Use the accompanying data set to complete the following actions. a. Find the quartiles. b. Find the interquartile range. c. Identify any outliers. 41 52 35 43 41 36 39 47 43 37 34 56 42 34 15 52 38 51 30 30 a. Find the quartiles. The first quartile, Q1, is _______ The second quartile, Q2, is _____ The third quartile, Q3, is _______

Answer:

24

Step-by-step explanation:

The order of operations is:

Parentheses, Exponents, Multiplication, Division (left to right), Addition, Subtraction (left to right)

Left to right means whichever comes first.

Now let's solve

3*4=12

12/2=6

24-6+6=18+6=24

Answer:

24

Step-by-step explanation:

PEMDAS

first you multiply -3×4=-12

24-12÷2+6

then divide -12/2=-6

24-6+6

add -6+6=0

24+0

subtract 24+0=24

Answer:

y-1=2(x-2)

Step-by-step explanation:

Since the slope is 2, that number is multiplied by x. Then the y subtracts the x value point and the x subtracts the y.

An equation in point-slope form of the line that passes through the point (2,1) and has a slope of 2 is y=2x-3.

Given that, the coordinate point is (2, 1) and slope m = 2.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point. The standard form of the slope intercept form is y=mx+b.

Put (x, y) = (2, 1) and m = 2 in y=mx+b and solve for b.

That is, 1=2(2)+b

⇒ b = -3

Now, substitute m = 2 and b = - 3.

So, y=2x-3

Therefore, an equation in point-slope form of the line that passes through the point (2,1) and has a slope of 2 is y=2x-3.

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Answer:

(-2,4)

I just turned it in it was right

Step-by-step explanation:

PLEASE MARK BRAINLIEST

None of the statements A, B, or C can be determined to be true based on the given information. we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.

To determine which statement is true, let's analyze the given information.  We have:

P(B) = 4/1

P(A∪B) = 2/1

P(A|B) = 3/2

Let's evaluate each statement:

A) P(A) = 3/1

This statement is not directly supported by the given information. We cannot determine the value of P(A) solely based on the provided probabilities.

B) P(A∩B) = 12/1

This statement is also not supported by the given information. We do not have enough information to determine the value of P(A∩B).

C) P(B|A) = 5/1

This statement is not supported by the given information. We do not have any direct information about P(B|A), so we cannot determine its value.

D) A and B are not independent.

To determine whether A and B are independent, we can check if P(A∩B) = P(A) * P(B). However, as mentioned earlier, we do not have enough information to determine the value of P(A∩B). Therefore, we cannot conclude whether A and B are independent based on the given information.

In summary, none of the statements A, B, or C can be determined to be true based on the given information. The only conclusion we can draw is that we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.

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The cumulative distribution function of x is 0.60.

Here X has discrete probability distribution.

\($$\begin{aligned}&\mathrm{P}(\mathrm{X}=1)=0.30 \\&P(X=3)=F(3)-F(1)=0.40-0.30=0.10 \\&P(X=4)=F(4)-F(3)=0.45-0.40=0.05 \\&P(X=6)=F(6)-F(4)=0.60-0.45=0.15 \\&P(X=12)=F(12)-F(6)=1-0.60=0.40\end{aligned}$$\)

Following table shows the pmf:

X P(X=x)

1 0.3

3 0.1

4 0.05

6 0.15

12 0.4

Following is the graph of CDF is [SEE in attachement]

\($P(3 \leq X \leq 6)=F(6)-F(1)=0.60-0.30=0.30$$P(X \geq 4)=1-F(3)=1-0.40=0.60$\)

The probability function that X will have a value less than or equal to x is known as the Cumulative Distribution Function (CDF) of a real-valued random variable X, evaluated at x. It is employed to describe a table's random variables' probability distribution.

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

Using the Euclidean distance between pairwise observations, the pairwise observation is most dissimilar is Observations 1 & 3. The correct answer is A.

In order to determine the most dissimilar pairwise observation using the Euclidean distance, we need to calculate the distance between each pair of observations. The Euclidean distance between two observations is the square root of the sum of the squared differences between their corresponding values in each variable.

For example, for observations 1 and 2:

d(1,2) = √((2-5)² + (22-21)²) = √(9 + 1) = √(10)

We can calculate the distances between all pairs of observations and then identify the pair with the largest distance as the most dissimilar.

d(1,2) = √(10)

d(1,3) = √((2-12)² + (22-1)²) = √(1400)

d(2,3) =√((5-12)² + (53-1)²) = √(1865)

Therefore, the most dissimilar pairwise observation is between observations 1 and 3 with a distance of √(1400). The correct answer is A.

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Total number of baseball cards will be given by expression 129 + c.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that represents a value or a quantity. Expressions can be written using various mathematical symbols such as addition, subtraction, multiplication, division, exponents, and parentheses.

Now,

If Raina had 129 baseball cards yesterday and got c more today, then the expression for the total number of baseball cards will be calculated after adding

So,

she has now can be written as:

Total number of baseball cards = 129 + c

Here, c represents the number of additional baseball cards that Raina got today, and the expression 129 + c gives us the total number of baseball cards she has now, including the cards she had yesterday and the new ones she got today.

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Answer:

Step-by-step explanation:

The answer is the United states Supreme Court suported segreation

Answer:

21

Step-by-step explanation:

1, 3, 7, 21

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(\frac{1}{4} + \frac{4}{6}\) =

\(\frac{3}{12} + \frac{8}{12}\) =

\(\frac{11}{12}\)

Hope this helped! <3

The number of hot water bottles sold is 12.

Let the number of hot water bottles sold be x.

Given that the customer bought 10 times as many thermometers as hot water bottles.

So the number of number of thermometer is = 10x.

Cost of each thermometers is = $2.

So the cost of '10x' number of thermometers is = $2*10x = $20x.

Cost of each hot water bottles = $6.

So the cost of 'x' hot water bottles is = $6x.

So the total sales = $20x + $6x = $26x.

Given that the total sales according to data is $312.

So the equation which best fit this situation is,

26x = 312

x = 312/26 = 12

Hence the number of hot water bottles sold is 12.

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Answer:

5.8

Step-by-step explanation:

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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It is a function. None of the x values repeat

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Row ships

Step-by-step explanation:

They helped because a lot of travel took place on the Mediterranean Sea which was a massive body of water that led to the coasts of trading locations.

Answer:    72

Step-by-step explanation: just ask safary, 80% of 90 to get 72

A student must answer 72 questions correctly out of the 90 questions on the test to achieve an 80% accuracy rate and pass the test.

To pass the test with an 80% score, a student must answer 72 questions correctly out of the total 90 questions. This can be calculated by first finding out what 80% of 90 is, which can be done by multiplying 0.8 (the decimal form of 80%) by 90:

0.8 x 90 = 72

Therefore, a student needs to answer at least 72 questions correctly to pass the test with an 80% score.

To determine the number of questions a student must answer correctly to pass the test, we will use the given criteria: the student needs to achieve 80% accuracy, and there are 90 questions on the test.

To find the required number of correct answers, we will multiply the total number of questions (90) by the percentage required to pass (80%). The formula for this calculation is:

(Number of correct answers) = (Total questions) × (Percentage required to pass)

In our case, this translates to:

(Number of correct answers) = (90) × (80%)

Converting the percentage to a decimal value by dividing it by 100, we get:

(Number of correct answers) = (90) × (0.8)

Now, we multiply the values:

(Number of correct answers) = 72

Therefore, a student must answer 72 questions correctly out of the 90 questions on the test to achieve an 80% accuracy rate and pass the test.

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Answer:

True

Step-by-step explanation:

to determine if the point is a solution, substitute x = - 0.6 and y = 1 into the left side of the inequality and compare resul with right side.

2y + 5x + 7

= 2(1) + 5(- 0.6) + 7

= 2 - 3 + 7

= - 1 + 7

= 6 > 3 ← True

then (- 0.6, 1 ) is a solution of the inequality

Answer:

c. subtract, then divide

Step-by-step explanation:

pls mark me as brainliest

Answer:

Step-by-step explanation:

Interquartile R range of an ungrouped data is expressed as R = Q3-Q1 where;

Q3 is the third quartile

Q1 is the first quartile

Given the Car Dealership Number of Cars Sold GMC as 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72

First let us arrange them in ascending order;

72, 80, 81, 84, 92, 92, 94, 95

Q3 = 3(n+1)/4 th observation where n is the total number of cars

Q3 = 3(8+1)/4 = 27/4

Q3 = 6.75th observation

Q3 = 6th obsrvation - 0.75(7th observation - 6th observation)

Q3 = 92-0.75(94-92)

Q3 = 92-0.75(2)

Q3 = 90.5

The 6.75th observation of the data is 90.5

Q1 = (n+1)/4 th observation where n is the total number of cars

Q1 = (8+1)/4 = 9/4

Q1 = 2.25th observation

Q1 = 2nd observation - 0.25(3rd observation - 2nd observation)

Q1 = 80-0.25(81-80)

Q1 = 80-0.25(1)

Q1 = 79.75

Interquartile range = Q3 - Q1

Interquartile range = 90.5 - 79.75

Interquartile range = 10.75

Answer:

the answer is 12.5

Step-by-step explanation: i got it right on edge. :)

The solution is yes, because (a+c) =b

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

Y = a, where an is the y-coordinate of the line's points, is the equation for lines that are horizontal or parallel to the X-axis. A straight line that is vertical or parallel to the Y-axis has the equation x = a, where an is the x-coordinate of each point along the line.

According to the given question:-

Given that y=x is the line's equation.

Two points on this line are B and C.

As (a+c, b), the midpoint of B and C is shown.

This demonstrates that applying the midpoint formula

a+c=(x1+x2)/2

b=(y1+y2)/2

Both points are on y=x, thus we obtain

x1 = y1 and x2 = y2.

Thus, 2y1 = 2b or y1 = b and x1 = a+c

X1 = Y1, thus a + c = b.

In other words, the midpoint's coordinates meet the equation y=x.

The result is

Yes, since (a + c ) = b

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Answer:

B. y = -6

Step-by-step explanation:

You can graph each line to see which one is horizontal since the y-axis is vertical. This would make the lines perpendicular since when a vertical and horizontal line meet, they form a 90-degree angle, which is by definition what perpendicular means.

Answer:

i think that the answer is b. y=-6

Answer:

x is greater than -5

Step-by-step explanation:

Answer:

it either d or b

Step-by-step explanation:

the derivative of y = -\(x^2\) + 5x + 2 is  dy/dx = -2x + 5. . For y = 2\(x^2\) - 8x + 10 the  dy/dx = 4x - 8. for y = -2\(x^2\)+ 9x - 1 the  dy/dx = -4x + 9, after differentiation.

a. To find the derivative of y = -\(x^2\) + 5x + 2, we differentiate each term with respect to x. The power rule states that for a term of the form \(x^n,\) the derivative is n*\(x^(n-1)\). Applying this rule, we get:

dy/dx = -2x + 5

b. For y = 2\(x^2\)- 8x + 10, we again differentiate each term using the power rule:

dy/dx = 4x - 8

c. Lastly, for y = -2\(x^2\)+ 9x - 1, we differentiate each term:

dy/dx = -4x + 9

In each case, we obtain the derivative of y with respect to x. The resulting derivatives represent the instantaneous rate of change of y with respect to x at any given point on the curve. They also indicate the slope of the tangent line to the curve at that point. By finding the derivatives, we gain insight into the behavior and characteristics of the functions, such as the direction of increasing or decreasing values and the presence of maximum or minimum points.

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======================================================

Explanation:

Pick two points from the table such as (1,7) and (2,14)

Apply the slope formula.

\((x_1,y_1) = (1,7) \text{ and } (x_2,y_2) = (2,14)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{14 - 7}{2 - 1}\\\\m = \frac{7}{1}\\\\m = 7\\\\\)

This means y = mx+b updates to y = 7x+b

Plug a point like (1,7) into that equation to solve for b.

y = 7x+b

7 = 7*1+b

7 = 7+b

7-7 = b

0 = b

b = 0

We go from  y = 7x+b to  y = 7x+0

That simplifies to the final answer of   y = 7x

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

Check:

Plug x = 2 to get

y = 7x

y = 7*2

y = 14

This shows (2,14) is on the line, and it matches with the table.

I'll let you check the other x values.

Another way to verify is to use a graphing app like GeoGebra or Desmos.

Answer: y+7x

Step-by-step explanation: y equals to 7x because 7x1 is 1 and vice versa.

The most appropriate method for creating an estimate of the percent of district residents who support the building of a new middle school would be  v. A one-sample z-interval for a population proportion.

In this case, the superintendent wants to estimate the proportion (percentage) of district residents who support the building of a new middle school. To achieve this, a random sample of district residents can be selected, and the proportion of residents in the sample who support the new middle school can be calculated.

Since the sample size is relatively large (as it is a large school district), the sampling distribution can be assumed to follow a normal distribution. Therefore, a one-sample z-interval for a population proportion is suitable for estimating the proportion of district residents who support the new middle school.

Using this method, a confidence interval can be constructed around the sample proportion, providing an estimate of the true proportion of district residents who support the new middle school, along with a measure of uncertainty.

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Susie needs to select minimum 14 to be sure to get 6 marbles of the same color.

With replacement

(3R, 7G, 10B)

P(at least 1 red marble) = 1- p(no red marbles) = 0.5563

P(2R, 2G, 2B) = 0.0827

P(4B, 4G) = 0.0657

Without replacement

P(at least 1 red marble) = 1- p(no red marbles) = 0.6009

P(2R, 2G, 2B) = 0.0731

P(4B, 4G) = 0.0583

if we select 3+5+5=13 marbles then there is only one way that we won't have at least 6 marbles of the same color when 3R, 5G and 5B are selected, so to get 6 marbles of the same color, we need to select minimum 14, then we will be 100% sure.

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Answer:

Yes, John did write his systems of equations correctly.

Step-by-step explanation:

FedEx charges him a flat rate of $5, so the 5 stands alone in the problem, and $0.50 per pound, so the 0.5 stands with the x because it represents each pound.

UPS doesn't charge him a flat rate so there is no stand-alone number. Since they charge $2 per pound, 2 is with the x, again representing each pound.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The system of equations used is:

y = 5 + 0.50x

y = 2x

Yes, the system of equations is used correctly.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 5 = 9 is an equation.

We have,

FedEx:

Cost of x pounds.

y = 5 + 0.50x

For x = 2.

= 5 + 1

= 6

UPS:

Cost of x pounds.

y = 2x

For x = 2.

= 2 x 2

= 4

We see that,

The cheaper carrier is FedEx.

Thus,

The system of equations used is:

y = 5 + 0.50x

y = 2x

Yes, the system of equations is used correctly.

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