A continuous probability distribution is characterized by:_____.a. a continuum of possible values. b. an array of individual values. c. counts. d. a list of possible values.

Answer:

100-(12+28+12+15)

100-(67)

100-67=33

Step-by-step explanation:

I think it 10

Hope that helps

Answer:

72 of riding the bike and 96 of jogging

Step-by-step explanation:

basically you need to do 6 x 12 and 8 x 12 because it is in two weeks so you divide 24 by 2 and get 12 then multiply 8 x 12 and then 6 x 12

The measure of a central angle of a regular polygon with 24 sides is 15 degrees.

A polygon is a two-dimensional geometric shape that is defined by a closed chain of line segments, also known as sides. These line segments must be joined end to end to form a closed shape, with no curves or self-intersections. The word "polygon" comes from the Greek words "poly" meaning "many" and "gon" meaning "angle".

To find the measure of a central angle of a regular polygon with 24 sides, we can use the formula:

central angle = 360 degrees / number of sides

Substituting the given value, we get:

central angle = 360 degrees / 24 = 15 degrees

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To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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Answer: Right

Step-by-step explanation: You have 3 angles, two are less than 90 degrees while the other is exactly 90, that would make this a right triangle.

Answer:

x = 0, y= -16

Step-by-step explanation:

Okay, we can use elimination to do this. Add the two equations together to get rid of one of the variables. 7x and -7x cancel each other out, so we are left with y+y= -32. If y+y is -32, then y= -16. Let's plug that back one of the equations. I'll choose the first equation. 7x +(-16) = -16. We can simplify that to 7x - 16= -16. Okay, we add 16 to both sides which gets us 7x=0. From this, we can infer that x=0 because 0x7=0. Now we have the answer, x=0, and y= -16. I hope this helps!

In this question, we are given a consumer with a utility function and a budget set defined by prices and income. We are asked to analyze various aspects related to the consumer's optimization problem, including drawing indifference curves.

Aproving the compactness of the budget set, analyzing changes in the budget set, solving the consumer's optimization problem using the KKT formulation, and discussing the differentiability of optimal demand with respect to income.

(a) The indifference curve that achieves a utility level of -1 can be obtained by setting the utility function equal to -1 and solving for x and y. Plotting the resulting equation will give us the shape of the indifference curve. The concavity of the utility function determines whether it is quasi-concave or not. If the utility function is concave, then the indifference curves will be convex, indicating that it is quasi-concave.

(b) To prove that the budget set B is compact, we need to show that it is closed and bounded. Closedness can be demonstrated by showing that the complement of B is open. Boundedness can be shown by demonstrating that there exists a finite number M such that the Euclidean distance between any point in B and the origin is less than or equal to M.

(c) When p = 0, the budget set reduces to the entire two-dimensional space, as there are no price constraints. In this case, the budget set is not compact since it is unbounded.

(d) To obtain a solution to the consumer's optimization problem using a diagram, we can plot the budget set and indifference curves. The optimal consumption bundle will be the point where the budget line is tangent to the highest possible indifference curve within the budget set. This tangency point represents the maximum utility the consumer can achieve given the budget constraints.

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Pythagoras's theorem provides a simplification of thee relationship between the sides of a right triangle

Reason:

Known parameters:

Length of the diagonal of the television picture, d = 10 cm

Television screen viewing area, A = 48 cm²

Required:

To find the length and width of the screen

Solution:

Let, L, represent the length of the screen, and let W represent the width of the screen

Considering the right triangle formed by the length, L, the width, W, and a line along the diagonal, d, according to Pythagoras's theorem, we have;

d² = L² + W²

The equation for the area of the screen is A = L × W

Plugging in the known values into the two equations above gives;

10² = L² + W²...(1)

48 = L × W...(2)

From equation (2), we have;

\(W = \dfrac{48}{L}\)...(3)

By substituting the expression for W in equation (3) above into equation (1) gives;

\(10^2 = \left(\dfrac{48}{L} \right)^2 + L^2 = \dfrac{48^2}{L^2} + L^2\)

10²·L² = 48² + L²⁺² = 48² + (L²)²

Let X represent L², we get;

X = L²

10²·X = 48² + X²

X² - 10²·X + 48² = 0

(X - 64)·(X - 36) = 0

∴ X =  L² = 64 or 36

The longest side is the length, therefore, the length of the screen, L = 8 cm

From \(W = \dfrac{48}{L}\), and L = 8, we have;

The width of the screen, W = 6 cm

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Answer:

5 weeks

Step-by-step explanation:

$18 / week

goal is $90

18x = 90

90/18 = 5

18(5) =90

It will take him 5 weeks to save enough money to buy the skateboard

Answer:

The slope is 4/5

Step-by-step explanation:

m = rise/run

(-3,1) and (2,-3)

4/5

m = 4/5

Answer: D.  (-infinity, 2)

This is the interval \(-\infty < x < 2\)

On this interval, the function curve is going downhill as you read it from left to right.

More technically, the function is decreasing on this interval because f(a) > f(b) where a < b. For example, f(0) > f(2) and note that 0 < 2.

Answer:

w = 54°

Step-by-step explanation:

The inscribed angle w is half the measure of its intercepted arc, that is

w = \(\frac{1}{2}\) × 108° = 54°

System sequence diagram is the best model to use to document the inputs and the outputs to a system.

In the realm of software engineering, a sequence diagram, also known as a system sequence diagram (SSD), depicts process interactions grouped in chronological order. It illustrates the processes involved and the order in which messages must be exchanged for the processes to provide the functionality. In the 4+1 architectural perspective model of the system under development, sequence diagrams are often connected to use case realizations. Event diagrams and event scenarios are other names for sequence diagrams.

The diagrams display the events that external actors produce, their order, and any potential inter-system events for a given scenario of a use case. [1] The diagram emphasizes events that cross the system boundary from actors to systems and treats all systems as black boxes. The main success scenario of the use case, as well as frequent or complex alternate situations, should be represented using a system sequence diagram.

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Answer: x=-3, y=2

Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2

Answer:

(-3,2)

Step-by-step explanation:

You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing

Simultaneous is easier so lets get started.

1st equation  : \(-2x+y=8\)

2nd equation: \(-3x-y=7\)

We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.

Like, take the 1st equation

\(-2x+y=8\\y=8+2x\)

the equation is arranged in a different manner but its the same thing.

This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation

\(-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3\)

we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.

\(y=8+2x\\y=8+2(-3)\\y=8-6\\y=2\)

The solution set of our system of linear equations is

(-3,2)

Answer:

n + 3 = 8

Step-by-step explanation:

"n" is the number, "Three more than a number is 8" means that the question is a addition equation. Three more than "n" means plus 3 to n. In this case, we already know it's an addition equation and 8 is the sum, so the equation will be:

n + 3 = 8

or

3 + n = 8

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

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

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer: Yes, is the same ratio.

Explanation:

For the girls we have that out of the 30 that tried out for the team, 12 were selected. The ratio for the girls is:

(we simplify 12/30 by dividing the numerator and denominator by 6)

For the boys we have that out of the 40 that tried out for the team, 16 were selected. The ratio for the boys is:

(we simplify 16/40 by dividing the numerator and denominator by 8)

We can see that the ratio of the number of students on the team to the number of students trying out is the same for girls and boys.

Answer:

Transitive property of congruence

Step-by-step explanation:

If two shapes are congruent to the third shape, then all the shapes are congruent to each other.

I hope my answer helps you.

Answer:

Transitive property of congruence

Step-by-step explanation:

The transitive property of congruence states that two objects that are congruent to a third object are also congruent to each other.

Answer: The position of -24 is to the left of -14.

The position of -14 is to the right of -24.

Step-by-step explanation:

We can conclude that -18 < -2.

We can conclude that -14> -24.

Answer:

temperature ≤ 6

Step-by-step explanation:

The highest temperature in February was 6°F. Write and graph an inequality to represent this situtation.

If the maximum temperature was 6, then the temperature reached no more than six, while still reaching 6.  Thus, the inequality should be

temperature ≤ 6

The graph would be a filled dot on the 6 pointing towards the left side of the graph (towards the -10 side)

The temperature indoors and outdoors the same after 16 minutes

The function is given as

f(x) = -5log4 (x-15)

When the temperatures are equal, we have

f(x) = 0

So, the equation becomes

-5log4 (x-15) = 0

Divide by -5

So, we have

log4 (x-15) = 0

Take the exponent of both sides

x - 15 = 4^0

So, we have

x - 15 = 1

Evaluate

x = 16

Hence, the time is 16 minutes

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Answer:

speed, brainliest pls

Step-by-step explanation:

The price vectors a. p₁ = 3 and p₂ = 2, Mary will consume only good 1.

Here we have the Utility function as

U(x₁ , x₂) = 3x₁ + x₂

From the given utility function we can clearly see that these goods are substitutes for each other

Now,

δU/δx₁ = 3

δU/δx₂ = 1

Hence we get the Marginal Rate of Substitution or MRS

\(=- \frac{\delta U/ \delta x_1 }{\delta U/ \delta x_2}\)

= -3

The MRS signifies that for every additional unit of 1, Mary is willing to give up 3 units of good 2

|MRS| = 3

For Mary to only consume good 1, |MRS| > p₁/p₂

Hence here we get the p/p ratio for the 4 price vectors to be

a. 3/2 = 1.5

b. 10/3 = 3.33

c. 4

d. 15.4 = 3.75

Hence we can clearly say that for the price vectors p₁ = 3 and p₂ = 2, Mary will consume only good 1.

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Answer:

Solution given;

angle =270°

radius [r]=8cm

we have

length of arc =270°/360°×2×π*r

=270°/360°×2×3.14*8=37.68cm

length of the arc is 37.68cm.

Step-by-step explanation:

no this is a test I cant hlep i will tell ms.jules you are searching for the answers

Answer:

I and II

Step-by-step explanation:

make it to general form and compare the gradient