Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of operation, and low cost. An article described a rolling bench test for determining maximum vehicle speed. A normal distribution with mean value 46.8 km/h and standard deviation 1.75 km/h is postulated. Consider randomly selecting a single such moped.A. What is the probability that maximum speed is at most 50 km/h?B. What is the probability that maximum speed is at least 48 km/h?
C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

For more questions on Histogram.

https://brainly.com/question/25983327

#SPJ8

Answer:

1250

Step-by-step explanation:

whenever you multiply by 10 just add a zero to the end of the other number

125 x 10=

1250

Answer:

\(Pr = 0.140625\)

Step-by-step explanation:

Given

\(n = 5\) --- questions

\(options = 4\) ---- a, b, c or d

Required

The probability that 1st correct question is the 3rd

The probability of selecting the right answer is:

\(p = \frac{1}{options}\)

\(p = \frac{1}{4}\)

\(p = 0.25\)

Using complements, we have:

\(q = 1-p\)

\(q = 1-0.25\)

\(q = 0.75\) --- probability of selecting the wrong answer

The required probability is represented as:

Pr = First is wrong * Second is wrong * Third is correct

\(Pr = q * q * p\)

This gives

\(Pr = 0.75 * 0.75 * 0.25\)

\(Pr = 0.140625\)

Answer:

what they said was correct just took the test

Step-by-step explanation:

The function required is g(x) = 2 + x - 4 + (3 - c + b) where a = 4-2+b-c, b = 6 - 3 + c, and c = 2-a-2+b.

Function is a relationship between two variables. It is represented by an equation that shows the values of one variable in terms of the other.

We can create a new function g(x) to transform f(x) so that it includes the point (-2, 2).

To do this, we need to find the values of a, b, and c where g(x)= a+(x-b)+c.

We know that f(2)=4, f(3)=4, and f(2)=2. We can use these points to solve for a, b, and c.

To solve for a, we can plug in x=2 and solve for a:

a+2-b+c = 4

a = 4-2+b-c

To solve for b, we can plug in x=3 and solve for b:

a+3-b+c = 4

b = 4-a-3-c

To solve for c, we can plug in x=2 and solve for c:

a+2-b+c = 2

c = 2-a-2+b

Now that we have a, b, and c, we can plug them into the equation

g(x) = a + (x-b) + c and get:

g(x) = 4 - 2 + (x - (4-a-3+c)) + (2 - a - 2 + b)

g(x) = 4 - 2 + (x - 4 + a + 3 - c) + (-a - 2 + b + 2)

g(x) = 4 - 2 + (x - 4) + (a + 3 - c - a - 2 + b + 2)

g(x) = 4 - 2 + x - 4 + (3 - c + b)

g(x) = 2 + x - 4 + (3 - c + b)

When we plug in x = -2, we get:

g(-2) = 2 - 2 - 4 + (3 - c + b)

g(-2) = -4 + (3 - c + b)

g(-2) = 2

We can now solve for c and b using the above equation:

-4 + (3 - c + b) = 2

3 - c + b = 6

b = 6 - 3 + c

Therefore, g(x) = 2 + x - 4 + (3 - c + b) where a = 4-2+b-c, b = 6 - 3 + c, and c = 2-a-2+b is the function required.

For more questions related to variables

https://brainly.com/question/29283831

#SPJ1

The answers include the following:

This is referred to as a mathematical operation in which two or more numbers or quantities are added together to form a sum.

3x = 18

x = 18/3 = 6

x+9 =22

x = 22-9 = 13

x/4 = 6

x = 6 × 4 = 24

x-12 =19

x = 19+12 =31

2x + 9 = 25

2x = 25-9 =16

x=16/2 = 8

Read more about Addition here https://brainly.com/question/20460320

#SPJ1

Answer:

The percentage increase equation is:

Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100

The percentage increase = 11.97%

Step-by-step explanation:

Given

Starting Value  = 376

Final Value = 421

To determine

Percentage Increase =?

The percentage increase equation:

Percentage Increase = [ (Final Value - Starting Value) / |Starting Value| ] × 100

                                  = [(421 - 376) / (376)] × 100

                                  = [45 / 376] × 100

                                  = 11.97%

Therefore, the percentage increase = 11.97%

Answer:

3700 kings

Step-by-step explanation:

Answer:

3(2.4x+4)=4.1x+7+3.1x has no solutions.

Answer:

\(216\sqrt{3}\) \(cm^{2}\)

Step-by-step explanation:

Length of edge:

\(12\)

Length of apothem:

\(\frac{\sqrt{3}}{2}*12\)

\(6\sqrt{3}\)

3 × Length of edge × Length of apothem:

\(3*12*6\sqrt{3}\)

\(216\sqrt{3}\)

The answer is 96√3 cm²

Answer:

B

Step-by-step explanation:

I did That before

Answer:

the answer is d hope this helped

Step-by-step explanation:

Answer:

$6.00

Step-by-step explanation:

In order y find the cost of one muffin, we divide the price of 6 muffins by 6.

$3.00 / 6 = $0.50

Therefore, the cost of one muffin is $0.50.

To find the price per dozen, we multiply the cost of one muffin by 12.

$0.50 * 12 = $6.00

Therefore, the price per dozen muffins is $6.00.

Add 7 to both sides.

Add −4 and 7 to get 3.

Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.

Multiply 3 and 3 to get 9.

x= V2 x-1

x-V2 x= -1

x+x = 1/V2

2x = 1/V2

x = 1/2V2

x = V2/4

Answer:

1/5 or 0.2 of the whole pizza

but it says that theres only 3/4 of the pizza there. so 3/4 of a pizza eaten by 5 people each person would get 0.15 of the pizza

Step-by-step explanation:

The Triangle Proportionality Theorem, also known as the Side Splitter Theorem, states that if a line is parallel to one side of a triangle, then it divides the other two sides proportionally.

Triangle Proportionality Theorem:

To prove this theorem, we begin by drawing a ΔABC with a line DE parallel to side AB. We then draw lines BD and CE, which intersect the parallel line DE at points F and G, respectively. By the properties of parallel lines, we know that ∠ADE and ∠ABD are congruent, and ∠AED and ∠ADB are congruent. Similarly, ∠CDE and ∠BDC are congruent, and ∠CED and ∠DCB are congruent.

We can then use the properties of similar triangles to show that ΔADE and ΔABC are similar, as are  ΔCDE and ΔACB. This means that the ratios of corresponding side lengths are equal:

BA/DE = CA/CE and CB/DE = AB/BD

We can then substitute CA - BA for CB in the first equation, and BD for AB in the second equation:

BA/DE = (CA - BA)/CE and CB/DE = BD/(CA - BA)

Cross-multiplying both equations, we obtain:

BA * CE = DE * (CA - BA) and CB * DE = BD * (CA - BA)

Adding the two equations, we get:

BA * CE + CB * DE = (DE + CE) * CA

Dividing both sides by CB * DE, we obtain:

BA/CB = (DE + CE)/CE * CA/DE = DE/CD

Thus, we have proven the Triangle Proportionality Theorem.

To know more about  Proportionality Theorem, visit:

https://brainly.com/question/29204751

#SPJ1

The conditional statement is solved and you could ask for an enrollment verification notice from the school

Given data ,

Let the statement be informally proven that you are taking courses online

And , To informally prove that you are taking courses online, you can contact the professors of the courses via email and obtain informal permission from them first.

Then you can initiate the request using the new online information system of the school to obtain an enrollment verification notice

It is a legitimate document that the school has produced that may be utilized for a number of things, including debt deferments, employment, and insurance.

Hence , the conditional statement is solved

To learn more about conditional statements click :

https://brainly.com/question/18152035

#SPJ1

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

For such more question on Multiply

https://brainly.com/question/29793687

#SPJ8

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

for such more question on matching expressions

https://brainly.com/question/12270624

#SPJ8

Answer:  The slope describes the change in temperature for every hour after the cold front arrives.

Step-by-step explanation:

Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

The mistake is when you try to divide by X - 1, because you can't divide by zero.

Here we start by defining:

X = 1

The second step makes sense, we are adding the same value in both sides:

X + X = X + 1

2X = X + 1

Now subtract 2 in both sides:

2X - 2 = X + 1 - 2

2X - 2 = X - 1

Here is the mistake, you divide both sides by X - 1

But we already defined that X = 1

Then you are trying to divide by zero, and that opeartion is not defined, that is why you reach a false equation.

Learn more about divisions at:

https://brainly.com/question/25289437

#SPJ1

After answering the provided question, we can conclude that The slope answer is not listed as a choice, but this is the correct equation.

In mathematics, slope is the slope of the regression of a line or curve. It is a measure of the degree to which a function's y-value varies once the x-value changes. A line's slope is usually expressed as a letter m and is able to be calculated as follows: m = (y2 - y1) / (x2 - x1) (x1, y1) and (x2, y2) is some two important points on the line. The slope of a line can be favorable, negative, equal to 0, or unknown. A positive slope means the line rises up from left to right, whereas a slope means the line falls back from left to right.

To find the equation of the line passing through the point (4,-5) with slope 2, we can use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-5) = 2(x - 4)

y + 5 = 2x - 8

y = 2x - 13

y = 2x - 13

The answer is not listed as a choice, but this is the correct equation.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ1

\( {x}^{ 2 - 2} = {x}^{0} = 1\)

ok done. Thank to me :>

Answer:

It is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

Step-by-step explanation:

Polygons are plane shapes with more than three sides. They are named after the number of their sides. Examples are trigon (3 sides), hexagon (6 sides), nonagon (9 sides) etc.

in the question, the given polygon ABCDE is a pentagon because it has five sides. And it would be a convex pentagon with none of its sides extending into the interior of the polygon.

Answer:

D-It is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon. Edu 2020

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

1/4

Step-by-step explanation:

I used points (4,2) and (8,3).

Average cost per square foot to build a fast-food restaurant is $238 .

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers.

Given,

Area of the restaurant = 4000 sqft

Total average cost to build the restaurant

= $952000

Average cost of per sqft

= 952000/4000

= $238

Hence, $238 is the average cost per square foot to build a fast-food restaurant.

Learn more about division here:

https://brainly.com/question/21416852

#SPJ9

60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

60 percent of 92

Let x be the 60 percent of the 92

x = 60 % of 92

x = (60/100)92

x = 55.2

Thus, 60 percent of 92 is 55.2 after applying the concept of the percentage, option (D) 55.2 is correct.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ6

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB