What is the effect on the graph of the function f(x)=|x| when f(x) is changed to f(x)+5

The probability that a claim amount is less than or equal to 4, given that it follows a gamma distribution with a mean of 6 and variance of 12, can be calculated using the cumulative distribution function (CDF) of the gamma distribution.

The gamma distribution is a continuous probability distribution with two parameters: shape parameter (k) and scale parameter (θ). In this case, we are given the mean and variance of the gamma distribution, which can be related to the shape and scale parameters as follows:

Mean (μ) = kθ

Variance (σ²) = kθ²

From the given information, we have μ = 6 and σ² = 12. To find the parameters k and θ, we solve the above equations simultaneously:

6 = kθ

12 = kθ²

Dividing the second equation by the first equation, we get:

2 = θ

Substituting this value back into the first equation, we find:

6 = k * 2

k = 3

So, the parameters for the gamma distribution are k = 3 and θ = 2.

Now, we can use the CDF of the gamma distribution to calculate the probability that a claim amount is less than or equal to 4:

P(x ≤ 4) = CDF(4; k, θ)

By evaluating this expression using the values of k and θ we obtained, we can find the desired probability.

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Answer: should be the last answer! to the right.

Step-by-step explanation:

You have 30 coins and the d are dimes and q are quarters

Solution

David simplified a polynomial

For the first step

Open the brackets

The first step is correct.

For the second step

Collect like terms

The second step is correct

For the third step

Add up the like terms

The third step is correct.

Hence, David did not make a mistake

Answer: polar form

Step-by-step explanation:

Step-by-step explanation:

As the speed increases the time required to travel a distance is lessened.

 say you have to go 100 km

     if you go 20 km /hr it will take 5 hr....butif you increase your speed

( x axis) to 50 km/ hr it will take less time ....ony 2 hours    so the graph A is most representative       (look at the positive portion of the graph of

                                                   y = 100/x  )

Answer:

7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

y= mx+b

with m being slope and b being y-intercept

Answer:

5

Step-by-step explanation:

y=mx+b

b=5

The zeros for the expression is x <= 1

From the question, we have the following parameters that can be used in our computation:

-3x + 43/ x + 7 >= 5

Multiply both sides of the inequality by x + 7

So, we have the following representation

-3x + 43 >= 5x + 35

Evaluate the like terms

This gives

8 >= 8x

So, we have

1 >= x

This gives

x <= 1

Hence, the zeros is x <= 1

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The number of terms of the second arithmetic progression is 46.

The two arithmetic progression have the same first and last terms.

The first arithmetic progression has 21 terms with a common difference of 9.

The second arithmetic progression have common difference of 4.

Therefore,

using the first arithmetic progression,

a + (n - 1)d = nth term

a + 20(9) = last term

last term = a + 180

using the second arithmetic progression,

a + (n - 1)d = nth term

They have the same last and first term,

Hence,

a + 180 = a + (n - 1)4

a + 180 = a + 4n - 4

180 + 4 = 4n

184 = 4n

n = 184 / 4

n = 46

Therefore, the number of terms is 46

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Pat ran more miles by the end of the week with a total of 8.25 miles. Pat ran 0.5 miles more than Toby.

Algebra is a branch of mathematics that deals with mathematical expressions and equations, using letters and symbols to represent numbers and quantities. It involves the manipulation and solving of equations and inequalities involving variables.

In algebra, variables are represented by letters, usually x, y, or z, and they can represent any number or quantity. Algebraic expressions are formed by combining variables, numbers, and mathematical operations, such as addition, subtraction, multiplication, and division.

To determine who ran more miles by the end of the week, we need to calculate the total number of miles each person ran. We can do this by adding up the miles from each day:

Pat: 2.75 + 3 + 2.5 = 8.25 miles

Toby: 2 + 2.25 + 3.5 = 7.75 miles

Therefore, Pat ran more miles by the end of the week with a total of 8.25 miles. Pat ran 0.5 miles more than Toby.

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The complete question is:

Answer:

w = -12

Step-by-step explanation:

I think because you make the positive a negative so -6+-6 which is -12

Answer:

\(-\frac{3}{2}\)

Or

-1.5

Step-by-step explanation:

we assign y1, y2, x2, and x1 according

(x1,y1)=(3,5)

(x2,y2)=(1,8)

Now we fill it into the formula

5-8/3-1

-3/2

Hopes this helps please mark brainliest

Answer:

4^-10

Step-by-step explanation:

(4^-2)^5

4^-2 x 5

= 4^-10

hope this helped have fun doing school haha

Answer:

\(\frac{1}{32768}\)

Step-by-step explanation:

\((4^{-2})^{5}\)

\((\frac{1}{4^{2} }) ^{5}\)

\((\frac{1}{8})^{5}\)

\(\frac{1}{32768}\)

Answer:

1.94 ounces are in each bag.

Step-by-step explanation:

The total ounces of nuts in the bag is calculated as:

23 ounces of walnuts + 11.2 ounces of almonds + 14.3 ounces of cashews = 48.5 ounces.

From the question we are told that these amounts make 25 bags.

The number of ounces that are in each bag is calculated as:

25 bags = 48.5 ounces

1 bag = x ounces

Cross Multiply

25 bags × x ounces = 1 bag × 48.5 ounces

x ounces = 1 bag × 48.5 ounces/25 bags

x ounces = 1.94 ounces

Therefore, there are 1.94 ounces in each bag

Answer:

the answer is 90 i believe

Step-by-step explanation:

Answer:

area = 69 cm²

Step-by-step explanation:

pink figure is a parallelogram ( opposite sides are parallel)

white figure is a rectangle

the shaded area = area of parallelogram - area of rectangle

                            = 10 × 9 - (3 × 7)

                           = 90 - 21

                           = 69 cm²

The first and second derivatives of f(x) = cosh(x) at x = 2 can be estimated using forward, backward, and central difference methods with a step size of h = 0.01. The estimations are accurate up to 8 decimal places.

To estimate the first derivative using forward difference, we can use the formula:

f'(x) ≈ (f(x + h) - f(x)) / h

Substituting the values, we have:

f'(2) ≈ (f(2 + 0.01) - f(2)) / 0.01

≈ (cosh(2.01) - cosh(2)) / 0.01

Similarly, the first derivative can be estimated using backward difference with the formula:

f'(x) ≈ (f(x) - f(x - h)) / h

So, for x = 2:

f'(2) ≈ (f(2) - f(2 - 0.01)) / 0.01

≈ (cosh(2) - cosh(1.99)) / 0.01

For the estimation of the second derivative using the central difference, we can use the formula:

f''(x) ≈ (f(x + h) - 2f(x) + f(x - h)) / h^2

Substituting the values, we have:

f''(2) ≈ (f(2 + 0.01) - 2f(2) + f(2 - 0.01)) / 0.01^2

≈ (cosh(2.01) - 2cosh(2) + cosh(1.99)) / 0.0001

By evaluating these formulas, we can obtain numerical approximations of the first and second derivatives of f(x) = cosh(x) at x = 2 with a step size of h = 0.01.

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Answer:

x/25

Step-by-step explanation:

The difference between the numerator and denominator of the fraction parameters is 40

From the question, the fraction is given as

5/3

The above fraction can be represented as

5x/3x

This is so because of the following equation

5x/3x  = 5/3

The above is calculated by dividing the numerator and the denominator by the common factor x

Solving further, we have

Sum of the numerator and denominator = 160

This means that

5x + 3x = 160

Evaluate the sum in the above equation

So, we have

8x = 160

Divide both sides of the fraction by 8

So, we have

x = 20

The required difference is represented as

Difference = 5x - 3x

Evaluate

Difference = 2x

Substitute x = 20 in Difference = 2x

So, we have

Difference = 2 x 20

Evaluate

Difference = 40

Hence, the difference between the fraction parameters is 40

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Hey there! I'm happy to help!

SYSTEM #1

-4x+2y=22

-y=-3x-9

We can multiply both sides of the second equation by -1 to see what y equals.

y=3x+9

We can substitute this value for y into the first equation and solve for x.

-4x+2(3x+9)=22

We use distributive property to undo the parentheses.

-4x+6x+18=22

We combine like terms.

2x+18=22

Subtract 18 from both sides.

2x=4

Divide both sides by 2.

x=2

Our x has to be -4 to be the correct answer, so this option is incorrect.

SYSTEM #2

-4x+2y=22

y=-3x-9

We plug this y value into the first equation to solve for x.

-4x+2(-3x-9)=22

We use distributive property to undo the parentheses.

-4x-6x-18=22

We combine like terms.

-10x-18=22

Add 18 to both sides.

-10x=40

x=-4

We have the correct x-value to be the answer, so let's find the y-value by plugging our x-value into one of the equations.

y=-3(-4)-9

y=12-9

y=3

So, the solution of this system of equations is (-4,3), so the correct answer is 2. -4x+2y=22, y=-3x-9

Have a wonderful day! :D

they intesect at line a

True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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In a  given figure ,the area of the shaded part is 239.4 sq ft.

A parallelogram is a four-sided polygon in which opposite sides are parallel and equal in length. This means that the opposite sides of a parallelogram are parallel and that the opposite sides have the same length. In addition, the opposite angles of a parallelogram are equal in measure.

The area A of a parallelogram is given by the formula:

A = bh

where b is the length of the base of the parallelogram and h is the height (perpendicular distance) from the base to the opposite side.

The perimeter P of a parallelogram is given by the formula:

P = 2(l + w)

where l and w are the lengths of the two adjacent sides.

Some common examples of parallelograms in everyday life include rectangular mirrors, windows, and picture frames. Parallelograms are used in mathematics, engineering, and physics to model real-world situations, such as the forces acting on a block that is being pushed up an incline, or the motion of a satellite in orbit around the Earth.

The base of the figure is 23.8 ft
The height of the figure is 15 ft

Consider the figure as a parallelogram

Area of shaded region= A= A₁ - A₂

where,

A= area of shaded region

A₁= area of parallelogram

A₂= area of triangles

The area of triangle A₂= \(\frac{1}{2} *base*height\)
The area of parallelogram = base * height

By Pythagorean theorem,

Hypotenuse²= Base² + Height²

Base= 21, hypotenuse= 23.8

Height²= 23.8² + 21²

Height= √(566.44 - 441)

Height= 11.2

∴ Area of parallelogram = A₁ = (23.8)(15) sq ft= 357 sq ft

Area of triangle =  A₂  = \(\frac{1}{2} * 11.2 * 21\)= 117.6 sq ft

So,

The area of shaded part = 357- 117.6 = 239.4 sq ft

Hence,

The area of the shaded part is 239.4 sq ft.

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The criminal will go down the rope safely if his acceleration is less than 9.81 m/s^2.

To get down safely without breaking the rope, a criminal who wants to escape from the third storey window of a jail, by going down a rope to the road below and has a mass of 75 kg while the rope can only support 65 kg without breaking can use the following method :Step-by-step explanation:

Calculate the acceleration produced by the criminal and find the maximum tension the rope can withstand.

According to Newton's second law, F = ma .Frictional force (f) acts upward and it opposes the weight of the criminal. Therefore, F = mg - f. If the criminal is accelerating downwards at a constant rate, a, the tension in the rope (T) is given by T = m(g - a).

If a is positive, then the tension in the rope is greater than mg and the rope breaks.

If a is negative, then the tension in the rope is less than mg and the rope is safe.

Let's assume that the tension in the rope is just equal to the breaking point.

Then:65*9.81 = 75* a + 65 *9.81a = 6.74 m/s^2

The criminal will go down the rope safely if his acceleration is less than 9.81 m/s^2.

This means that he should create additional friction by wrapping the rope around his legs, to increase the force of friction acting upwards. By doing this, he will decrease the net force acting downwards and thus reduce his acceleration.

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Answer:

45 cause any value inside mod function always return to postive

The correct choice is (a) 6x - 5 as the derivative of f(x) = 3x^2 - 5x.

To find the derivative of the function f(x) = 3x^2 - 5x, we can use the power rule of differentiation.

The power rule states that if we have a function of the form f(x) = ax^n, where a and n are constants, then the derivative is given by f'(x) = nax^(n-1).

Applying the power rule to the given function f(x) = 3x^2 - 5x, we have:

f'(x) = 2(3)x^(2-1) - 1(5)x^(1-1)

     = 6x - 5x^0

     = 6x - 5(1)

     = 6x - 5

Therefore, the derivative of f(x) = 3x^2 - 5x is f'(x) = 6x - 5.

From the given options, the correct choice is (a) 6x - 5.

Let's briefly explain why the other options are incorrect:

(b) 6x + 5: This option has the incorrect sign for the constant term. The original function has a negative sign for the constant term (-5x), but this option has a positive sign (+5).

Therefore, this option is incorrect.

(c) 6x: This option is missing the constant term (-5x) present in the original function. Therefore, this option is incorrect.

To verify our answer, we can graph the original function f(x) = 3x^2 - 5x and its derivative f'(x) = 6x - 5.

The derivative represents the slope of the tangent line to the graph of the original function at any given point.

By comparing the slopes of the tangent lines to the graph of the original function, we can confirm that f'(x) = 6x - 5 is the correct derivative.

In conclusion, the correct choice is (a) 6x - 5 as the derivative of f(x) = 3x^2 - 5x.

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Answer: -1/4

Step-by-step explanation:

1-3= -2

-2/8 simplifies to -1/4  

Answer:

p.

Step-by-step explanation:

p is the independent variable.

The dependent one is h.

The value of h depends on the value of p.

Answer:

\(2\pi \times r = c\)

\(\pi \times {r}^{2} = a\)

A=5257.76

Step-by-step explanation:

Or use a calculator online.