A bicycle tire has a radius of 26 inches. How many revolutions will this tire make if the bicycle is pedaled 1 mile? (Use 3.14 for π and 1 mile = 5280 feet).

Answer:

D 18%

Step-by-step explanation:

18/100 = 18%so D is the answer

The appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

The appropriate measure of variation (spread) for these data is the standard deviation. Standard deviation is a measure of how much the data values vary from the mean (average) of the data set. It is calculated by taking the square root of the variance, which is the average of the squared differences between each data value and the mean.

To calculate the standard deviation for this data set, follow these steps:

1. Find the mean of the data set by adding up all of the data values and dividing by the total number of values. In this case, the mean is (4 + 7 + 2 + 3 + 4 + 2 + 1 + 3 + 9 + 8 + 5 + 1 + 3 + 2 + 3 + 2 + 4 + 3 + 6 + 5) / 20 = 3.65

2. Find the variance by subtracting the mean from each data value, squaring the result, and then finding the average of these squared differences. The variance for this data set is ((4 - 3.65)^2 + (7 - 3.65)^2 + (2 - 3.65)^2 + ... + (6 - 3.65)^2 + (5 - 3.65)^2) / 20 = 5.2275

3. Take the square root of the variance to find the standard deviation. The standard deviation for this data set is sqrt(5.2275) = 2.287

Therefore, the appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.

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The number of unique ways to complete a quiz with 5 questions and 4 possible answers to each question is \(4^5\), or 1024.

This can be calculated using exponential notation, which states that a number raised to the power of another number is equal to the number multiplied by itself that many times. In this case, 4 to the power of 5 is equal to 4 x 4 x 4 x 4 x 4, or 1024.

In other words, the number of unique ways to answer a quiz with 5 questions and 4 possible answers to each question is equal to 4 multiplied by itself 5 times. This can also be written using the exponential notation as \(4^5\). There are 1024 unique ways to complete a quiz with 5 questions and 4 possible answers to each question.

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Answer:

Step-by-step explanation:

Given RM = x+3 and MS = 2x-1, if M is on between R and S, then RM = MS

x+3 = 2x-1

collect like terms;

x - 2x = -1-3

-x = -4

Divide both sides by -1

-x/-1 = -4/-1

x = 4

Since RM = x+3, substitute x = 4 into the expression to get the lrngth of Rm.

RM = 4+3

RM = 7

Hence x = 4, RM = 7

The odd cubic function f(x) = x³ - 4x² + 5 is approaching (x → ∞, y → ∞).

A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.

The graph's final behavior is determined by a polynomial function's degree and leading coefficient.

The function f(x) = x³ - 4x² + 5 is an odd cubic function that is symmetric about the origin.

As x approaches negative infinity the function f(x) also approaches negative infinity but at a faster rate and as approaches positive infinity the function f(x) also approaches positive infinity at a faster rate.

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Answer:

line goes from bottom left to top right or as we would call it positive. now the +5 is your y intercept so start at 5 and go up one over 2 right because that is your slope

Answer:

8.5 hours

Step-by-step explanation:

Go trip: 216 ÷ 48

Return trip: 216 ÷ 54

Total: (216 ÷ 48) + (216 ÷ 54)

4.5 + 4 = 8.5

Answer:

8.5 hours

Step-by-step explanation:

I'm simply answering so the other person can get brainliest :)

I hope you don't mind

Answer:

area of circle = pi r²

3.14x 4²

3.14×16

50.24cm²

Answer:

8.9

Step by Step explanation:

20.5/14.7=1.64

12.5/1.64=8.9

Therefore , In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

What is triangle?

Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.

A polygon is a closed two-dimensional geometric shape that has three or more straight sides. The sides of a polygon are called edges and the points where the edges meet are called vertices.

Here,

We must apply the mathematical procedure for computing an equilateral triangle's area.

An equilateral triangle's area is equal to 3/4 of each side; assume that each side is x cm long.

[3/4 (a)2] cm2 is the equilateral triangle's surface area.

In light of the information mentioned in the query,

√3/4 × (a)² = 196√3

a²/4 = 196√3/√3

a²/4 = 196

a² = 196×4

a² = 784

a = √784

a = 28

In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

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A parabola is a U-shaped curve that is symmetrical about a specific axis. It is a conic section defined by a quadratic equation and has applications in various fields, including mathematics, physics, and engineering.

To find the coefficient b, we need to use the given points to form a system of equations. Substituting (0,3), (1,4), and (2,3) into the equation y=ax²+bx+c, we get:

3=c
4=a+b+c
3=4a+2b+c

Substituting c=3 into the second equation, we get:

4=a+b+3

Substituting c=3 into the third equation, we get:

3=4a+2b+3

Simplifying the third equation, we get:

1=2a+b

Now we have two equations:

4=a+b+3
1=2a+b

Solving for b, we get:

b=1-2a

Substituting b=1-2a into the first equation, we get:

4=a+(1-2a)+3

Solving for a, we get:

a=0

Substituting a=0 into b=1-2a, we get:

b=1

Therefore, the coefficient b is 1.

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Answer:

she will make 32 burger patties.

One way:

8 x 4 = 32

the fraction will get reversed so it turns to 4.

Second way(basically the same as the first way):

8 divided by 1/4 = 8 x 4= 32

You just have to divide 8 by 1/4. The fraction gets reversed in divisions so it turns to 4.

Answer:

ok the answer is...

Step-by-step explanation:

32!!

the reason for this is because 1/4 + 1/4 + 1/4 + 1/4 = 4!

so do that again all over again 8 times and you have your answer.

Answer:

he lost 24 and got, if they were all worth 4 points,86

Step-by-step explanation:

4*6=24

and

4*19=76

76+10=86

Answer:

He earned 86 points on his test and lost 24 points

Step-by-step explanation:

(25-6)4+10

=19x4+10

=76+10

=86

Given, the perimeter of the rectangular billboard, P=42 m.

The length of the rectangular billboard is 9 m more than the width.

Let l be the length and w be the width of the rectangular billboard.

Then, the length can be expressed as,

The perimeter of a rectangle can be expressed as,

Now, put l=9+w and P=42 m in the above equation to find w.

Hence, the length is,

Therefore, the length of the rectangular billboard is 15 m and the width of the rectangular billboard is 6 m.

Answer:

120

Step-by-step explanation:

ABD=DBE=EBF=30

30+30+30=90

FBC=90

EBC= EBF + FBC =30 + 90=120

Given the expression

Next is to know how many 61 can go in 6409. Using the calculator, you can see that it is 105 with a remainder of 4

We will then have to express the fraction in the form:

Q is the quotient = 105

R is the remainder = 4

D is the divisor = 61

Substituting these values into the expression we will have:

Hence the solution written as a whole number and fraction is 105 4/61

Answer:

30k + k²

Explanation:

First Step:

30 is added to k means : 30 + k

Second Step:

Resulting number multiplied by k means : (30 + k) × k

Results:

30k + k² ___prime number.

The value of x so that f(x) = 7 is -3.

Given,

The function f(x) = 7

We have to find the value of x.

Function;-

In a function, one variable is expressed in terms of another. "Y is a function of x" (denoted y = y(x)) denotes that y changes depending on the value that x takes on. Although it is frequently suggested that "x causes y," this is not *necessarily* the case.

Here,

From the graph find the value of x when y = 7.

When y = 7, the value of x in the graph is -3.

Then,

The value of x so that f(x) = 7 is -3.

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Answer:

x = 11

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

so in order to solve this equation we need to know the value of x and to do that we need to look at our problem:

2x – 10 = 12

Now that we can see the problem the first thing we are going to do is segregate 2x in the equation by adding 10 to each side of the equal sign:

2x – 10 = 12

2x (– 10 + 10) = (12 + 10)

2x = 22

Now we are going to divide 2 from both sides of the equation to separate 2 from x:

2x = 12

2x/2 = 22/2

x = 11

Now we have to check our work by inserting 11 in place of x in the original equation :

2x – 10 = 12 or 2(11) - 10 = 12

2(11) - 10 = 12

22 - 10 = 12

12 = 12

SO the answer to the question: What is the solution of the equation 2x – 10 = 12? is x = 11.

Hope this helps you!!

Answer:

2.45%

Step-by-step explanation:

(2.86 - 2.79) / 2.86 = 0.0245

0.0245 x 100 = 2.45%

Answer:

2/3

Step-by-step explanation:

Its simple. Ona calculator, if you type in these fractions, you can compare then decimal form values and see which is the biggest:

4/7 = .5714

2/5  = .04

.5/7.0714

2/3 = .66667

Since .6667 is greater than .5714, 2/3 is greater than 4/7

Answer:

B: .57

C: 2/3

Step-by-step explanation:

Divide 4/7 = .57

A: divide 2/5 = 0.4, which is less than 4/7 so we won't include this number as one of the answers

B: .57, which is equal to 4/7

C: divide 2/3 = 0.67, which is greater than 4/7

This question has two answers (B and C), because it is asking which numbers are greater than or equal to.

The total cost of the fencing can be expressed as a function of x: C(x) = $24x.

Let's assume that the width of the soccer field is x feet. Then the length of the soccer field is 3x feet.

The east and west sides have a combined length of 3x feet, and the cost per foot of fencing is $6, so the total cost for the east and west sides is $6 * 3x = $18x.

The north and south sides have a combined length of 2x feet, and the cost per foot of fencing is $3, so the total cost for the north and south sides is $3 * 2x = $6x.

The total cost of the fencing is the sum of the cost of the east and west sides and the north and south sides: $18x + $6x = $24x.

So, the total cost of the fencing can be expressed as a function of x: C(x) = $24x.

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Answer:

(a.)  8m

(b.) 12 cm

Step-by-step explanation:

a:

given: area of square = 64m²

formula of area of a square A = s²

We will reverse the formula to find the sum of the sides:

S = √A

S =√64

S = 8

b:

Given: perimeter of a square is 48 cm

formula for a perimeter of a square: P = 4 · s

We will reverse the formula to find the sum of the sides:

S = P ÷ 4

S = 48 ÷ 4

S = 12

Answer:

60 points

Step-by-step explanation:

Every time he earns points we add.

Every time he loses points we subtract.

We can write an equation to resemble the problem and simplify.

45 - 40 + 80 - 25

5 + 80 - 25

85 - 25

60

Best of Luck!

Age Frequency

41-45 5

46-50 9

51-55 3

56-60 10

61-65 10

66-70 6

1) Since the frequency represents how many times a given data point occurs within a Data Set. We can fill it in by counting.

2) So let's write them out (Note that in this case the least value is included as well as the greater one):

Age Frequency

41-45 5

46-50 9

51-55 3

56-60 10

61-65 10

66-70 6

And that is the answer

a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.

The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.

a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".

b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.

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Answer: it is the first one

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Since we are informed that the temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer and may also reach a low of -225 degrees Fahrenheit at the poles.

The expression that gives the difference between those temperatures would then be calculated as:

= 70°F - (-225°F)

= 70°F + 225°F

= 295°F

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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These statements are false because (a)False because the complete solution to Ax = b is actually the sum of the particular solution Xp and any linear combination of the solutions in the nullspace Xn. (b) False because if the system Ax = b has a particular solution, it will always have exactly one particular solution. (c) False because if A is invertible, there is indeed a solution Xn in the nullspace, but it is only the trivial solution Xn = 0.

(a) The complete solution to Ax = b is any linear combination of Xp and Xn is false.

Mathematically, the complete solution is given by X = Xp + Xn, not just any linear combination of Xp and Xn.

(b) The system Ax = b has at most one particular solution.

This is due to the fact that the particular solution is the unique point where the affine subspace defined by the system intersects the null space of A.

(c) If A is invertible, there is no solution Xn in the null space.

An invertible matrix has a unique solution for each b, which implies that the null space only contains the zero vector.

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