the response times on an online computer terminal have approximately a gamma distribution with mean four seconds and variance eight seconds2 . a write the probability density function for the response times.

The explanation is given below:

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

The graph you have plotted is correct.

But it hasn't been consider the x- integer.

By looking the graph closely,

the graph is in III quadrant, in III quadrant x and y both are negative.

Let us take the first point (-6, -2).

So, here x is (-6) and y is (-2).

Hence, there are both integers are located in the graph.

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The measure of QR is  mathematically given as

QR=4

This is further explained below.

Generally, The transformation is defined as

(x, y)--->(x+3 *y-1) --->(3 x, 3 y)

The translation is the first change, while dilatation is the second.

A stiff transformation is a translation. It denotes a match between the matching sides of the picture and the preimage.

A definition of dilation is

(x, y) --> (k x, k y)

In conclusion, under the given rule it is clear that the value of k is 3 which means the dilation factor is 3. It means the corresponding sides of the image are 3 times the preimage.

k=W X/Q R

3=12/Q R

Q R=4

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CQ

△PQR maps to △VWX with the transformation (x, y) (x + 3, y − 1) (2x, 2y).

If WX = 12, what does QR equal?

Answer:

The answer should be 34.33 times.

Step-by-step explanation:

If it weighs up to 3 grams, that should be the answer. However, if it is 10 grams, the answer would be 10.3 times. I hope this helps

Answer:

Step-by-step explanation:

One factor that could make a source unreliable is the presence of an inaccurate fact on a page of an article.

When evaluating the reliability of a source, accuracy is a crucial factor. If an article contains an inaccurate fact, it raises doubts about the credibility and trustworthiness of the information presented. Inaccurate facts can lead to misinformation and can potentially mislead readers or misrepresent the subject matter.

On the other hand, the presence of a group of non-experts disagreeing with the data published in an article does not necessarily make the source unreliable. Disagreements among individuals, whether they are experts or non-experts, are common in various fields. It is important to consider the reasons and evidence behind the disagreement before assessing the reliability of the source.

Similarly, the fact that only non-experts corroborate the data in an article does not automatically render the source unreliable. While expert opinions and consensus are valued, non-experts can still provide valuable insights and contribute to the understanding of a topic. Their perspectives and experiences can bring diversity to the discussion. However, it is essential to critically evaluate the credibility and expertise of the sources supporting the data.

Lastly, the presence of typos in an article, while not ideal, does not necessarily impact the reliability of the source unless it significantly affects the clarity or understanding of the information being presented. Typos are typically considered as minor errors that can be corrected without undermining the overall integrity or accuracy of the content.

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The complete question is:

Which could make a source unreliable? (1 point)

There is an inaccurate fact on a page of an article.

A group of non-experts disagrees with the data published in an article.

Only non-experts corroborate the data in an article.

There are some typos in an article.

A translation is a congruent transformation along a vector such that each segment joining a point and its image has the same length as the vector and is parallel to the vector.

A translation is a type of congruent transformation in geometry that involves shifting an object or shape along a specific vector.

In a translation, every point and its corresponding image are connected by a segment, which has the same length as the vector and is parallel to the vector. The term you are looking for to fill the blank is "image."

During a translation, the object or shape maintains its size, shape, and orientation, ensuring that it remains congruent to its original form. This transformation moves the object without changing any of its properties, except for its position in the coordinate plane. Since the segment joining each point and its image is parallel to the vector and has the same length, this ensures that the entire shape is shifted uniformly along the vector's direction.

In summary, a translation is a congruent transformation that shifts an object or shape along a vector, preserving its size, shape, and orientation. The segments connecting each point and its image have the same length as the vector and are parallel to it, ensuring a uniform shift in the object's position.

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The number of minutes that could have passed if the pool now has less than 74 gallons of water left is greater than 9 minutes.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The amount of water remaining in the pool after x minutes is given by:

110 - 4x

We want to find the number of minutes, x, such that the pool now has less than 74 gallons of water left.

110 - 4x < 74

To solve for x, we can first subtract 110 from both sides of the inequality:

-4x < 74 - 110

Simplifying, we get:

-4x < -36

Divide both sides of the inequality by -4,

x > 9

Therefore, the number of minutes that could have passed if the pool now has less than 74 gallons of water left is greater than 9 minutes.

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There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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Answer:

an = -3 · an - 1 where a1 = -1.

Step-by-step explanation:

The first term a1 = -1 and the common ratio is -3 so ecah term is formed form the previous one by multiplying by -3.

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

-48x²-116xy-56y² or

-4(12x²+29xy+14y²)

Step-by-step explanation:

A.

(7x+9y)(7x+9y)=

49x²+126xy+81y²

(x+5y)(x+5y)=

x²+10xy + 25y²

subtracted from means

x²+10xy + 25y² goes first

(x²+10xy + 25y²) - (49x²+126xy+81y²)

- (49x²+126xy+81y²) means

-1 times (49x²+126xy+81y²)

-1*(49x²+126xy+81y²) = -49x²-126xy-81y²

x²+10xy+25y²-49x²-126xy-81y²

-48x²-116xy-56y²

or

B.

sometimes its good to use real numbers

use x = 0 y = 1

(9)(9) is subtracted from (5)(5)

81-25=56

Answer:

86 degrees

Step-by-step explanation:

180-135=45

49+45=94

180-94=86

Answer:

\(189in^2\)

Step-by-step explanation:

\(\frac{14*18}{2}=\frac{252}{2}=126\)

\(3*21=63\)

\(126+63=189\)

Answer:

59689

Step-by-step explanation:

15 times 23= 345

345 times 17.3 = 59689

Answer:

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

114 divided by 19 equals 6

Answer:

5,500

Step-by-step explanation:

2,500 + 3,000:

2000 + 3000 + 500

5000 + 500

5500

Easy!

Answer:

16/26=8/13

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the denominator is double of 13, using that logic multiply 8 by 2 to get 16

Answer:

1/2

Step-by-step explanation:

Point Form:

(

3

4

,

−

2

,

1

2

)

Equation Form:

x

=

3

4

,

y

=

−

2

,

z

=

1

2

Pareto distribution is a member of a scale family referring fixed values of the shape parameter, it is trivially closed under scale transformations.

The Pareto distribution is a power-law probability distribution used in description of social, quality control, scientific, geophysical, actuarial, and many other types of observable phenomena. It was initially applied to demonstrate the distribution of wealth in a society, fitting the trend that a large portion of wealth is held by a small fraction of the population. The pareto principle or 80-20 rule states that 80% of outcomes are due to 20% of causes. Pareto distribution is a member of the scale family distribution which is parameterized by a scale parameter. The larger the scale parameter, the more spread out the distribution.

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Answer:

x = 1/2

Step-by-step explanation:

Step 1: Write equation

-4x + 6(4x - 3) = -8

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

The effect of an infinitesimally small increase in income on the consumer's maximized utility is zero. The consumer will continue to consume the same optimal bundle of goods, and their utility will not change.

To compute the effect of an infinitesimally small increase in income on the consumer's maximized utility, we can use the concept of marginal utility.

The consumer's utility function is given as U(x1, x2) = x1^2 * x2^3, where x1 represents the quantity consumed of good 1 and x2 represents the quantity consumed of good 2.

The consumer faces prices p1 = 4 and p2 = 5, and has an income of $200. We want to analyze the effect of a small increase in income on the consumer's maximized utility.

To find the consumer's optimal consumption bundle, we can set up the utility maximization problem subject to the budget constraint.

The optimization problem can be formulated as:

Maximize U(x1, x2) = x1^2 * x2^3

subject to the budget constraint: p1 * x1 + p2 * x2 = income

Substituting the given prices and income, we have:

4x1 + 5x2 = 200

To solve this problem, we can use the Lagrange multiplier method. Taking the partial derivatives of the objective function and the constraint, we obtain:

∂U/∂x1 = 2x1 * x2^3 = λ * 4

∂U/∂x2 = 3x1^2 * x2^2 = λ * 5

Dividing the two equations, we get:

(2x1 * x2^3) / (3x1^2 * x2^2) = 4/5

Simplifying, we have:

2x2 / 3x1 = 4/5

Cross-multiplying and rearranging, we get:

10x2 = 12x1

Dividing by 2, we have:

5x2 = 6x1

This equation represents the consumer's optimal consumption bundle.

Now, let's analyze the effect of an infinitesimally small increase in income on the consumer's maximized utility. Since the increase in income is infinitesimally small, it can be represented by δY, where δ represents a very small change.

To compute the effect, we need to compute the derivative of the utility function with respect to income (dU/dY) and evaluate it at the consumer's optimal consumption bundle.

Taking the derivative of the utility function with respect to income, we have:

dU/dY = ∂U/∂x1 * ∂x1/∂Y + ∂U/∂x2 * ∂x2/∂Y

Since x1 and x2 are the quantities of goods consumed, their derivatives with respect to income are 0.

Therefore, dU/dY = 0.

This means that an infinitesimally small increase in income has no effect on the consumer's maximized utility. The consumer will continue to consume the same optimal bundle of goods, and their utility will remain unchanged.

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Answer:

easy bro go and use m-a-t-h w-a-y

Step-by-step explanation:

it's going to help

Answer:

1/18

Step-by-step explanation:

There are 2 x 3 x 3 = 18 combinations of coffee.  Only one is large, iced and

hazelnut

So, the probability is 1/18

Answer:

m+p/2=n

Step-by-step explanation:

You can't get any other multiplication factor, so the only way is to isolate n, by adding p to m and dividing by 2

You actually need a number line for this math sheet.

If you have symbols that look like this, ≥ ≤ then you would need a closed point like this • . If there is no line under the greater than or less than symbol, then you would need an open point, like this ○. This is not much of an answer than it is an explanation, but I hope it helps.

Answer:

2

Step-by-step explanation:

one bounce=10

2 bounce=5

it halves each time

If a tennis ball is dropped from a height of 20 feet, then it bounces twice, each time falling to half its original height. The distance of 5 feet will require two bounces.

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

It is given that, a tennis ball is dropped from a height of 20 feet, and bounces to half its previous height each time.

The number of bounces it will take the tennis ball to reach 5 feet will be,

Since the one bounce leads to a bounce of 10 feet. The 2 bounces will take the tennis ball to reach 5 feet.

Thus, if a tennis ball is dropped from a height of 20 feet, then it bounces twice, each time falling to half its original height. The distance of 5 feet will require two bounces.

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Answer:

equilateral

Step-by-step explanation:

A shape is equilateral if all the sides are the same length. In geometry class, people learn about many shapes, such as triangles and squares. A square is equilateral, because all of its sides are the same length. ... The word equal should help you remember what equilateral means.

Answer:

An isosceles triangle has 2 sides of equal length . The dashes on the lines show they are equal in length. The angles at the base of the equal sides are equal.An equailateral triangle has 3 sides of equal length.