g a trough is 8 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. if the trough is being filled with water at a rate of 15 ft3/min, how fast is the water level rising when the water is 5 inches deep? 2.813 incorrect: your answer is incorrect. ft/min

9.1875 are the mean and variance of depth in random variable.

What is random variable in math?

The mean of the random variable X is

                                                E(X) =b+a/2

                                                        = 19 + 8.5/2

                                                       = 13.75

The variance of the random variable X is,

                                                       V(X) = ( b - a)²/12

                                                               = ( 19 - 8.5 )²/12

                                                             = 9.1875

If the random variable X is uniformly distributed on the interval [8.5, 19], then the mean of the random variable X is 13.75 and the variance of the random variable X is 9.1875.

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Answer:

The slope is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

When given two points, we can find the slope using the slope formula

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

    = ( -1 - -1)/( -2 -4)

    = ( -1 +1)/( -2 -4)

    = 0/-6

   = 0

Answer:

2√e√3√f / 3f

Step-by-step explanation:

√4√e / √3√f

2√e / √3√f  * (√3√f / √3√f)

2√e√3√f / 3f

Rounding to the nearest thousandth, x ≈ 2.345

One or more variables or numbers are combined with one additional action to form an expression.

To solve this equation, we can start by adding 3 to both sides:

\(4^x - 3 + 3 = 18 + 3\)

Simplifying:

\(4^x = 21\)

Now, we can take the logarithm base 4 of both sides:

\(log4(4^x) = log4(21)\)

Simplifying:

x = log4(21)

Using a calculator, we can approximate:

x ≈ 2.345

Rounding to the nearest thousandth, we get:

x ≈ 2.345

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The equation 9(4x + 2) = 7(5x - 8) + x has no solutions.

The equation 9(4x + 2) = 7(5x - 8) + x can be simplified to 36x + 18 = 35x - 56 + x.
To solve this equation, we need to combine like terms.

We start by subtracting 35x from both sides to get:
36x + 18 - 35x = -56 + x.
Simplifying further, we have:
x + 18 = -56 + x.
Now, we subtract x from both sides to eliminate it from one side of the equation:
x + 18 - x = -56 + x - x.
Simplifying, we get:
18 = -56.
Now, we see that this equation leads to a contradiction.

The left side of the equation is a constant value of 18, while the right side is a constant value of -56.

Since these two values are not equal, there are no values of x that satisfy the equation.
Therefore, the equation 9(4x + 2) = 7(5x - 8) + x has no solutions.

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Answer:

$110

Step-by-step explanation:

If you invested $10,000 in a mutual fund and the fund earned a 7% return for the year, you’d gain about $700, and your investment would be worth $10,700. If you got an average 7% return the following year, your investment would then be worth about $11,500.

Over the years, your investment can really grow: If you kept that money in a retirement account over 30 years and earned that average 7% return, for example, your $10,000 would grow to more than $76,000.

In reality, investment returns will vary year to year and even day to day. In the short term, riskier investments such as stocks or stock mutual funds may actually lose value. But over a long time horizon, history shows that a diversified growth portfolio can return an average of 6% to 7% annually. Investment returns are typically shown at an annual rate of return.

By using the rule of 3 simple, we will see that the value of the angle of the arc is 30°.

We know that an arc of 24 degrees has an arc length of 28cm, then we can write a relation:

24° = 28cm

(notice that it is just a relation so we can use the 3-simple-rule, that is not an equation, we only can do this because there is a linear relation between the angle and the length).

And for an angle x we have a length of 35cm, then we can write:

x = 35cm

Now we can take the quotient of these two equations to get:

x/24° = (35cm/28cm)

Solving for x:

x = (35cm/28cm)*24° = 30°

That is the angle of the arc.

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Answer:

Answer c..... can i get brainliest ?

Step-by-step explanation:

Just substitute (2,0) in the equation

2 for x

0 for y

Answer:

x, y

Step-by-step explanation:

Answer:

36 in

Step-by-step explanation:

7+7+11+11= 36

Answer:

36 inches

Step-by-step explanation:

2 7inch sides plus 2 11 inch sides

2x7= 14

2x11= 22

14+22= 36 inches

Answer:

the answer is -3

Step-by-step explanation:

1. add the -4 to 10 (-10 + 4)

2. -6= 2a

3. divide both sides by 2

4. -3= a

hope this helps

The cost price that was used to get the book is: R.S 172

The parameters given are:

Marked Price: M.P = RS. 250

Discount allowed = 10%

The formula to find the selling price here will be:

S.P = M.P * (100 - Discount)/100

Thus:

S.P = 250 * (100 - 14)/100

S.P = 250 * 0.86

S.P = R.S 215

Since the profit is 25%, then we have:

Cost Price = (S.P * 100)/(100 + Gain%)

Cost price = (215 * 100)/(100 + 25)

Cost Price = 21500/125

Cost price = R.S 172

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Answer:

I think it might be option 3

Step-by-step explanation:

sorry if I’m wrong

Step-by-step explanation:

First draw a straight line

then mark a point A on the line

after take the compass and take 10 cm size

then keep the compass on A and draw the arc its B

then keep the point on B and draw arc to A

next keep the compass on A draw arc on same length

to upside to line do same thing from point B to upside

mark a point meeting borth arcs its c

all ABC triangle

The equivalent graph of the function are shown below.

The equation of a line in slope-intercept form is expressed as y = mx + b where:

m is the slope

b is the intercept

Given the equations below
y=-1/3x+1

y=-2x-3

The slope of both equations are -1/3 and -2 respectively showing a negative slope. This means that both lines are oriented downward the plane as shown below;

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Func1(x, y) returns the sum of the original values of x and y. func2(x, y) returns the average of the final values of x and y after swapping. func3(a, b, c) returns the average of the final values of b and c after swapping and averaging.

Break down the meaning of the value returned by each of the three functions:

1. func1(x, y): This function swaps the values of x and y by assigning x the value of y and y the value of x. Finally, it returns the sum of x and y. Therefore, the value returned by func1(x, y) can be described as the sum of the original values of x and y.

2. func2(x, y): This function calls func1(x, y) and assigns the returned value to y. It then calls func1(y, x) and assigns the returned value to x. Next, it calculates z as the difference between x and y. Finally, it returns the average of x and y, which is (x + y) / 2.

The value returned by func2(x, y) can be described as the average of the final values of x and y after the swapping operations.

3. func3(a, b, c): This function calls func2(a, b) and assigns the returned value to c. It then calls func1(a, c) and assigns the returned value to b. Finally, it returns the average of b and c, which is (b + c) / 3. The value returned by func3(a, b, c) can be described as the average of the final values of b and c after the swapping and averaging operations.

In summary, func1(x, y) returns the sum of the original values of x and y. func2(x, y) returns the average of the final values of x and y after swapping. func3(a, b, c) returns the average of the final values of b and c after swapping and averaging.

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The complete question goes thus:

Consider the following confusing functions: def func1(x,y): x=y y=x y=y return (x+y) def func2(x,y): y=func1(x,y) x=func1(y,x) z=x-y return (x+y)/2 def func3(a,b,c): c=func2(a,b) b=func1(a,c) return (b+c)/3 Explain the meaning of the value returned by each of the three functions, assuming that all of the parameters are integers. (For example, you can write something like "func1(x,y) returns x2 - y2". This specific answer will not give you points because it is wrong. But a similar style answer is correct.)

The numbers can be arranged 6 times in a 2-by-3 grid.

The numbers can be arranged only six times since each row and each column has their numbers in increasing order.

The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

On integers, we can carry out all mathematical operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.

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the volume of the cone is 94.2 cubic feet

Answer:

8 tacos

Step-by-step explanation:

40 tacos    to     15 students

8 tacos       to      3 students

15/3 =5, so divide 40 by 5 to get 8

Answer:

It´s going to be B

Step-by-step explanation:

Answer:

the 01 is inequality

I dont know if I am right.

if I am you are welcome

Step-by-step explanation:

the answer from the graph is;

(3 , -2)

Answer:

the factors of 16 are

1 * 16 = 16

2 * 8 = 16

4 * 4 = 16

Step-by-step explanation:

to find the factor pairs of a number you have to find the multiples of that number meaning what times what equals that number

formula for factor pairs: x * x = A

Answer:

y^2 + 8y + 15

Step-by-step explanation:

y * y = y^2

y * 5 = 5y

3 * y = 3y

3 * 5 = 15

y^2 + 5y + 3y + 15

a) The average acceleration is 4.22m/s^2. The displacement of the cheetah at t = 3.4 s is 23.012 m

(a) To determine the cheetah's average acceleration during the short sprint, we can use the formula for average acceleration:

Average acceleration = (Change in velocity) / (Time taken)

The cheetah starts from rest, so the initial velocity (u) is 0 m/s. The final velocity (v) is given as 76 km/h, which needs to be converted to m/s:

Final velocity (v) = 76 km/h * (1000 m/1 km) / (3600 s/1 h) = 21.11 m/s

The distance covered is given as 50 m, and the time taken is 5 s. Substituting these values into the formula, we can calculate the average acceleration of the cheetah.

Average acceleration = (21.11 m/s - 0 m/s) / 5 s = 4.222 m/s^2

Therefore, the cheetah's average acceleration during the short sprint is 4.222 m/s^2.

(b) To find the displacement of the cheetah at t = 3.4 s, we need to calculate the distance traveled during that time interval. Assuming the cheetah maintains a constant acceleration throughout the sprint, we can use the equation of motion:

Displacement = (Initial velocity) * (Time) + (0.5) * (Acceleration) * (Time^2)

Given that the initial velocity (u) is 0 m/s and the time (t) is 3.4 s, we need to find the acceleration (a). We can use the average acceleration calculated in part (a) as an approximation for the constant acceleration during the sprint. Substituting these values into the equation, we can find the displacement of the cheetah at t = 3.4 s.

Displacement = (0 m/s) * (3.4 s) + (0.5) * (4.222 m/s^2) * (3.4 s)^2 = 23.012m. Therefore, the displacement of the cheetah at t = 3.4 s is 23.012 m.

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Answer:Objective: Solve systems of equations with three variables using addition/elimination.

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve u

Step-by-step explanation:

sorry my answer was wrong

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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The probability of getting a 5 or a divisor of 16 when spinning the spinner is 1/2 or 50%.

To find the probability of getting a 5 or a divisor of 16, we need to first understand what the spinner looks like. Assuming that the spinner has equally sized sections labeled 1 through 8, we can see that a divisor of 16 would be either 1, 2, or 4.

So, out of the eight possible outcomes, there are three that are divisors of 16 (1, 2, and 4) and one that is a 5. Therefore, there are four possible outcomes that satisfy the condition of getting a 5 or a divisor of 16.

To calculate the probability of getting a 5 or a divisor of 16, we divide the number of favorable outcomes (4) by the total number of possible outcomes (8). This gives us:

P(5 or divisor of 16) = favorable outcomes / total outcomes

= 4/8

= 1/2 or 50%

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\(36\) students registered in Math Trail only,\(50\) students  registered in Amazing Race only and \(36\) students who did not registered in both events.

We have according to question

Total number of students\(=150\)

Number of students in Math Trail\(=64\)

Number of students in Amazing Race\(=78\)

Number of students registered in both\(=28\)

To find: Number of students  registered in Math Trail only and in Amazing Race only. And number of students  who did not registered in both events.

Now, Number of students  registered in Math Trail only

\(=64-28\\=36\)

Number of students  registered in Amazing Race only

\(=78-28\\=50\)

Number of students who did not registered in both events

\(=56+78-28\\=114\\150-114=36\)

Therefore \(36\) students registered in Math Trail only,\(50\) students  registered in Amazing Race only and \(36\) students who did not registered in both events.

When using supervised learning, the fit() technique requires two arrays of training data, but unsupervised learning only requires one array.

After the model is initialised, the "fit" method runs the algorithm on the training data. That is all it does, in essence. Thus, the machine learning model is trained using the training data by the sklearn fit approach. In the manufacturing industry, the term "form-fit-function" (FFF) refers to a part's distinguishing features (a single component that goes into the final build of your product, typically kept on an item master).

model.fit(): fit practise data This accepts the data X and the labels y as two arguments for supervised learning applications (e.g., model. fit(X, y)). Function at Cost. The cost function for linear regression is the Sum of Squares of Errors with the lowest value. Calculate the squared error sum for each and every available line.

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