q Daily Tire Sales 8 46 9 38 10 00 11 59 12 4 13 14 15 16 6 2 3 1 3 Key 112 112 tires - What is the median of the number of tires sold each day?
A100
B117
C121
D124
I need an answer asap it's an exit ticket ​

The planning value for the population standard deviation ,a sample size of 677 graduates is needed to estimate the population mean starting salary with a margin of error of $200.

We need to use the range of the expected starting salaries, which is between $42,000 and $59,800. The formula for calculating the planning value is:
Planning value = (range of salaries) / (6)
Therefore, the planning value for the population standard deviation is:
Planning value =\(($59,800 - $42,000) / (6) = $2,967\)
To determine the sample size needed for a desired margin of error, we need to use the following formula:
Sample size = (Z-score)^2 * (planning value)^2 / (margin of error)^2
For a margin of error of $600 and a 95% confidence level, the Z-score is 1.96. Plugging in the values, we get:
Sample size =\((1.96)^2 * ($2,967)^2 / ($600)^2 = 113\)
Therefore, a sample size of 113 graduates is needed to estimate the population mean starting salary with a margin of error of $600.
For a margin of error of $200, the Z-score is still 1.96. Plugging in the new margin of error, we get:
Sample size =\((1.96)^2 * ($2,967)^2 / ($200)^2 = 677\)
Therefore, a sample size of 677 graduates is needed to estimate the population mean starting salary with a margin of error of $200
In summary, the planning value for the population standard deviation is $2,967. The sample size needed for a margin of error of $600 is 113, while the sample size needed for a margin of error of $200 is 677. These calculations can help organizations determine the appropriate sample size needed to accurately estimate the starting salaries of business administration graduates.

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The matrix has two distinct eigenvalues, λ1<λ2:

λ1=  0 has an algebraic multiplicity(AM)= 2 the dimension of the corresponding eigenspace (GM) is 1

λ2= 3 has an algebraic multiplicity(AM)= 1 the dimension of the corresponding eigenspace (GM) is 1

Matrix C is NOT diagonalizable.

The characteristic polynomial of the matrix C is given as p(λ) = -λ^2(λ-3). To find the eigenvalues, we set p(λ) = 0.

-λ^2(λ-3) = 0

This equation has two distinct eigenvalues, λ1 and λ2:

λ1 = 0, which has an algebraic multiplicity (AM) of 2 (since the exponent of λ^2 is 2). To find the dimension of the corresponding eigenspace (GM), we solve the system (C - λ1I)x = 0, which is already in the form of matrix C. Since there is only one independent vector, the GM for λ1 is 1.

λ2 = 3, which has an algebraic multiplicity (AM) of 1. To find the dimension of the corresponding eigenspace (GM), we solve the system (C - λ2I)x = 0. In this case, there is only one independent vector, so the GM for λ2 is also 1.

A matrix is diagonalizable if the sum of the dimensions of all eigenspaces (GM) equals the size of the matrix. In this case, the sum of GMs is 1 + 1 = 2, while the size of the matrix is 3x3. Therefore, the matrix C is not diagonalizable.

Your answer:
λ1 = 0, AM = 2, GM = 1
λ2 = 3, AM = 1, GM = 1
Matrix C is NOT diagonalizable.

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To read and plot coordinates, first you need to understand what the coordinates are and what they represent. Coordinates are used to indicate the position of a point on a graph or map.

They are typically composed of two or three numbers that represent an x- or y-axis on a graph.

To plot coordinates, start by plotting the x-coordinates on the x-axis and the y-coordinates on the y-axis. When plotting a point, start by drawing a circle at the coordinates. Then, draw a line connecting the point to the origin (the point where the x- and y-axes intersect). Finally, label the point with its coordinates.

When plotting multiple points, start by plotting each point individually and then connecting them with straight lines. This will create a graph with the points connected in a specific order.

When plotting coordinates, it is important to make sure that the data is accurate. Any mistakes in the coordinates can lead to wrong results. Additionally, it is important to use the same scale when plotting coordinates so that the points are accurately represented.

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Answer:

u = 10

Step-by-step explanation:

u + 10 = 20

subtract 10 from each side:

u + 10 - 10 = 20 - 10

u = 10

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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In binary notation, the number "10000" represents the value of 16 in ordinary (decimal) numbers. Binary notation is a numbering system that uses only two digits, 0 and 1, to represent all numbers.

Each digit in a binary number represents a power of two, with the rightmost digit representing 2^0, the second-rightmost digit representing 2^1, and so on. In the number "10000", the leftmost digit represents 2^4, or 16, while all other digits are 0.

Therefore, the binary number "10000" is equal to the decimal number 16. It is important to note that binary notation is commonly used in computer programming and digital electronics, while ordinary (decimal) numbers are used in everyday life and most other fields of study.

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A product or service which benefits everyone in the community but often is not feasible or efficient to provide without the collective effort of the community is a public good.
What are public goods?

A public good is a good or service that is non-excludable and non-rivalrous. Non-excludability ensures that everybody in the community may benefit from the good or service.

Non-rivalry, on the other hand, ensures that consumption of the good or service by one person does not reduce its availability for others to enjoy without limitation.

A product or service which benefits everyone in the community but often is not feasible or efficient to provide without the collective effort of the community is a public good.

Public goods and services include a variety of things, such as schools, bridges, and parks, that everyone can use and benefit from without having to pay.

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Answer:

Using Sine Rule

w= 19.8

If a=4, b= 7, and B= 75°, the area of triangle ABC is approximately 13.476 square units.

To find the area of triangle ABC given the values of a, b, and B, we can use the formula:

Area = (1/2) * a * b * sin(B)

where a and b are the lengths of two sides of the triangle and B is the angle between them, measured in degrees.

Substituting the given values, we get:

Area = (1/2) * 4 * 7 * sin(75°)

Using a calculator to evaluate the sine of 75°, we get:

Area = (1/2) * 4 * 7 * 0.96593

Area ≈ 13.476 square units

The formula for the area of a triangle involves using the length of two sides and the angle between them.

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The given statements are True , False, False, True and True.

They are elaborated in points below:

(a) True:

Let x and y be even integers.

Then, by definition, x = 2a and y = 2b for some integers a and b.

Adding these equations, we get x + y = 2a + 2b = 2(a + b), which is an even integer. Therefore, the statement is true.

(b) False:

A counterexample is x = 1 and y = 3. Then x + y = 4, which is even, but neither x nor y is even.

Therefore, the statement is false.

(c) False:

A counterexample is x = -2 and y = 4. Then x² = (-2)²= 4 and y = 4² = 16, but x ≠ y. Therefore, the statement is false.

(d) True:

Since x < y, we have y - x > 0. Multiplying both sides by y + x, we get y² - x² > 0.

Rearranging the terms, we have x² < y².

Since x and y are both non-negative, we can take the square root of both sides to get x < y.

Therefore, the statement is true.

(e) True:

Since x and y are positive, we can take the square root of both sides of the inequality x < y to get √x < √y.

Then, multiplying both sides by √x + √y, we get x + 2√xy + y > x + y.

Since x + y is positive, we can divide both sides by x + y to get 1 + 2√(xy)/(x+y) > 1.

Rearranging the terms, we get √(xy) < (x + y)/2. Squaring both sides, we get xy < (x + y)²/4.

Simplifying, we get x²/4 - xy + y²/4 > 0. Rearranging the terms, we get (x - y/2)² > 0, which is always true since the square of any non-zero number is positive. Therefore, the statement is true.

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The area of the trapezoid is 30 square inches for the given dimensions and angle.

Given:

Vertical left edge of a trapezoid = 8 inches

Bottom edge of a trapezoid = 4 inches

Vertical right edge of a trapezoid = 11 inches

Top slanted edge of a trapezoid = 5 inches

Now, the formula used:

The formula for the area of a trapezoid is A = (b1 + b2)/2 × h,

where b1 and b2 are the lengths of the parallel bases and h is the height (the perpendicular distance between the bases).

We are given that the vertical left edge of a trapezoid is 8 inches and meets the bottom edge of the trapezoid at a right angle.

Therefore, AB = 8 inches

We are also given that the bottom edge is 4 inches and meets the vertical right edge at a right angle.

Therefore, DC = 4 inches

We are also given that the vertical right edge is 11 inches.

Therefore, CD = 11 inches

We are also given that the top slanted edge measures 5 inches.

Therefore, AB + DC = 8 + 4 = 12 inches is the parallel sides of the trapezoid.

And, h = 5 inches is the height of the trapezoid.

Now, we will use the formula to calculate the area of the trapezoid.

Therefore,

A = (b1 + b2)/2 × h

We know that the parallel sides of the trapezoid are 12 inches and the height of the trapezoid is 5 inches.

Substituting the given values in the formula, we get:

A = (12)/2 × 5A = 6 × 5A = 30

Therefore, the area of the trapezoid is 30 square inches.

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Using mathematical operations, we know that the drop in temperature in each hour is 2°C, and the operations which represent this is 10/5 = 2°C.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation."

The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

So, the operation that represents the change in temperature:

Time taken is 5 hours.

The temperature drop is 10°C.

The same amount of temperature in each hour.

Then, the operation will be:

10/5 = 2°C

Therefore, using mathematical operations, we know that the drop in temperature in each hour is 2°C, and the operation which represents this is 10/5 = 2°C.

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Answer:

Exact Form: 34/9

Mixed-Number Form: 3 7/9

Step-by-step explanation:

Hope this helps.

Answer:

3 7/9

Step-by-step explanation:

2 1/8  

convert mixed numbers to improper fractions

2x8+1/8 = 17/8

1 7/9

1x7+9/9 =16/9

17/8 x 16/9

Factor the number 16=8x2

17x8x2/8x9

cancel the common factor =8

=17x2/9

=34/9

convert improper fractions to mixed numbers

34/9 =3 remainder of 7

34/9 = 3 7/9

Answer:

0.011, 0.5, 0.625, 1.0625, 1.25

Step-by-step explanation

The absolute minimum value of the function

\(f(x)=2x3 21x2−48x 6\)

,\(−8≤x≤2\) is -414 at

x = 6.

To find the absolute minimum value of the function

\(f(x) = 2x^3 - 21x^2 - 48x + 6\) in the interval

-8 ≤ x ≤ 2, follow these steps:

1. Determine the derivative of f(x) with respect to x to find critical points:

 \(f'(x) = 6x^2 - 42x - 48\)

2. Set f'(x) to 0 and solve for x to find critical points:

 x = 6, -2

3. Check the function's value at the critical points and the endpoints of the interval:

\(f(-8) = 2560,  f(-2) = 72,  f(6) = -414,  f(2) = -52\)

4. Compare the values and determine the absolute minimum value, Therefore,The absolute minimum value of the function is -414 at x = 6.

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The solution for the given system of equations - 10x−2y=24, 6x+2y=8 is (2, -2).

To solve the given system of equations:

10x - 2y = 24

6x + 2y = 8

We can use the method of elimination to eliminate the variable "y" by adding the two equations together. This will result in the elimination of the "y" term:

(10x - 2y) + (6x + 2y) = 24 + 8

16x = 32

x = 2

Now that we have found the value of "x", we can substitute it back into one of the original equations to solve for "y". Let's use the second equation:

6(2) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -2

Therefore, the solution to the system of equations is (2, -2).

Please note that the solution is provided as an ordered pair with no spaces.

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The online version, because the downloaded version usually requires better equipment than the online version.

The online version of the graphic design software is likely the better option for the student using a weak computer. This is because the online version typically runs on the software provider's servers, rather than on the user's computer.

Therefore, the online version does not require as much processing power or memory from the user's computer, making it more accessible to those with weaker or older machines.

Additionally, the online version may also have the advantage of automatic updates, so the student can always have the latest version of the software without needing to manually download and install updates.

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Answer:

x = 3√2 , y = 6

Step-by-step explanation:

In given triangle,

3√2 = x

and y is hypotenuse.

Using Pythagoras theorem

hypotenuse = √Perpendicular² + Base²

hypotenuse = √(3√2)² + (3√2)²

hypotenuse = √18 + 18

hypotenuse = √36

hypotenuse = 6

So,

x = 3√2 , y = 6

Answer:

I think the second one maybe

Step-by-step explanation:

Answer:

chocolate chips

Step-by-step explanation:

The p denotes here the probability which is given below;

Given that

There is 4 oatmeal raisin

1 sugar

9 chocolate chips

And, 6 peanut butter cookies

So based on the above information, the probability when the one is chosen would be of chocolate chips as it contains the hight value in the cookie jar

So the same is to be selected

Using the product rule of probability, The probability of the stock market going up and it raining tomorrow is 0.3.

To determine the probability of the stock market going up and it raining tomorrow, you need to use the product rule of probability.

This rule states that the probability of two independent events A and B occurring together is equal to the product of their individual probabilities.

P(A and B) = P(A) x P(B)

In this case, the probability of rain tomorrow is 0.6 and the probability the stock market will go up is 0.5.

Therefore, the probability of the stock market going up and it raining tomorrow is:

P(rain and market up) = P(rain) x P(market up)

P(rain and market up) = 0.6 x 0.5P(rain and market up) = 0.3

So, the probability of the stock market going up and it raining tomorrow is 0.3.

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The percentage gain of the company is calculated to be 10%.

The percentage gain is calculated by multiplying the fraction of the gain and the initial amount by 100.

we shall calculate for the percentage gain of the company as follows:

gain = $33 - $30 = $3

initial amount = $30

percentage gain = ($3/$30) × 100

percentage gain = (1/10) × 100

percentage gain = 10%

Therefore, the percentage gain of the company is calculated to be 10%.

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The completed statement with regards to the areas of the triangle and rectangle can be presented as follows;

The length of the triangle is 9 units. The width of the rectangle is 2 units. The area of the rectangle is 18 square units.

A triangle is a three sided polygon.

The area of the triangle can be found by forming a rectangle with the original triangle and the copy of the triangle rotated 180°, to combining with the original triangle to form a rectangle that is a composite figure consisting of two triangles

The length of the rectangle is 9 units

The width of the rectangle is 2 units

The area of the rectangle is; A = 9 × 2 = 18 square units

The rectangle is formed by two triangles, therefore, the area of the triangle is half of the area of the rectangle, which is; Area of triangle = 18/2 = 9 square units

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Answer:

Step-by-step explanation:

-6 3/5 - (-7 4/15) + 2 1/5

Combine the first and third terms first

-6 3/5 + 2 1/5 = - 4 2/5

Now deal with the second term

- (- 7 4/15) = 7 4/15

7 4/15 - 4 2/5      

7 4/15 - 4 6/15           Add 15/15 to 7 4/15 Subtract 1 from the 7

6 19/15 - 4 6/15

2 13/15

Given:

Consider the given equation is:

\(y=-\dfrac{7}{2}x+\dfrac{11}{3}\)

To find:

The slope of the line that is represented by the given equation.

Solution:

The slope intercept form of a line is:

\(y=mx+b\)                                      ...(i)

Where, m is the slope and b is y-intercept.

We have,

\(y=-\dfrac{7}{2}x+\dfrac{11}{3}\)           ...(ii)

On comparing (i) and (ii), we get

\(m=-\dfrac{7}{2}\)

Therefore, the slope of the given equation is \(-\dfrac{7}{2}\).

Answer:

Step-by-step explanation:

-3.4 is the lowest temperature.

Coldest temperature is -3.4 is recorded at 3:00 pm

The temperature closest to freezing point of water is -0.15

Answer:

Step-by-step explanation:

3:00pm is the coldest

12:00pm is the closest to freezing

Answer:

Step-by-step explanation:

55*4^(33/11) = 55*4^3 = 55*64 = 3520

the probabilities for each event are Red ball: 1/5, White ball: 7/20, Yellow ball: 9/20 by using formula of  probability =possible outcome /total outcomes

To find the probability of a given event, we need to determine the number of successful outcomes and divide that by the total number of possible outcomes.

In this case, the event we want to find the probability for is not specified, so I will provide the probabilities for each color:

1. Probability of drawing a red ball:

Number of successful outcomes: 4 red balls
Total number of outcomes: 4 red + 7 white + 9 yellow = 20 balls

Probability of drawing a red ball = (Number of red balls) / (Total number of balls) = 4/20 = 1/5

2. Probability of drawing a white ball:

Number of successful outcomes: 7 white balls

Probability of drawing a white ball = (Number of white balls) / (Total number of balls) = 7/20

3. Probability of drawing a yellow ball:

Number of successful outcomes: 9 yellow balls

Probability of drawing a yellow ball = (Number of yellow balls) / (Total number of balls) = 9/20

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The numbers are 2 and 4.

Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us by how much a number differs from the other.

Addition is a way of combining things and counting them together as one large group. Addition in math is a process of combining two or more numbers.

Here we have,

The difference in two numbers is 2.

2 and 4 are two numbers away from each other.

The sum of the same two numbers is 6.

2+4=6

Hence, In least to greatest order they would be written 2, 4.

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The expression represents the height of the box will be,h=(x-3).

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

Given data;

l= (x + 6)

w=(x + 2).

The volume of the rectangle having length l, width w, and height h is;

V=lwh

f(x)=V= x³ + 7x² + 4x – 12

lwh=x³ + 7x² + 4x – 12

Substitute the given value;

\(\rm (x+5)(x-1)(h)=x^3+x^2-17x+15 \\\\ (x^2+4x-5)(h)=x^3+x^2-17x+15 \\\\\ x^2+4x-5)(h)=(x2+4x-5)(x-3) \\\\ h=(x-3)\)

Hence, the expression represents the height of the box will be,h=(x-3).

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