the fast train from london to coventry travels at an average speed of 83 km per hour . how long would it take to travel the distance of the distance of 166 km

The mean absolute deviation is  calculated for both the 2-month and 3-month moving averages. The mean absolute deviation based on the 2-month average of March through April is $0.055, while the mean absolute deviation based on the 3-month average of April is $0.048. Based on the mean absolute deviation, the 3-month moving average performs better.

To calculate the forecast for March and April using a 2-month moving average, we take the average of the prices from January and February for the forecast of March, and the average of the prices from February and March for the forecast of April.

To calculate the forecast for April using a 3-month moving average, we take the average of the prices from February, March, and April.

The mean absolute deviation is calculated by taking the absolute difference between the forecasted prices and the actual prices for each month, and then calculating the average of these differences. This gives us a measure of the average deviation from the actual prices.

Based on the mean absolute deviation values, we can compare the performance of the 2-month and 3-month moving averages. A lower mean absolute deviation indicates better performance in terms of accuracy in predicting the chip prices.

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The population size of the protozoa after seven days, starting with an initial population of five members and a constant relative growth rate of 0.469 per member per day, can be calculated using the formula\(P(t) = 5 * e^{(0.469 * 7)\).

Part 1 of the question establishes that the relative growth rate of the protozoa population is 0.469 per member per day. This information helps us define the differential equation that represents the growth: dP/dt = 0.469P.

Part 2 introduces the exponential growth formula for population growth, which states that \(P(t) = P(0)e^{kt\) where P(t) is the population size at time t, P(0) is the initial population size, k is the growth rate, and e is the base of the natural logarithm.

To find the population size after seven days, we substitute the given values into the formula: \(P(t) = 5 * e^{(0.469 * 7)\). Evaluating this expression yields the final answer, which represents the population size of the protozoa after seven days.

Note: The calculation itself is not included in the answer as the model response is limited to explaining the approach.

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In the propositions above, "Alice" and "Bob" are specific examples of students in the class. The propositions can be generalized to any student in the class by replacing "Alice" and "Bob" with appropriate names or variables.

∃x P(x, "The Adventures of Tom Sawyer")

There exists a student in this class who has read "The Adventures of Tom Sawyer."

∀x P(x, "The Adventures of Huckleberry Finn")

Every student in this class has read "The Adventures of Huckleberry Finn."

¬∃x P(x, "The Prince and the Pauper")

There is no student in this class who has read "The Prince and the Pauper."

∃y P("Alice", y)

Alice has read a book written by Mark Twain.

¬∀y P("Bob", y)

It is not true that Bob has read every book written by Mark Twain.

Note: In the propositions above, "Alice" and "Bob" are specific examples of students in the class. The propositions can be generalized to any student in the class by replacing "Alice" and "Bob" with appropriate names or variables.

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When a fair die is rolled once, the events A and B are:

A = {2, 4, 6} (the event of rolling an even number)

B = {1, 3, 5} (the event of rolling an odd number)

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur.

The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes. For example, if we roll a fair six-sided die, the probability of rolling a 3 is 1/6, because there is only one favorable outcome (rolling a 3) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6).

When a fair die is rolled once, there are six possible outcomes: 1, 2, 3, 4, 5, or 6.

The event A of rolling an even number consists of the outcomes 2, 4, and 6. Therefore, we can represent A as:

A = {2, 4, 6}

The event B of rolling an odd number consists of the outcomes 1, 3, and 5. Therefore, we can represent B as:

B = {1, 3, 5}

Note that these events are mutually exclusive, which means that they have no outcomes in common. Specifically, an event cannot be both even and odd at the same time. Therefore, we can say that:

A and B are mutually exclusive events such that A ∩ B = ∅

In summary, when a fair die is rolled once, the events A and B are:

A = {2, 4, 6} (the event of rolling an even number)

B = {1, 3, 5} (the event of rolling an odd number)

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The statement which correctly describes the relationship between trapezoid ABCD and trapezoid A'B'C'D' is "Trapezoid ABCD ≅ trapezoid A'B'C'D'.

The correct answer option is option C

The coordinates of the vertices of trapezoid ABCD are A (2,6), B (5,6), C (7,1), and D (-1,1).

The coordinates of the vertices of trapezoid A'B'C'D' are A' (-6, -2),B' (-6, -5), C' (-1, -7), and D' (-1, 1).

Given trapezoid ABCD:

Parent coordinates of ABCD = A (2,6), B (5,6), C (7,1), and D (-1,1)

Translated coordinates of A'B'C'D' = A' (-6, -2),B' (-6, -5), C' (-1, -7), and D' (-1, 1).

Based on the reflection rule:

Reflection across x axis (x , y) -> ( x , -y) and rotating it 90°clockwise (x , y) -> ( -y, x).

Therefore, if trapezoid ABCD is reflected across the x-axis and then rotating it 90°clockwise

ABCD ≅ trapezoid A'B'C'D'

Complete question:

The coordinates of the vertices of trapezoid ABCD are A (2,6), B (5,6), C (7,1), and D (-1,1). The coordinates of the vertices of trapezoid A'B'C'D' are A' (-6, -2),B' (-6, -5), C' (-1, -7), and D' (-1, 1). Which statement correctly describes the relationship between trapezoid ABCD and trapezoid A'B'C'D' ?

A. Trapezoid ABCD ≅ trapezoid A'B'C'D'

You can reflect trapezoid ABCD across the x-axis and then across the y-axis.

B. Trapezoid ABCD ≅ trapezoid A'B'C'D'

You can rotate trapezoid ABCD 180°about the origin and then translating it 4 units left.

C. Trapezoid ABCD ≅ trapezoid A'B'C'D'

You can reflect trapezoid ABCD across the x-axis and then rotating it 90°clockwise.

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Answer:

CABD

Step-by-step explanation:

srry for late response mate i messed up half way thru

Here is your answer ^^

----------------------------------

C≈25.13cm

Explanation:

C=2πr

d=2r

Solving for C:

C=πd=π·8≈25.13274cm

-------------------------------------

Anyways bye! <3

Answer:

9 remainder 1

Step-by-step explanation:

Not sure but uh... 73/8=9 remainder 1.

Is this what you are looking for?

73 divided by 8 equals 9 with a remainder of 1.

To find the quotient and remainder when dividing 73 by 8, we perform long division.

Here's how it works:

We start by dividing the first digit of the dividend (7) by the divisor (8). Since 7 is smaller than 8, the quotient will be 0, and the remainder will be 7.

We bring down the next digit from the dividend, which is 3, making the new number 73.

Now, we divide 73 by 8. The largest multiple of 8 that fits into 73 is 9 (8 times 9 equals 72). So, the quotient becomes 9.

We subtract 72 (8 times 9) from 73, resulting in a remainder of 1.

Therefore, 73 divided by 8 equals 9 with a remainder of 1.

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Answer:

5

Step-by-step explanation:

Answer:

In explanation

Step-by-step explanation

Ok for me to tell you I'm going to give an example.

Data set=

40,50,60,30,105,19,40

For this data set our mode would be 40 because mode is the number that appears most in a data set and as you can see 40 appears twice while every other number only appears once.

For median=would also be 40.

Because median is the number that is in the middle when you sort them least to greatest so 40 is in the middle when you put them in least to greatest.

The maximum is 105

Because the maximum is the highest number in the data set so 105 is the biggest number.

Range is 86.

For range is the highest number subtracting the lowest number and highest number is 105 and lowest number is 19 so 105 - 19=86

Hope this helps have a great day:)

Answer:

Cody rounds $164.50 to and $37.25 to $160 and $40, respectively.

Step-by-step explanation:

Given

\(Bat = \$164.50\)

\(Glove = \$37.25\)

Required

Approximate to nearest $10

To answer this, we simply approximated both to the nearest tens.

For Bat, we have:

\(Bat = \$164.50\)

\(Bat = \$160\) approximated

For Glove, we have:

\(Glove = \$37.25\)

\(Glove = \$40\) approximated

Answer:

sum of x and y

x + y

1.5 + 3

4.5

hope it helps u

Answer:

$28.84 with the sale

Step-by-step explanation:

good luck! Brianliest?

Answer:

D

Step-by-step explanation:

every time the mile increases he burns more calories you can see that when you look at it closely

Step-by-step explanation:

To solve the equation, factor x

2

+x−56 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=1

ab=−56

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −56.

−1,56

−2,28

−4,14

−7,8

Calculate the sum for each pair

−1+56=55

−2+28=26

−4+14=10

−7+8=1

The solution is the pair that gives sum 1.

a=−7

b=8

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−7)(x+8)

To find equation solutions, solve x−7=0 and x+8=0.

x=7

x=−8

Answer:

along the x it moved 3 and along the y it went 4

Answer:

c. 0.17

Step-by-step explanation:

The bag have 4 + 2 + 6 = 12 balls.

There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:

2/12 = 1/6 = 0.1666 ≈ 0.17

The expected value of the random variable that assigns  the number of red marbles to each outcome is 0.17.

Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.

Expected value = number of red marbles / total number of marbles

2/12 = 0.17

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Answer:

x=21

Step-by-step explanation:

For simplicity's sake, I started by naming the angles. Please reference the attachment.

For this, we're using parallel lines with one intersecting line (transversal) to give us valuable information about the angles.

First, based on the Corresponding Angles Theorem, corresponding angles, such as A and B, are congruent.

This means that angle B can also be represented by the expression 6x-19.

Furthermore, since angles B and C are on the same line, they must be supplementary, meaning that they add up to 180 degrees.

This said, we can set up an equation to solve for x because B+C=180

6x-19+3x+10=180

Combine Variables

9x+10-19=180

9x-9=180

Add 9 to both sides to isolate x

9x=189

Divide both sides by 9

x=21

This problem could have also been solved with various other theorems such as, but not limited to:

Keep in mind a prerequisite for all of these theorems except the vertical angles theorem are that it must be for a transversal cutting/intersecting 2 parallel lines.

The Alternate Exterior Angles Theorem states that alternate exterior angles are congruent (A and D)

The Alternate Interior Angles Theorem states that alternate interior angles are congruent (C and E)

The Vertical Angles Theorem states the vertical angles- angles across from each other- are congruent (B and D)

The Same Side Exterior Angle Theorem states that same side exterior angles supplementary (A and F)

The Same Side Interior Angle Theorem states that same side interior angles are supplementary (E and B)

Please let me know if you have any questions!

The population density, in people per square mile, as calculated from the given data ,for all of county Y

=8.25/ square mile

Population density of district A = No of people/ Area

                                                    = 370/30

                                                     =12.3

Population density of district B = No of people/ Area

                                                    = 290/50

                                                     = 5.8

Now ,

Population density for the country Y will be,

=No of people/ Area

= (370+ 290 )/ 30 + 50

=  8 . 25 / square mile

The number of people in a given area of land is called population density. Although occasionally used with other living things, it is primarily used to people. It is a significant geographic term.

Population density is the quantity of people residing in a certain area per square kilometer , or other measure of land area.

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If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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the answer is $15.21

Answer:

The total cost of the lunch, including the tip and without tax, is $15.21.

Step-by-step explanation:

We know that the tip is calculated as 17% of the cost of the lunch, without tax.

1. convert percentage into a decimal

17% = 0.17 because 17/100 = 0.17

2. calculate the tip amount

tip = 0.17  * 13

tip = $2.21

3. find the total cost of the lunch

total cost = cost of lunch + tip

total cost = $13 + $2.21

total cost = $15.21

Therefore, the total cost of the lunch, including tip and without tax is $15.21.

Answer:

Nina is not correct because she divided by 4, whereas she should’ve divided by 5.

Step-by-step explanation:

To find the mean, we add and divide by however many numbers. In this case, 6 + 7 + 4 + 0 + 3 = 20. Now, we divide by 5, because there are 5 scores in the data. This is where she went wrong, as she divided by 4. Instead, she should’ve divided by 5. This would’ve given her a mean of 4.

The surface area of the triangular prism 5ft 11ft 15 ft is 515 sq ft.

To find the surface area of a triangular prism, we need to calculate the area of each face and then add them together.

The triangular base has dimensions of 5ft and 15ft, so its area is:

Area of triangular base = (1/2) x 5ft x 15ft = 37.5 square feet

There are two identical triangular faces, so the total area of the triangular faces is:

Total area of triangular faces = 2 x 37.5 = 75 square feet

The rectangular faces have dimensions of 5ft x 11ft and 11ft x 15ft, so their areas are:

Area of first rectangular face = 5ft x 11ft = 55 square feet

Area of second rectangular face = 11ft x 15ft = 165 square feet

There are two identical rectangular faces, so the total area of the rectangular faces is:

Total area of rectangular faces = 2 x (55 + 165) = 440 square feet

Hence, the triangular prism's total surface area is:

Total surface area = Total area of triangular faces + Total area of rectangular faces

Total surface area = 75 + 440 = 515 square feet

The triangular prism offered has a surface area of 515 square feet.

The complete question is:-

Find the surface area of the triangular prism below 5ft 11ft 15 ft

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Answer:

Just Add 25+25=50 and Subtract 180 by 50 to get 130.

Step-by-step explanation:

Answer:

376 - q = 28

Step-by-step explanation:

I hope this is what you meant :)

Respuesta:

12

Explicación paso a paso:

Para encontrar este número, necesitamos escribir una expresión algebraica y resolver x.

sea x = el número

\(4x+20=68\)

Resta 20 en ambos lados

\(4x=48\)

Dividir por 4

\(x=12\)

Nuestro número será 12

Answer:

I'm kinda guessing 35 degrees.

Step-by-step explanation:

It was simple math and I don't know if there's a certain way you are supposed to do this. Sorry if I'm incorrect.

Answer:

35 degrees  im pretty sure

Step-by-step explanation:

goodluckk

Answer:

First we must learn to dissect a question.

Part 1

We can list our facts first:

She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

\(6.5 \times 1.5 = 9.75 \: teaspoons\)

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

\(9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp\)

Answer:

160

Step-by-step explanation:

the middle letters ttell you which corner of the triangle has that degree.

all corners added together must equal 180 in a triangle

jkl has k in the middle so k is 3°

kjl has J in the middle so J is 17°

jlm has L in the middle and is unknown

K + J + L = 180

3+17+L = 180

20 + L = 180

L = 160

Answer:160 degrees

Step-by-step explanation:

180-3-17=160

All triangles neasure 180 degrees

Answer:

Senior citizen ticket: $3

Student ticket: $9

Explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)