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The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10

To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.

Bus 47:

Median (Q2): 16

Q1: 10

Q3: 22

IQR = Q3 - Q1 = 22 - 10 = 12

Bus 18:

Median (Q2): 12

Q1: 8

Q3: 18

IQR = Q3 - Q1 = 18 - 8 = 10

Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.

Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.

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Answer:

im pretty sure it 1641 square miles

The coefficient of variation for A is 20.37% and for B is 15.98%.

What is coefficient of variation?

In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.

We know that formula for coefficient of variation is

CV = Standard Deviation / Mean

A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100

Mean = 411200 / 14

Mean = $29371.42

Similarly,

Standard Deviation = $5984.52

So,

CV = 5984.52 / 29371.42 * 100

CV = 20.37%

B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98

Mean = 43.42 / 11

Mean = $3.94

Similarly,

Standard Deviation = $0.63

So,

CV = 0.63 / 3.94 * 100

CV = 15.98%

Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.

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Answer:

slope 3/4

y intercept -1

Step-by-step explanation:

y=mx+b

m=slope

b=y intercept

Answer:

Slope-3/4

Intercept-(0,-1)

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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Applying the distributive property, the solution of x for item c is given as follows:

x = (3a - 8 - b)/(a - b).

The distributive property is when the outside term multiplies each of the inside terms of an expression.

For example, in this problem:

Hence the solution for x of the expression is found as follows:

a(x - 3) + 8 = b(x - 1).

ax - 3a + 8 = bx - b

ax - bx = 3a - 8 - b

x(a - b) = 3a - 8 - b

x = (3a - 8 - b)/(a - b).

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Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

y=-2 is y intercept, graph opens upward like a smiley face

a=3 ,b=1, c=-2

Step-by-step explanation:

1.the graph opens upward since 3x^2 is positive

2.the graph corsses the Y axis when x is zero, so setting x equal to zero we find...

3(0)^2 + (0) -2 =y so y=-2 is y intercept

y=ax+bx+c

y=3x^2+x-2

a is represented by 3

b is 1 since x is positive

c is -2

Answer:

37 million and 37037

Step-by-step explanation:

37 million and 37037 Americans visited online retail sites on Black Friday last year

Answer:

Step-by-step explanation:

285 - 60= 225

225/45= 5

5 weekdays

the solution to the equation 3/5(4x + 1) = 3(2 - 4) + 9 is x = 2.4.

3/5(4x + 1) = 3(2 - 4) + 9

12/5x + 3/5 = -6 + 9

Simplify the right-hand side: 12/5x + 3/5 = 3

To find the x term, subtract 3/5 from both sides:

12/5x = 3 - 3/5

Simplify the right-hand side:

12/5x = 2 2/5

Divide both sides by 12/5, multiplied by the reciprocal:

x = (2 2/5) / (12/5)

Simplify the right-hand side:

x = (12/5) * (12/5) = 2.4

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Here,

5 and 13 are expressions for 2x.

The symbol "=" joins these two expressions.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

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Step-by-step explanation:

Use the definition of sine of an angle to find x:

\(\sin{21°} = \dfrac{x}{5}\)

\(\Rightarrow x = 5\sin{21°} = 1.8\)

3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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Answer:

<U+<V +< W = 180°[sum of interior angle of a triangle is 180°]

3x+9° +30° + 24° = 180°

3x + 45° = 180°

3x = 180° -45° = 135°

x = 135/3

x = 45°

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

y=1x-6

Step-by-step explanation:

First we find the slope by using rise over run. So you can either count up and over(rise/run) or use the slope formula y2-y1/x2-x1. You will find that the slope is 1, so plug that into the equation for mx. So we have y=1x so far. Then we find the y-intercept by looking where the graph intersects the y-axis. As you can see it intersects at -6, so plug -6 into the equation for b. No we have our full equation of y=1x-6.

-Hope this helped

In base 8, the largest digit is 7. So 1₈ + 7₈ = (8)₈ = 10₈.

Then

577₈ + 1₈ = 570₈ + 7₈ + 1₈

… = 570₈ + 10₈

… = 500₈ + 70₈ + 10₈

… = 500₈ + 100₈

… = 600₈

Answer:

a. No

b. Yes

c. No

Step-by-step explanation:

a. For BC and B'C to both be parallel to the y-axis when BC is parallel to the y-axis the figure must be rotated by a multiple of 180 degrees.

b. When you rotate a figure none of the angles in the figure change.

c. For D and D' to have the same coordinates the figure must be rotated by 360.

Answer:

all of them are correct

Hiya! :)

Answer:

They are all correct

Hope this helped!!!

Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

The function with the steepest slope is \(y = 7x - 3\).

The correct answer is C.

The linear function with the steepest slope is the one with the highest absolute value for the coefficient of x.

Let's compare the coefficients of x in each of the given functions:

\(y = -8x + 5\)

Slope: -8

\(y - 9 = -2(x + 1)\)

Simplifying, we get \(y - 9 = -2x - 2\)

Rearranging, we have \(y = -2x + 7\)

Slope: -2

\(y = 7x - 3\)

Slope: 7

\(y + 2 = 6(x + 10)\)

Simplifying, we get \(y + 2 = 6x + 60\)

Rearranging, we have \(y = 6x + 58\)

Slope: 6

Therefore, the steepest slope is the \(y = 7x - 3\).

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The least common denominator of the fractions  1/2x-6 and 2x/7x-21 is (2x-6)(7x-21)

A fraction can be described as the part of a whole variable or number.

Some types of fractions in mathematics are;

The least common denominator of a fraction can be defined as the smallest number of all the common multiples of the denominators given.

From the information given, we have the fractions as;

1/2x-6 and 2x/7x-21

Note that the denominator of both fractions are

(2x-6)(7x-21)

Since they are in form of expression, the least common denominator is their product.

Hence, the LCD is (2x-6)(7x-21)

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The line m is not parallel to line n. Hence, proved.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, line m is not parallel to line n.

Prove that, ∠1 is not congruent to ∠5 by contradiction.

A by contradiction proof starts by assuming the negative of the to prove is true, then from there logically arriving at a contradiction.

So, assume ∠1 ≅ ∠5.

Those angles are corresponding angles (definition of corresponding angles when two lines are cut by a transversal)

Therefore, line m║n (when two lines are cut by a transversal such that corresponding angles are congruent, then those lines are parallel).

This contradicts the given information that line m is not parallel to line n, so the original assumption cannot be true.

Hence, it is proved.

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Answer:

im thinking either b or c im leaning towards b

Step-by-step explanation:

Step-by-step explanation:

Multiply:

2(5/8) × -4(3/4)

⇛(80/8) × (-48/4)

⇛20 × (-6)

⇛-120. Ans.

The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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