:

If x = 0, then y = 0, so one point is (0, 0).

If x = 1, then y = -3, so another point is (1, -3).

Now we have two points that satisfy both equations: (0, 5) and (1, -3). We can use these points to graph the equations and find their point of intersection:

   |    

5 -+    +------------*------+------------*------+--

  |                         |                       |

4 -+                                                +--

  |                                                   |

3 -+    +------------*------+------------*------+     |

  |                         |                       |

2 -+                                                +--

  |                                                   |

1 -+                                                   +--

  |                                                      |

  +------------------------------------------------------+

    -1    -0.5    0    0.5     1     1.5    2      2.5    3

                (0, 5)

                /

             __/_____

            /   /    \

          /   /        \

(-1.5, 0) /   / (0,0)   \ (1.5, 0)

         \  /            \ /

          \/--------------*---------------> x

                       (-3/4, -9/4)

From the graph, we can see that the two equations intersect at approximately (-0.75, -2.25). Therefore, the solution to the

Step-by-step explanation:

The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

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To provide the final numerical answer, the exact values of f(x1), f(x2), f(x3), and f(x4) need to be calculated using a calculator or numerical approximation techniques.

To approximate the integral of the function f(x) = x · 2^x over the interval [0, 4], we can use the midpoint rule with four equal-width subintervals. The midpoint rule estimates the integral by evaluating the function at the midpoint of each subinterval and multiplying it by the width of the subinterval.

To apply the midpoint rule, we divide the interval [0, 4] into four equal-width subintervals. The width of each subinterval is (4-0)/4 = 1.

The midpoints of the subintervals are located at x = 0.5, 1.5, 2.5, and 3.5. Let's denote these midpoints as x1, x2, x3, and x4, respectively.

For each subinterval, we evaluate the function f(x) = x · 2^x at the corresponding midpoint and multiply it by the width of the subinterval:

I ≈ Δx [f(x1) + f(x2) + f(x3) + f(x4)]

Now, let's calculate the values of f(x) at each midpoint:

f(x1) = 0.5 · 2^(0.5) = 0.5 · sqrt(2)

f(x2) = 1.5 · 2^(1.5)

f(x3) = 2.5 · 2^(2.5)

f(x4) = 3.5 · 2^(3.5)

Finally, we substitute these values into the midpoint rule formula:

I ≈ 1 [f(x1) + f(x2) + f(x3) + f(x4)]

Replace the values of f(x) at each midpoint and simplify to find the approximate value of the integral.

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Answer:

i think it's the third one

The graph no. 3 is not the graph of a function of x

A function is a mathematical expression where there are two variables , one is dependent variable and the other is the independent variable.

Every function has a domain and a range.

After we've substituted the domain, the range of a function is the entire set of all potential outcome values of the dependent variable (typically y)

A function is generally denoted by f(x) where x is the input.

In the given graphs it has to be determined that which graph is not a function of x .

It can be clearly seen from the image and the options that the option C has the equation

y = c.

As the graph is not dependent upon the value of x .

Therefore the graph y = c , option C is not the graph of a function of x.

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Quadratic equation is a type of equation which has the highest power of 2. The product of the given terms is option B.  \(2x^{3}\) - \(11x^{2}\) + 43x + 24

An equation is said to be quadratic if and only if the highest power of the variable in its terms is 2. Thus they can be solved either by completing the square method, graphical method, the use of the quadratic formula etc.

The product of an algebraic term and a quadratic equation involves a stepwise procedure, such that all terms and exponential are considered.

The given question state thus:

what is the product of x - 8 and \(2x^{2} -5x-3\)?

Thus using the expansion method, we have:

(x + 8)( \(2x^{2} -5x-3\)) = \(2x^{3}\) - \(5x^{2}\) - 3x + \(16x^{2}\) - 40x - 24

                                  =  \(2x^{3}\) - \(11x^{2}\) + 43x + 24

Thus the product of the given question is option B.   \(2x^{3}\) - \(11x^{2}\) + 43x + 24

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Answer:

Step-by-step explanation:

(7)=a\(a^{7}\)-1+6

Answer:

have of 18 is 9

9^2 is 81

81 x 3.14(pi) = 254.34

Formula of area of a circle:

half of diameter or given radius squared

Times

3.14(pi) or whatever you use for pi.

the radius, in centimeters, of this circle is 3 centimenters.

The area of ​​the circle is calculated through the product between the constant π and the measurement of the radius squared (r²). Thus, we have the following formula: A = π .

The formula for the area of a circle is given by:

A = πr^2

Knowing that the area is 9π.

Putting the values in the formula:

\(9 \pi = \pi r^2\\9=r^2\\r=3\)

Therefore, the radius of the circle is 3 centimeters.

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Answer:

x=28

y=20

Step-by-step explanation:

x+y=48

x=x

y=x-8 (y is the smaller number)

x+(x-8)=48

2x=56

x=28

(28)+y=48

y=20

I suppose * is supposed to denote a binary operation with the given definition,

a * b = (a - b)²

as opposed to multiplication, so that, for instance, 1 * 1 = (1 - 1)² = 0.

Using the definition of *, you have

2 * 5 = (2 - 5)² = (-3)² = 9

Answer:

19 miles

Step-by-step explanation:

hope this helps!!

Answer:

17

Step-by-step explanation:

I used a caculator...

Give Brillianst Please!!!

The value of the mean, rounded to two decimal places, is approximately 18.63.

To find the value of the mean given the standard deviation and the percentage of values above a certain threshold, we can use the z-score and the standard normal distribution table.

First, we calculate the z-score corresponding to the 97.5th percentile (since 97.5% of values are above 25). From the standard normal distribution table, the z-score corresponding to the 97.5th percentile is approximately 1.96.

The z-score formula is given by:

z = (x - mean) / standard deviation

Rearranging the formula, we can solve for the mean:

mean = x - (z * standard deviation)

Substituting the given values into the formula, we get:

mean = 25 - (1.96 * 3.25)

Calculating the expression, we find:

mean ≈ 25 - 6.37 ≈ 18.63

Therefore, the value of the mean, rounded to two decimal places, is approximately 18.63.

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The dissociation curve is a graphical representation of the relationship between the fractional saturation of hemoglobin (Y-axis) and the partial pressure of oxygen (X-axis) under specific conditions. It provides important information about the binding and release of oxygen by hemoglobin.

The dissociation curve for hemoglobin exhibits a sigmoidal (S-shaped) shape. At low partial pressures of oxygen, such as in tissues, hemoglobin has a low affinity for oxygen and only binds a small amount. As the partial pressure of oxygen increases, hemoglobin's affinity for oxygen increases, resulting in a rapid increase in the binding of oxygen molecules. However, once the hemoglobin becomes nearly saturated with oxygen, the curve levels off, indicating that further increases in partial pressure have minimal effects on oxygen binding.

To calculate the fractional saturation of hemoglobin at a given partial pressure of oxygen, you can use the Hill equation:

Y = [O2]^n / ([O2]^n + P50^n)

Where:

Y is the fractional saturation of hemoglobin,

[O2] is the partial pressure of oxygen,

P50 is the partial pressure of oxygen at which hemoglobin is 50% saturated,

n is the Hill coefficient, which represents the cooperativity of oxygen binding.

To determine the P50 value experimentally, the partial pressure of oxygen at which hemoglobin is 50% saturated, you can plot the dissociation curve and identify the point where the curve reaches 50% saturation.

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Answer:

in the intersection region of all the solution in the system.

The function y(n) = 2,860 * (1 + 0.011)^n represents the number of jiu-jitsu instructors n years after 1990.

The function y(n) can be used to represent the number of jiu-jitsu instructors n years after 1990.

Since the number of jiu-jitsu instructors has been increasing at a rate of 1.1% per year since 1990, we can calculate the number of instructors using the initial value of 2,860.

The formula for the function y(n) can be written as:

y(n) = 2,860 * (1 + 0.011)^n

In this formula, n represents the number of years after 1990.

To calculate the number of jiu-jitsu instructors n years after 1990, we raise the value of (1 + 0.011) to the power of n and multiply it by the initial value of 2,860.

For example, to find the number of jiu-jitsu instructors in the year 2000 (10 years after 1990), we substitute n = 10 into the formula:

y(10) = 2,860 * (1 + 0.011)^10

By using this function, we can determine the number of jiu-jitsu instructors for any given year after 1990.

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Answer:

20

Step-by-step explanation:

Answer: 2a-2ab+7

Step-by-step explanation:

6a-5ab+8-(4a-3ab+1)=

6a-5ab+8-4a+3ab-1=

2a-2ab+7

Answer:

2a - 2ab - 9b + 7

Step-by-step explanation:

The step here is to collect the like terms available like this;

6a - 5ab - 9b + 8

- 4a - 3ab - 0 + 1

which is = 2a - 2ab - 9b + 7

Manav can cover 1 mile of the distance in just 12 minutes.

The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc

if Manav covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:

Unit rate = 36min/3miles

Unit rate = 12 minutes/mile

Here,

This shows that Manav can cover 1 mile of the distance in just 12 minutes.

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Answer:

2

Step-by-step explanation:

The slope, or rate of change in any function is the number multiplied by the independent variable (in this case x).

The 4 cm segment on the map corresponds to 0.96 kilometers on the ground.

Representative fraction of the map: 1:24,000

Length of the segment on the map: 4 cm

Let's denote the distance on the ground as 'x' in kilometers.

We can set up the proportion as follows

1 cm on the map represents 24,000 cm on the ground 4 cm on the map represents x km on the ground

Using cross-multiplication, we can solve for 'x'

1 cm / 24,000 cm = 4 cm / x km

x km = (4 cm × 24,000 cm) / 1 cm

Simplifying:

x km = 96,000 cm

Now, we can convert centimeters to kilometers:

x km = 96,000 cm / 100,000 cm/km

x km = 0.96 km

Therefore, the 4 cm segment on the map corresponds to approximately 0.96 kilometers on the ground.

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Answer:

D

Step-by-step explanation:

A is the same line

B is not negative

C is perpendicular

D has the same slope and a different y-intercept

Answer:

the answer is 0

hope it helps have a nice dayyy