i got it wrong i don’t know why , need help !

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

About expected value here:

https://brainly.com/question/29574962

#SPJ11

The probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.

Let X represent a random variable which represents the proportion all school graduates who secure employment in their profession of choice within a year of graduation:

With a binomial distribution,

X has a n = 5 and a p value of 0.57.

n = number of trial.

p = probability of success

x = number of success.

A binomial distribution's probability mass function is provided by:

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

The likelihood that at least one gets employment in their field of choice within a year after graduation:

P(X ≥ 1) = 1 - P(X < 1)

P(X ≥ 1) = 1 - P(X = 0)

P(X ≥ 1) = 1 - ⁵C₀ . (0.57)⁰ . (0.43)⁹⁻⁰

P(X ≥ 1) = 1 - 0.603

P(X ≥ 1) = 0.9396

P(X ≥ 1) = 93.96%

Thus, the probability that at least one graduate out of the five who were picked at random obtains a job in their chosen area within a year of graduation is 93.96%.

To know more about the binomial probability, here

https://brainly.com/question/24756209

#SPJ4

The complete question is-

A study conducted at a certain college shows that 57% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The correct answer is (f) 54b - 170 ≤ 2500. Th inequality (f) 54b - 170 ≤ 2500 describes the number of boxes b that he can safely take on each trip.

To determine the inequality that describes the number of boxes the worker can safely take on each trip, we need to consider the weight limits. The worker weighs 170 lb, and each box weighs 54 lb. Let's denote the number of boxes as b.

The total weight on the elevator should not exceed the weight limit of 2500 lb. Since the worker's weight and the weight of the boxes are added together, the inequality can be written as follows: 54b + 170 ≤ 2500.

However, since we want to determine the number of boxes the worker can safely take, we need to isolate the variable b. By rearranging the inequality, we get 54b ≤ 2500 - 170, which simplifies to 54b - 170 ≤ 2500.

Read more about inequality here:

https://brainly.com/question/20383699

#SPJ11

An individual's BMR decreases approximately 3 to 5 percent per decade on an average after the age of option C. 30.

Therefore, on an average individuals BMR is approximately decreases by round about 3 to 5 percent per decade after the age of option c. 30.

Learn more about average here

brainly.com/question/24057012

#SPJ4

  Let's see the other options :

7(1+2x)

Use the distributive property :

7+14x

Is 7+14x equivalent to 6+12x? No.

The expression equivalent to 6+12x is :

6(1+2x) ← divide 6+12x by 6 and put it outside the parentheses

hope helpful ~

Answer:

Step-by-step explanation:

Answer:

it would be just a little less to fit in

Step-by-step explanation:

Answer:

4.75 inches

Step-by-step explanation:

9.5 ÷ 2 = 4.75

9514 1404 393

Answer:

  2

Step-by-step explanation:

Between the points at (x, y) = (-5, 4) and (-4, 6), the graph rises 2 units for a horizontal run of 1 unit. The average rate of change between the two points is ...

  m = rise/run = 2/1 = 2

The average rate of change on the interval [-5, -4] is 2.

Answer:

35 + 3x

Step-by-step explanation:

we mark the number of sets of laces as x, each pf those costs 3$, so in total - 3x$

we add that to the 35$ of the shoes and get:

35+3x

Answer:

it is a 60 30 90 triangle so basically 2y is = x

21² + y² = x²

441 + y² = x²

y = x/2 (2y = x)

441 + x²/4 = x²

4x² = 1764 + x²

3x² = 1764

x = exact is 24.248711306 simplied square root would just be 14√3

2y = 14√3

y = 7√3

exact wouldd be 12.124355653

Answer:

8 + v

Step-by-step explanation:

assuming Lamar didn't buy any other cupcakes outside of the chocolate and vanilla ones mentioned, the expression that gives you the total amount of cupcakes bought for the party is 8 + v. since you don't know the number of vanilla cupcakes Lamar bought, it is represented as the variable v in this problem. Then just add 8 and the variable v together. hope this helped :]

The inverse of the given matrix \(\left[\begin{array}{cc}-3&11\\2&-7\end{array}\right]\) exists and the inverse of the matrix \(\left[\begin{array}{cc}-3&11\\2&-7\end{array}\right]\) is given by \(\left[\begin{array}{cc}\frac{-7}{13}&\frac{-2}{13}\\\frac{-11}{13}&\frac{-3}{13}\end{array}\right]\).

Given the matrix is,

A = \(\left[\begin{array}{cc}-3&11\\2&-7\end{array}\right]\)

Now value of the determinant of the given matrix is,

| A | = \(\left|\begin{array}{cc}-3&11\\2&-7\end{array}\right|\) = (-3) * (-7) - 2 * 11 = 35 - 22 = 13

Since the value of the determinant of the given matrix is not zero so the matrix is non singular. So the inverse of the matrix exists.

A⁻¹ = adj(A)/|A|

So adjoint of matrix A is given by,

Adj (A) = \(\left[\begin{array}{cc}-7&-2\\-11&-3\end{array}\right]^T\) = \(\left[\begin{array}{cc}-7&-2\\-11&-3\end{array}\right]\)

And | A | = 13

So, the inverse of the given matrix is given by,

A⁻¹ = adj(A)/|A| = \(\frac{\left[\begin{array}{cc}-7&-2\\-11&-3\end{array}\right]}{13}=\left[\begin{array}{cc}\frac{-7}{13}&\frac{-2}{13}\\\frac{-11}{13}&\frac{-3}{13}\end{array}\right]\).

To know more about Inverse of matrix here

https://brainly.com/question/28097317

#SPJ4

The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.

To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:

1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.

2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.

3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.

4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.

Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.

For more questions on equations

https://brainly.com/question/29174899

#SPJ8

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer:

a = 4

Step-by-step explanation:

Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5.  Then, distribute 3 into a - 5 to get 3a - 15 when expanded.  Combine the two like terms 2a and 3a to get 5a.  Then, add 15 on both sides to get to this equation which is 5a = 20.  Divide 5 on both sides to get your a-value which is 4.

Answer:

$49425.1688842

Step-by-step explanation:

Use formula: v=c*(p^t), where v is the price now, c is the cost price, p is the 100-the depreciation percentage and t is the time/years passed)

0.9¹²(175000)

0.28242953648(175000)

49425.1688842

Answer:

Step-by-step explanation:

This is the correct answer

Answer:

Step-by-step explanation:

In the given question, it is given that

ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.

And we have to find the value of tan B.

And tangent of any angle is equal to the ratio of vertical by horizontal. That is

\(tanB=\frac{8}{15}\)

And that's the required missing ratio for tan B .

The value of the trigonometric function sin B, cos B, and sin A is 8/17, 15/17, and 15/17 respectively.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

A ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.

Then we have

\(\sin B = \dfrac{8}{17}\\\\\\\cos B = \dfrac{15}{17}\\\\\\\sin A = \dfrac{15}{17}\)

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Applying derivative to the formula of area of square and using the provided value of area to calculate the length with the rate of increase of sides, The answer is  \(36 cm^{2}/s\) .

A function's rate of change with respect to a variable in mathematics. Calculus and differential equations problems must be solved using derivatives in order to be successfully solved. A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable. Calculus's core tool is the derivative.

A square has four equal sides, four vertices, and is a closed, two-dimensional object. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.

Required formula is:

\(A = l ^{2}\)

\(\frac{dl}{dt} =3cm/s\)

\(area = l^{2}\)

\(l = \sqrt{36}\)

\(l= 6 cm\)

apply derivative to the area formula we get,

\(\frac{dA}{dt} = 2*l*\frac{dl}{dt}\)

= 2 * 6 *3

=\(36 cm^{2}/s\)

To learn more about derivative visit:

https://brainly.com/question/23847661

#SPJ4

Answer:

mean=(5.1 +5.3+ 5.4 +5.2+ 5.5 +5.4+ 5.2 +5.3 +5.5+ 3.5)/10=51.4/10=5.14

If the bottom of the ladder slides away from the wall, then x changes by 12cosθ with respect to theta and when  θ = π/6, x changes by 6\(\sqrt{3}\) inches with respect to θ.

Here, we are given that a ladder 16 ft long rests against a vertical wall and theta is the angle between the top of the ladder and the wall.

We know that, sin of an angle = opposite / hypotenuse

Thus, sinθ = x/16

⇒ x = 16 sinθ

The rate of change of x with respect to θ will be given by dx/dθ

dx/dθ = d/dθ (12sinθ)

= 12 d/dθ (sinθ)

= 12cosθ

Now, we need to find the value of dx/dθ when θ = π/6,

= 12 cosπ/6

= 12 (\(\sqrt{3}\)/2)

= 6\(\sqrt{3}\)

Thus, when  θ = π/6, x changes by 6\(\sqrt{3}\) inches with respect to θ.

Learn more about trigonometry here-

https://brainly.com/question/20519838

#SPJ1

Your question was incomplete. Check for full content below-

A ladder 12 feet long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall, and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π/6?

In this the correct choice is: D. There are no relative maxima and no relative minima.

The given function is y = \(x^{3}\) - 12x + 3. To find the relative maxima and minima, we need to calculate the first and second derivatives of the function.

First, let's find the first derivative: y' = 3\(x^{2}\) - 12

Now, let's find the second derivative: y'' = 6x

To apply the second-derivative test, we need to determine the critical points by setting the first derivative equal to zero and solving for x:

3\(x^{2}\) - 12 = 0

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

(x - 2)(x + 2) = 0

From this equation, we find that x = 2 and x = -2 are the critical points.

Now, let's evaluate the second derivative at these critical points:

y''(2) = 6(2) = 12

y''(-2) = 6(-2) = -12

Since the second derivative at x = 2 is positive (12 > 0) and the second derivative at x = -2 is negative (-12 < 0), the second-derivative test tells us that there are no relative maxima or minima. Therefore, the correct choice is D. There are no relative maxima and no relative minima for the given function.

Learn more about minima here:

https://brainly.com/question/30236354

#SPJ11

The complete question is:

Test for relative maxima and minima. Use the second-derivative test, if possible. y=x3 - 12x + 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The relative maxima occur at x = 2. The relative minima occur at -2. (Type integers or simplified fractions. Use a comma to separate answers as needed.) The relative maxima occur at x=-2. There are no relative minima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) O C. The relative minima occur at x = 2 . There are no relative maxima. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) OD. There are no relative maxima and no relative minima.

The probability that a srs of 20 students will spend an average of between 600 and 700 dollars is 0.92081.

We need to find the probability that a simple random sample of 20 students will spend an average of between 600 and 700 dollars.

To solve this problem, we will use the central limit theorem, which states that the sampling distribution of the sample means will be approximately normally distributed with a mean of μ and a standard deviation of σ/√(n), where n is the sample size.

Thus, the mean of the sampling distribution is μ = 650 and the standard deviation is σ/sqrt(n) = 120/√(20) = 26.83.

We need to find the probability that the sample mean falls between 600 and 700 dollars. Let x be the sample mean. Then:

Z1 = (600 - μ) / (σ / √(n)) = (600 - 650) / (120 / √t(20)) = -1.77

Z2 = (700 - μ) / (σ / √(n)) = (700 - 650) / (120 / √(20)) = 1.77

Using a standard normal distribution table or calculator, we can find the area under the standard normal distribution curve between these two Z-scores as:

P(-1.77 < Z < 1.77) = 0.9208

Therefore, the probability that a simple random sample of 20 students will spend an average of between 600 and 700 dollars is 0.9208, or approximately 0.92081 when rounded to five decimal places.

Learn more about probability here:

brainly.com/question/14228383

#SPJ11

Answer:

X-----Independent Variable

Y-----Dependent Variable

Dependent Variable-----A variable whose value determines the value of the output

Independent Variable-----A variable whose value determines the value of the input

Input-----The value substituted into an expression or function

Output----The value that results from the substitution of a given input into an expression or function