Please explain in step by step detail.
Please explain in step by step detail.
Find the area under the graph of the function over the interval given. 18) y = 2x +7; [1, 5] A) 18 B) 52 C) 26 18) D) 9 Evaluate.

The average value for X is 9/18. Hence, the answer is D. 9.

The exponential distribution probability is given as P(X ≤ 9 ) = 1 − E−9/18. The average value for X is calculated as follows.

The expected value (mean) of an exponential distribution of a random variable X with rate parameter λ is given by E[X] = 1/λ.

In the given problem, λ = 18. Thus, the expectation of the random variable X is 1/18.

The calculation for the expected value of X can be represented as:

E[X] = 1/λ = 1/18

Thus, the average value for X can be represented as:

Average Value of X = E[X] = 1/18 = 9/18

Therefore, the average value for X is 9/18. Hence, the answer is D. 9.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

\(P = l + l + b + b\)

\(P = 2(2a + 3) + 2(8a - 12)\)

\(\boxed{\sf{P=20a-18}}\)

\(P = 20(3) - 18\)

\(P = 60 - 18\)

\(\boxed{\sf{P = 42 cm}}\)

\(P = (3b + 7) + (7b - 2) + (7b - 2)\)\(\boxed{\sf{P = 17b+3}}\)

\(P = 17(6) + 3\)

\(P = 102 + 3\)

\(\boxed{\sf{P = 105 \: m}}\)

Answer:

x = -2

Step-by-step explanation:

Given f(x) = 3x – 1

f(x) = -7

3x-1 = -7

3x = -7+1

3x = -6

x = -2

Answer:

x = -22

Step-by-step explanation:

given:

\(f(x) = 3x - 1\)

solve for x, when:

\(f(x) = -7\)

replace x with -7

~~~~~~~~~~~~

➡️ \( x = 3(-7) - 1 \)

➡️ \( x = -21 - 1 \)

➡️ \(x = -22 \)

a  Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

We have two similar triangles because both lines are parallel, use proportions to solve:

\(\frac{72}{9} =\frac{56}{3x-20}\\8=\frac{56}{3x-20}\\8(3x-20)=56\\3x-20=7\\3x=27\\x=9\)

the answer is A and D

when you differentiate the question you find that the maximum point is (0,0)i.e

\( \frac{dy}{dx} = - 8x\)

when dy/dx is 0 values of x are 0,0

and the function shows that valies of x are real numbers.

The domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

Given function as

f(x) = -4x²

The range is the set of values that correspond with the domain.

Range: (−∞,0], {y|y≤0}

Domain: (−∞,∞), {x|x∈R}

and the function shows that values of x are real numbers.

The maximum point is when differentiating the function, which is (0,0) i.e

dy/dx = -8x

Values of x are 0 when dy/dx is 0.

Hence, the domain of the graph is (−∞,∞), {x|x∈R} and the maximum point (0,0) which is the correct answer would be options (A) and (D)

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ5

Answer:

slope = -2

Step-by-step explanation:

(-5,2) (-8,8)

equation to find slope: \(\frac{y1 - y2}{x1 - x2}\)

\(\frac{2-8}{-5+8}\) = \(\frac{-6}{3}\) = \(\frac{-2}{1}\) = -2

Answer:

60

Step-by-step explanation:

15*4= 60 total

(3.6x - 1.9)4 = 28.4

3.6x -  1.9 = 7.1

3.6x = 7.1 + 1.9

3.6x = 9

x = 9 / 3.6

x = 2.5 (value of x)

3.6(2.5) - 1.9 = 7.1 (side length)

you want to multiply it by 4 because right now its only showing one side. perimeter is all 4 sides combined

Answer:

First 1 is 56

2nd one is 112

3rd one is 336

Step-by-step explanation:

Answer:

C.  1/5

Step-by-step explanation:

use the formula y over x (y/x) to calculate the slope

Notice that one coordinate on the line is (-5,1), and another is (0, 2)

the change is an increase in 5 in the x coordinate and an increase in 1 in the y function. Meaning it is a positive function and bu following (y/x), we are left with 1/5 :))

She keeps 5/5 - 3/5 apples

Then 5/5 - 3/5= 2/5

Now multiply by 45 apples. Result is

= 45x2/5= 18

Then answer is

She keeps 18 apples

Answer:6 < 4+n

Step-by-step explanation:at least symbol  is < . and more than means add .

Answer:

6/10, because 4/5-2x(1/10)=4/5-2/10

Step-by-step explanation:

Step-by-step explanation:

-3(v+4)=2v-37

-3v-12=2v-37

-12+37=2v+3v

25=5v

25/5=v

v=5

The value of x would be 7 or 3 depending on the given values or coefficients.

The equation you provided is in the form (x+?)=?. To solve this equation, we need to isolate the variable x.
Step 1: First, we want to get rid of any constant term on the right side of the equation. If there is a constant term, subtract it from both sides of the equation.
Example: Let's say the equation is (x+5)=12. To get rid of the constant term 5, we subtract 5 from both sides:
(x+5)-5=12-5
This simplifies to:
x = 7
Step 2: Once the constant term is eliminated, we want to isolate the variable x. If there is a coefficient (number) in front of x, divide both sides of the equation by that coefficient to solve for x.
Example: Let's say the equation is (2x+3)=9. We want to get rid of the coefficient 2 in front of x. To do this, we divide both sides of the equation by 2:
(2x+3)/2 = 9/2
This simplifies to:
x + 3/2 = 9/2
Step 3: Finally, to isolate x completely, subtract any constant term on the left side of the equation.
Example: Using the equation from Step 2, we subtract 3/2 from both sides of the equation:
x + 3/2 - 3/2 = 9/2 - 3/2
This simplifies to:
x = 6/2
And further simplifies to:
x = 3
So, in the equation (x+?)=?, the value of x would be 7 or 3 depending on the given values or coefficients.

For more such questions value,Click on

https://brainly.com/question/843074

#SPJ8

Answer:

B and C

Step-by-step explanation:

x+y=5

 -y.  -y

x=5-y

5-y-y=1

5-2y=1

-5.  -5

-2y= -4

/-2.  /-2

y=2

x+2=5

-2. -2

x=3

x is 3 miles per hour in still water so C is correct

y is the current or the speed of the water which is 2 miles per hour so b is correct

hopes this helps

Answer:

D

Step-by-step explanation:

the theoretical probability is a fancy term for an even amount of both, which would be 20 flips landing on H, and 20 landing on T. Since the question is asking what's the difference between the theoretical probability and the experimental results, you'd take 20(theoretical number of flips that land on H) and subtract 15 (experiment results for the amount of flips that land on H), and 20 - 15 = 5. Now that you know the difference is 5, you would divide 5 by 40 to find the answer. 5/40 = 1/8 when you simplify, making the answer D.

We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

To know more about  coordinates  follow the link:

https://brainly.com/question/31306451

#SPJ11

Answer:

No solution

Step-by-step explanation:

2(9x-5)=6(3x+4)

Step 1 is to do distributive property.

so you will get this:

18x-10=18+24

step 2 is combining like terms.

so you will subtract 24x from both sides.

(this:) 18x-10=18x+24

(into this:) -10=24

I got this because when you subtract 18 from 18 you will get zero (0).

So your answer will be:

No solution

the maximum value of the function is y = -1 + 6cos(2π/7(26.75-5)) = 5.

The function y = -1 + 6cos(2π/7(x-5)) is a periodic function with a period of 7. The maximum value of the function occurs when the cosine function reaches its maximum value of 1.

So, we need to find the value of x that makes the argument of the cosine function equal to an odd multiple of π/2, which is when the cosine function is equal to 1.

2π/7(x-5) = (2n + 1)π/2, where n is an integer

Simplifying this equation, we get:

x - 5 = (7/4)(2n + 1)

x = 5 + (7/4)(2n + 1)

Since the function has a period of 7, we can restrict our attention to the interval [5, 12].

For n = 0, we get x = 5 + 7/4 = 23/4

For n = 1, we get x = 5 + (7/4)(3) = 26.75

For n = 2, we get x = 5 + (7/4)(5) = 33.25

For n = -1, we get x = 5 + (7/4)(-1) = 1.75

For n = -2, we get x = 5 + (7/4)(-3) = -4.75

Out of these values of x, the only one that lies in the interval [5, 12] is x = 26.75.

To know more about function visit:

brainly.com/question/30721594

#SPJ11

Answer: 4 sets

Step-by-step explanation:

Answer:

He can buy 4 sets of strings.

Step-by-step explanation:

If each set is 5 dollars then you multiply that by 4 and you get 20. You have 2 dollars left and you cant buy anymore sets.

Please mark brainliest.

Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?

Answer:

Step-by-step explanation:

(12.9-3.1)*6.2-2+43  PEDMA

9.8*6.2-2+43  Parenthesis

60.76-2+43  Multiply

101.76  add and subtract

The coefficient of determination (R²) for the fitted least squares line is 0.75.

To fit the least squares line through the given points and find the coefficient of determination (R²), we can follow these steps:

Let's perform these calculations:

Step 1: Calculate the mean values of x and y.

x' = (1 + 2 + 3) / 3 = 2

y' = (1 + 1 + 3) / 3 = 5/3 ≈ 1.6667

Step 2: Calculate the sums of squares: SSxx, SSyy, and SSxy.

SSxx = Σ((xi - x')²) = (1 - 2)² + (2 - 2)² + (3 - 2)² = 2

SSyy = Σ((yi - y')²) = (1 - 5/3)² + (1 - 5/3)² + (3 - 5/3)² = 8/3 ≈ 2.6667

SSxy = Σ((xi - x')(yi - y')) = (1 - 2)(1 - 5/3) + (2 - 2)(1 - 5/3) + (3 - 2)(3 - 5/3) = 4/3 ≈ 1.3333

Step 3: Calculate the slope (m) and y-intercept (b) of the least squares line.

m = SSxy / SSxx = 1.3333 / 2 = 2/3 ≈ 0.6667

b = y' - mx' = 5/3 - (2/3)(2) = 5/3 - 4/3 = 1/3 ≈ 0.3333

Therefore, the equation of the least squares line is y = 0.6667x + 0.3333.

Step 4: Calculate the predicted y-values (y_pred) using the least squares line equation.

For (1, 1):

y_pred = 0.6667 × 1 + 0.3333 = 0.6667 + 0.3333 = 1

For (2, 1):

y_pred = 0.6667 × 2 + 0.3333 = 1.3334 + 0.3333 ≈ 1.6667

For (3, 3):

y_pred = 0.6667 × 3 + 0.3333 = 2 + 0.3333 ≈ 2.3333

The predicted y-values are (1, 1), (2, 1.6667), and (3, 2.3333).

Step 5: Calculate the residual sum of squares (RSS) and the total sum of squares (TSS).

RSS = Σ((yi - y_pred)²) = (1 - 1)² + (1 - 1.6667)² + (3 - 2.3333)² ≈ 0.6667

TSS = SSyy = 8/3 ≈ 2.6667

Step 6: Calculate the coefficient of determination (R²) using the formula: R² = 1 - (RSS / TSS).

R² = 1 - (0.6667 / 2.6667) = 1 - 0.25 = 0.75

Therefore, the coefficient of determination (R²) for the fitted least squares line is 0.75.

Learn more about least squares line click;

https://brainly.com/question/30403468

#SPJ4

Answer:

$60

Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

We need 9 more $2 bills than $5 bills, so:

t = 9 + v

We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:

5v + 45 = 2t

Plug v + 9 in for t in 5v = 2t + 18:

5v = 2t + 18

5v = 2 * (9 + v) + 18

5v = 18 + 2v + 18

3v = 36

v = 12

We have 12 $5 bills, so that total cost is 12 * 5 = $60.

~ an aesthetics lover

The pros and cons of Kernel Density Estimation (KDE) over histogram has been compared and advantage and disadvantage to each has been given.

Kernel Density Estimation (KDE) and histograms are both methods used for visualizing and estimating probability density functions.

KDE offers advantages such as its ability to capture smooth and continuous distributions, while histograms have benefits like simplicity and ease of interpretation.

However, KDE can be computationally intensive, and histograms may suffer from binning bias.

Kernel Density Estimation (KDE) is a non-parametric method used to estimate the probability density function of a random variable. It offers several advantages over histograms.

Firstly, KDE is able to capture smooth and continuous distributions, providing a more accurate representation of the underlying data.

Additionally, KDE does not rely on binning, allowing for a more precise estimation of the density at any point.

Furthermore, KDE can handle missing or irregularly spaced data.

On the other hand, histograms have their own advantages. They are simple and intuitive, making them easy to understand and interpret.

Histograms also tend to be less computationally intensive compared to KDE, making them suitable for large datasets.

Moreover, histograms can reveal the presence of outliers or gaps in the data due to the discrete nature of the bins.

However, there are also drawbacks to consider. KDE can be computationally intensive, especially for large datasets, requiring more processing power and time compared to histograms.

This can be a limitation when dealing with real-time or interactive applications. In contrast, histograms suffer from binning bias, where the choice of bin size can affect the visual representation and interpretation of the data.

Selecting an inappropriate bin size can lead to either over-smoothing or over-detailing the data distribution.

In summary, KDE offers advantages in capturing smooth distributions and avoiding binning bias, but it may be computationally intensive.

Histograms, on the other hand, are simple and computationally efficient but can suffer from binning bias.

The choice between KDE and histograms depends on the specific characteristics of the data and the objectives of the analysis.

Learn more about Probability here:

https://brainly.com/question/15052059

#SPJ11

Combining both cases, we find that the solution to the absolute value inequality is n ≤ -5.5 or n ≥ 4.5.

The absolute value inequality for the given sentence is |2n - (-1)| ≥ 10. This can be simplified as |2n + 1| ≥ 10.

To solve the inequality, we consider two cases:

Case 1: (2n + 1) ≥ 0

In this case, the inequality becomes 2n + 1 ≥ 10. Solving for n, we subtract 1 from both sides: 2n ≥ 9. Dividing both sides by 2 gives n ≥ 4.5.

Case 2: (2n + 1) < 0

In this case, we consider the absolute value of a negative number, which is equal to the positive opposite of that number.

Thus, the inequality becomes -(2n + 1) ≥ 10. Solving for n, we multiply both sides by -1 and reverse the inequality sign: 2n + 1 ≤ -10. Subtracting 1 from both sides, we get 2n ≤ -11. Dividing both sides by 2 gives n ≤ -5.5.

Combining both cases, we find that the solution to the absolute value inequality is n ≤ -5.5 or n ≥ 4.5.

Learn more about Absolute Value here:

https://brainly.in/question/9857633

#SPJ11

Answer:

Andre is taller than Diego

Step-by-step explanation:

There are 100 cm in a meter. If we use this information and convert Diego's height to meters, we find that Diego is 1.65 m. This is a smaller number, and therefore, Diego is shorter than Andre.

To get rid of a fraction with a variable in the denominator, multiply both the numerator and denominator by that variable. This technique is very useful in simplifying complex fractions and solving equations involving fractions. To get rid of a fraction with a variable in the denominator

To get rid of a fraction with a variable in the denominator, you can use the technique of multiplying both the numerator and the denominator by the variable that is in the denominator. This will result in the variable canceling out from the denominator, leaving only the numerator.


Identify the variable in the denominator and the value of its exponent. For example, in the fraction 1/(x^2), the variable is x and the exponent is 2. Multiply both the numerator and denominator by the same power of the variable that is present in the denominator. In our example, multiply the numerator and denominator by x^2: (1 * x^2)/(x^2 * x^2). simplify the resulting expression by canceling out common terms between the numerator and denominator. In this case, x^2 in the numerator and denominator cancel out, leaving 1/(x^2) as the simplified answer without a variable in the denominator.

To know more about denominator visit:-

https://brainly.com/question/29148239

#SPJ11