At a pizza resturant they have a choice of 20 toppings. If a customer choosea two topping pizza find the probability that they ordered a pepperoni and sausage

Answer:

it would be 5 divided by 280 and then that would tell u the answer 56 so it would be 56 feet. I hope this worked have a nice day.

Step-by-step explanation:

Answer:

x = 5 1/3 hours

Step-by-step explanation:

Let

x = number of hours Mia fills the pool

y = number of hours Lora fills the pool

x + y = 16

Lora fills the pool twice as fast as mia.

y = 2x

Substitute y =2x into the equation

x + y = 16

x + 2x = 16

3x = 16

x = 16/3

x = 5 1/3 hours

x = number of hours Mia fills the pool =5 1/3 hours

If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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Answer:

X=28

Step-by-step explanation:

4x+248=360

112=4x

x=28

Answer:

28

Step-by-step explanation:

Answer:

175 minutes

Step-by-step explanation:

30km in 35 minutes

×5 ×5

=150 km =175 mins

The time taken to travel 150 kilometers is 175 minutes.

It is required to find the time taken.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

You can travel  30km in 35 minutes.

According to given question we have,

30km = 35 minutes.

1 km= 35/30 minutes.

150 km=35*150/30 minutes

150 km  = 175 minutes

Therefore, the time taken to travel 150 kilometers is 175 minutes.

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Answer:

1/6561

Step-by-Step Explanation:

you get 1/6561 when you simplify 9^-4

Answer:

41.5675675676km/hour or 41.57km/hour

Step-by-step explanation:

158÷3.7=41.5675675676  or 41.57

The required solutions are x = 6/5 and x = -1/2 to the given quadratic equation 10x² - 7x - 6 = 0.

The quadratic equation is defined as a function containing the highest power of a variable is two.

The quadratic equation is given in the question:

10x² - 7x - 6 = 0

We have to determine all solutions to the given equation

As per the given question, we have

10x² - 7x - 6 = 0

10x² - 12x + 5x - 6 = 0

2x(5x - 6) + 1(5x - 6) = 0

(5x - 6)(2x + 1) = 0

Equating the above factors to zero, we get

5x - 6 = 0 and 2x + 1 = 0

5x = 6 and 2x = -1

x = 6/5 and x = -1/2

Therefore, the required solutions are x = 6/5 and x = -1/2 to the given quadratic equation 10x² - 7x - 6 = 0.

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Answer:

Where is the question

Step-by-step explanation:

Where is the question

Answer:

y= 21

Step-by-step explanation:

4y-42=2y

4y=2y+42

2y=42

y=21

Being 95% confident in an inference means that, based on the statistical analysis performed, there is a 95% probability that the true population parameter (in this case, μ) falls within the calculated confidence interval (in this case, (1000, 2100)).

Confidence intervals are used in statistics to estimate the true value of a population parameter (such as the mean, μ) based on a sample of data. In this case, the confidence interval is (1000, 2100).

The confidence level, in this case, 95%, represents the probability that the calculated confidence interval contains the true population parameter. This means that if the same statistical analysis were repeated multiple times, we would expect the true population parameter to fall within the confidence interval in approximately 95% of those repetitions.

The confidence interval is calculated based on the sample data and the chosen confidence level. In this case, the interval (1000, 2100) was calculated based on the sample data and a 95% confidence level.

The interpretation of the confidence interval (1000, 2100) is that there is a 95% probability that the true population parameter, μ, falls within this interval. It does not mean that there is a 95% probability that the interval contains the true value of μ; rather, the confidence level reflects the long-term frequency of intervals that will contain the true value of μ when similar analyses are repeated.

Therefore, based on the given information, we can conclude that being 95% confident in an inference means that there is a 95% probability that the true population parameter, μ, falls within the calculated confidence interval of (1000, 2100).

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b. The displacement over the interval  is  -8 meters.

c. Total distance traveled over the interval 0 is  40/3 meters.

To find the displacement over the given interval, we need to find the change in position of the particle. We can do this by integrating the velocity function over the intervals where the motion is in the positive and negative directions, and then adding these integrals together.

a) The velocity function is v(t) = t³ - 10t² + 24t, 0 < t < 8.

When 0 < t < 4, the particle is moving in the positive direction, so we integrate v(t) from 0 to 4:

∫₀⁴ (t³ - 10t² + 24t) dt = [t⁴/4 - 10t³/3 + 12t²]₀⁴= 16/3

When 6 < t < 8, the particle is also moving in the positive direction, so we integrate v(t) from 6 to 8:

∫₆⁸ (t³ - 10t² + 24t) dt = [t⁴/4 - 10t³/3 + 12t²]₆⁸ = -32/3

When 4 < t < 6, the particle is moving in the negative direction, so we integrate v(t) from 4 to 6:

∫₄⁶ (t³ - 10t² + 24t) dt = [t⁴/4 - 10t³/3 + 12t²]₄⁶ = -8

Therefore, the displacement over the interval 0 < t < 8 is:

Δx = 16/3 - 32/3 - 8 = -24/3 = -8 meters.

b) To find the distance traveled over the given interval, we need to add up the total distance traveled in the positive direction and the total distance traveled in the negative direction.

The total distance traveled in the positive direction is:

∫₀⁴ |t³ - 10t² + 24t| dt = ∫₀⁴ (t³ - 10t² + 24t) dt = 16/3

The total distance traveled in the negative direction is:

∫₄⁶ |t³ - 10t² + 24t| dt = ∫₄⁶ (10t² - t³ - 24t) dt = 8

The total distance traveled over the interval 0 < t < 8 is therefore:

d = 16/3 + 8 = 40/3 meters.

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Answer:

since triangle AED similar to ACB

CE=19cm mid point bisect it

BD=32Cm mid point bisect it

Step-by-step explanation:

BC=2DE=2×39=78Cm

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

15

Step-by-step explanation:

If -3 and -5 are the x intercepts, then (x+3) and (x+5) are factors

f(x) = (x+3)(x+5)

Expand

f(x) = x² + 5x + 3x + 3(5)

f(x) = x²+8x + 15

Equate x²+8x + 15 with x²+8x

x²+8x + 15 = x²+8x + b

On comparing

15 = b

Swap sides

b = 15

Hence the constant term is 15

Answer:

15

Step-by-step explanation:

HAVE A NICE DAY

A pentagonal prism is a 3-dimensional shape with two pentagons as its base, five rectangular faces, and nine edges. It has ten vertices, five on each pentagon.

A pentagonal prism is a 3-dimensional shape with two parallel pentagons as its base. It has five rectangular faces, each with a pentagon at each end, and nine edges which connect the five faces. The pentagonal prism has ten vertices in total; five on each pentagon. The pentagons are in the same plane, with the rectangular faces in between them extending outwards. The pentagonal prism is a polyhedron, meaning that it has flat faces and straight edges. The edges of a pentagonal prism are all the same length, and each of its rectangular faces has the same area. The height of the prism is the distance between the two pentagons. Pentagonal prisms can be used to make various objects such as boxes, and can also be used to make tessellations.

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The correct answer is 'the projected misstatement of this sample was $6,000.'

An auditor cannot obtain absolute assurance that material misstatements in the financial statements will be find out.

The purpose of intentional misstatements or omissions of amounts or disclosures in financial statements is to deceive the users of financial statements. These misstatements result from fraudulent financial reporting.

Misstatements arising from the misappropriation of assets (sometimes referred to as defalcation) involve the theft of an entity's assets where the effect of the theft causes the financial statements not to be represented in conformity with generally accepted accounting principles.

The risk of a material misstatement of the financial statements as a result of fraud should be expressly assessed by the auditor, and the audit processes should be designed with that judgement in mind.

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From the given information provided,  the function f(x) is: \(f(x) = (\frac{1}{3})(ln(x))]^3 + 2 - [(\frac{1}{3})(ln(5))]^3\)

Finding a function's integral is a step in the mathematical process of integration. A new function called the integral of a function describes the region of the original function's curve that is under consideration.

Calculus, physics, and statistics are just a few of the mathematics, scientific, and engineering fields where integration is applied. It is used to resolve issues with computing the volume of a solid, determining the average value of a function over a specific range, and determining the area under a curve.

To find the function f(x), we need to integrate the derivative f'(x):

\(f(x) = \int \frac{ln(x)^2}{x} dx\)

Using u-substitution with u = ln(x), we have:

\(\frac{du}{dx} = \frac{1}{x}\)

⇒ \(dx = x du\)

Substituting this value into the integral, we get:

\(f(x) = \int u^2 du\)

\(= (\frac{1}{3})u^3 + C\)

\(= (\frac{1}{3})(ln(x))^3 + C\)

Where C is the constant of integration.

To find C, we use the fact that f(5) = 2:

\(f(5) = (\frac{1}{3})(ln(5))^3 + C = 2\)

Solving for C, we get:

\(C = 2 - (\frac{1}{3})(ln(5))^3\)

Putting the value of C in the integral, we get the required function

\(f(x) = (\frac{1}{3})(ln(x))]^3 + 2 - [(\frac{1}{3})(ln(5))]^3\)

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Given the expression:

We have, for the cases when x=5,10 and 15:

therefore, if x= 5, then y= -29/2, if x=10, then y=-33 and if x=15, then y=-101/2

Based on the rating factor of 75%, the normal time for the job element would be 11.19 seconds.

When given the rating factor, the normal time can be found as:

= Average time for the job element x Rating factor

Average time for the job factor is:

= [(10 x 18) + (15 x 25) + (20 x 17)] / (18 + 25 + 17)

= 14.92 seconds

The normal time for the job element is therefore:

= 14.92 x 0.75

= 11.19 seconds

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The total possible combination of ordered pairs from the element of the given set is 9

To find the ordered pairs of the equation, we simply have to find the total possible combinations from the element of the set.

The element of set given is x ∈ {-1, 0, 1}

The possible combinations of x ∈ {-1, 0, 1} are;

(-1, -1)

(-1, 0)

(0, -1)

(1, 1)

(-1, 1)

(1, -1)

(0, 1)

(1, 0)

(0, 0)

We have 9 possible ordered pairs

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Answer:

C.

Step-by-step explanation:

olivia (x) is seven more than sean and liam or whoever

Answer:

556.5

Step-by-step explanation:

318 divided by 4

take that number and multiply by 7

Answer:

557

Step-by-step explanation:

318:4=x:7

x=318x7/4

The blanks can be filled this way:

1. Multiply the radius by the height of the cylinder.

If given the diameter of the base, divide by 2 to find the radius.

Formula V = πr²h

2. Volume of cones: Formula V = V=1/3hπr²

3. Volume of spheres: Formula V = V = 4/3 π r³

To find the volume of a cylinder, you have to multiply the square of the radius with the height and pie. This formular is represented this way: V = πr²h.

Also, the volume of cones can be found by multiplying the heing, radius, and pie. The formula is given as V=1/3hπr². Finally, the volume a of sphere is found with the formula: 4/3 π r³.

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The proof here would be based on the use of the Pythagoras theorem in trigonometry.

In a triangle getting the altitude or height will result to producing a right angled triangle. In trigonometry, a right angled triangle have the sides as the hypotenuse, the adjacent and the opposite. in this case the altitude is either the opposite or adjacent.

From Pythagoras Theorem, the hypotenuse. equals the square root of the sum of squares of the other two sides. hence is the longer side. Each leg of this triangle would be shorter than the hypotenuse. The two sides that meet at the vertex are the adjacent or the opposite and the hypotenuse.

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Answer:

this is so you can give brainliest

Step-by-step explanation:

The term 'GDP Gap' refers to the difference between the actual Gross Domestic Product (GDP) and the potential GDP of a country. It is a measure of the underutilization or overutilization of economic resources.

In the context of Australia's COVID-19 recession, the GDP Gap would indicate the extent to which the recession has impacted the country's economic output compared to its potential.

During a recession, the GDP Gap is usually negative, indicating a decline in economic activity. This gap arises due to factors such as decreased consumer spending, reduced investment, and increased unemployment. In the case of Australia, the COVID-19 pandemic triggered a significant economic plunge, leading to a confirmed recession.

The GDP Gap can be calculated by subtracting the actual GDP from the potential GDP. The potential GDP represents the level of economic output that could be achieved if all resources were fully employed. The larger the GDP Gap, the greater the underutilization of resources and the more severe the economic downturn.

The term 'GDP Gap' refers to the difference between actual GDP and potential GDP, and it is used to measure the extent of economic underutilization or overutilization. In the case of Australia's COVID-19 recession, the GDP Gap would indicate the negative impact of the recession on the country's economic output compared to its potential.

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The arc length is D) 3.14 meters.

What is arc length?

In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.

It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.

The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.

                                      \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

Here the give circle Radius PR = 3m and θ=60°.

Now using arc length formula then,

=> Arc length \(A_L=\frac{\theta}{360\textdegree}2\pi r\)

=> \(A_L=\frac{60}{360} \times2\times3.14\times3\)

=> \(A_L=\frac{1}{6}\times2\times3.14\times3\)

=> \(A_L\) = 3.14 m.

Hence the arc length is D) 3.14 meters.

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Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $28.512

What does kilowatt-hour mean?

The rate of consumption of energy is measured in kilowatt-hour.

In the given question

11 cent is paid per kilowatt-hour.

60 watts of light for 1 hour = 0.06 KWh

3 light bulbs of 60 Watts each for 1 hour = 3 x  0.06

                                          = 0.18 KWh

But,

30 days = 30 x 24 hours

                       = 1440 hours

The total energy consumed for the month = 1440 x 0.18

                                     =  259.20 KWH

The total cost for the month = 0.11 x 259.20

                                              = $28.512

Thus, the total cost for the month is $28.512

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