Explain the possible meaning for the two outliers in the scatter plot below. Write 1-2 complete sentences that explain the meaning behind those specific data points.

The inequality that shows the distance ran is 3x ≥ 4y

An equation is a expression that shows the relationship between numbers and variables.

Inequalities are used for the non equal comparison of numbers and variables.

Lena ran 3 miles each day for x days. Ivan ran 4 miles each day for y days.

Total number of miles that Lena ran = 3x

Total number of miles that Ivan ran = 4y

The total number of miles that Lena ran is at least the total number of miles that Ivan ran, hence:

3x ≥ 4y

The inequality is 3x ≥ 4y

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a) The Probability of Mowing is 0.3. b) On average, Dave charges around $40.25 per customer. c) The average cost of Dave's services varies by around $28.94.

To create the probability distribution of C, we'll consider the probabilities associated with each service option: mowing, trimming, and fertilizing.

(a) Probability distribution of C:

Let's denote the events:

A: Mowing

B: Trimming

F: Fertilizing

The given probabilities are:

P(F) = 0.55 (probability of fertilizing)

P(B) = 0.15 (probability of trimming)

P(A) = 1 - P(F) - P(B) = 1 - 0.55 - 0.15 = 0.3 (probability of mowing)

Now, we can create a table showing the probability distribution of C:

Service Probability

Mowing 0.3

Mowing + Trimming 0.15

Mowing + Fertilizing 0.55

(b) Mean of C:

To calculate the mean, we'll multiply each service option by its respective cost and sum them up:

Mean (μ) = (P(A) * $25) + (P(B) * $35) + (P(F) * $50)

= (0.3 * $25) + (0.15 * $35) + (0.55 * $50)

= $7.50 + $5.25 + $27.50

= $40.25

The mean cost for a randomly selected customer is $40.25.

(c) Standard deviation of C:

To calculate the standard deviation, we'll need the variance. The variance (σ²) is calculated as follows:

Variance (σ²) = [(Cost₁ - Mean)² * P(Event₁)] + [(Cost₂ - Mean)² * P(Event₂)] + ...

Let's calculate the variance:

Variance (σ²) = [(25 - 40.25)² * 0.3] + [(35 - 40.25)² * 0.15] + [(50 - 40.25)² * 0.55]

= [(-15.25)² * 0.3] + [(-5.25)² * 0.15] + [(9.75)² * 0.55]

= 346.5 + 14.89 + 475.12

= 836.51

Now, the standard deviation (σ) is the square root of the variance:

Standard deviation (σ) = sqrt(836.51)

≈ 28.94

The standard deviation of C is approximately 28.94.

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Explanation:

There are 6 toppings and we pick two different ones. If order mattered, then there would be 6*5 = 30 permutations. However, order doesn't matter. So we divide that result by 2 and we get 30/2 = 15 combinations.

15 groups of 2 different toppings can go on an order of ice cream

An arrangement of objects where the order in which the objects are selected does not matter.

Given that Mackenzie's ice cream shop lets customers choose 2

toppings from the list below to add to their ice cream:

which are Hot fudge, Sprinkles, Caramel, Strawberries, Whipped cream

and Chocolate chips.

We need to find the number of groups of different toppings can go on

an order of ice cream.

There are 6 toppings and we pick two different ones

There would be 6*5 = 30 permutations if the order mattered.

we divide that result by 2 because the customer can choose any two and we get 30/2 = 15 combinations.

Hence, 15 groups of 2 different toppings can go on an order of ice cream

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Answer:

Answer: C) diameter is twice the radius

Step-by-step explanation:

edge2021

Answer:

thanks

Step-by-step explanation:

Answer:

about 5 boxes

Step-by-step explanation:

2 *40/15 Please give brainliest

Answer:

Four hours and 40 minutes

Step-by-step explanation:

15 per  2 hours = 40/15=2.666666666667

Two thirds of an hour is 40 minutes

Beginning with line 1325 in Sophocles' play Antigone, the messenger shares several key events with Eurydice, Creon's wife.

Firstly, the messenger reveals that Haemon, Creon's son and Eurydice's beloved, has died. He explains that Haemon was found weeping over Antigone's body and that, in his grief, he took his own life. This news is devastating for Eurydice, who is already grieving the loss of her son Megareus. The messenger then goes on to reveal that, upon hearing of her son's death, Eurydice also took her own life. This final blow leaves Creon completely alone, having lost both his son and his wife.

These key events mark a tragic turning point in the play, as the consequences of Creon's stubbornness and pride come to a devastating conclusion.

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Final Answer:  a. 160 lb

a . Load Limit is 4000 lb and number of passengers that are allowed is 25.

So maximum mean weight = (Total load limit)/(number of passengers)

maximum mean weight = 4000/25 = 160

Hence Maximum mean weight is 160.

b.

The comparison of the expressions is 7 + 3² -2  * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²

From the question, we have the following parameters that can be used in our computation:

7 + 3^2-2x5÷4-1x2 and (¾+ ⅛) ÷ ⅛ - 2^2

Express the exponents properly

This gives

7 + 3² -2  * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 2²

Evaluate the exponents

So, we have the following representation

7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 4

Evaluate the expressions in brackets

So, we have the following representation

7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and 7/8 ÷ ⅛ - 4

Solve the products and quotients

7 + 9 - 2.5 - 2 and 7 - 4

So, we have

11.5 and 3

11.5 is greater than 3

So, we have

11.5 > 3

Rewrite as

7 + 3² -2  * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²

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The simplest form of the given expression is -20k + 126.

To find the simplest form of the expression 8(5k+7)−10(6k−7), follow these steps:
1. Distribute the numbers outside the parentheses to the terms inside the parentheses:
  8 × 5k + 8 × 7 - 10 × 6k + 10 × 7
2. Perform the multiplication:
  40k + 56 - 60k + 70
3. Combine like terms (terms with the same variable and exponent):
  (40k - 60k) + (56 + 70)
4. Simplify the expression by performing the subtraction and addition:
  -20k + 126
The simplest form of the given expression is -20k + 126.

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Answer:

15.7

Step-by-step explanation

hard to explain

The value of the integral ∫\(e^{cos(t)\) sin(2t) dt over the interval [0, π] is 0.

The summing of discrete data is indicated by the integration. To determine the functions that will characterise the area, displacement, and volume that result from a combination of small data that cannot be measured separately, integrals are calculated.

To evaluate the integral ∫\(e^{cos(t) sin(2t)} dt\) over the interval [0, π], we can use integration by parts with the substitution u = sin(t) and dv = \(e^{cos(t)cos(t)}dt\). Then, du = cos(t)dt and \(v = e^{cos(t)\).

Using this substitution and the formula for integration by parts:

∫\(e^{cos(t) sin(2t)} dt\) = \(-e^{cos(t) sin(t)}\) + ∫\(e^{cos(t) cos(t)} dt\)

We can use another substitution, z = cos(t), to simplify the integral on the right-hand side:

∫\(e^{cos(t) cos(t)} dt = \int e^{z} dz = e^z + C\)

Substituting back to the original integral, we get:

∫\(e^{cos(t) sin(2t)} dt = -e^{cos(t) sin(t)} + e^{cos(t)} + C\)

Evaluating the definite integral over the interval [0, π], we get:

∫[0,π] \(e^{cos(t) sin(2t)} dt = -e^{cos(\pi ) sin(\pi )} + e^{cos(\pi )} - (-e^{cos(0) sin(0)} + e^{cos(0)})\)

Simplifying the trigonometric terms sin(π) = 0 and sin(0) = 0, and using the fact that cos(π) = -1 and cos(0) = 1, we get:

∫[0,π] \(e^{cos(t)\) sin(2t) dt = \(-e^{-1} + e^{-1} = 0\)

Therefore, the value of the integral ∫\(e^{cos(t)\) sin(2t) dt over the interval [0, π] is 0.

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Answer:

14°

Step-by-step explanation:

Supplementary angles add up to 180° so subtract 166 from 180.

Answer:

Step-by-step explanation:

Perimeter formula:

Substitute the measures:

The answer options are unclear so you choose which is same with above.

Answer:

Perimeter of the Rectangle = 2 × ( Length + Width )

Here,

Width = ( 9h - 1 ) centimetres

Length = ( 2h - 4 ) centimetres

Perimeter = 2 × ( 2h - 4 + 9h - 1 )

Perimeter = 2 × ( 11h - 5 )

Perimeter = ( 22h - 10 ) centimetres

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

2km

Step-by-step explanation:

Answer:

jklfhgugt

Step-by-step explanation:

The compound inequality describing the amount of money Daniela saved is 60 ≤ n ≤ 104.

To find the compound inequality that describes how much money Daniela saved, let's first determine the range of Julian's savings. We know that Julian saved between $30 and $52 over the summer. Therefore, we can express this as the compound inequality:

30 ≤ Julian's savings ≤ 52

Now, we are given that Daniela saved twice as much as Julian. Let's represent the amount of money Daniela saved with 'n.' Since Daniela saved twice as much as Julian, we can express her savings as:

n = 2 * Julian's savings

Substituting the inequality for Julian's savings, we have:

n = 2 * (30 ≤ Julian's savings ≤ 52)

To simplify, we can distribute the 2:

n = (2 * 30) ≤ (2 * Julian's savings) ≤ (2 * 52)

This becomes:

n = 60 ≤ 2 * Julian's savings ≤ 104

Hence, the compound inequality that describes how much money Daniela saved is:

60 ≤ n ≤ 104

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DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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Answer:

\(E=2.15\times 10^{-4}\ J\)

Step-by-step explanation:

Given that,

The capacitance of the capacitor, \(C=2.2\times 10^{-6}\ F\)

Voltage of the power supply, V = 14 V

We need to find the energy stored in the capacitor.

The formula for the stored energy in the capacitor is given by :

\(E=\dfrac{1}{2}CV^2\)

Put all the values,

\(E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J\)

So, \(2.15\times 10^{-4}\ J\) of energy is stored in the capacitor.

Shortest distance between start and end point is 55.9 miles

According to given statement,

Terry had to travel south 50 miles and then west 25 miles.

We are taking X as a start point and Z is end point.

In triangle XYZ, we are taking angle Y to be of 90 degrees, which qualifies the Triangle XYZ to qualify Pythagorean theorem [The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right angle triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.]

XY = 50 miles

YZ= 25 miles

XZ^2 = XY^2 + YZ ^2

XZ^2 = (50) ^2 + (25) ^2 = 3125

XZ = 55.9

Shortest distance between start and end point is 55.9 miles

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Answer:

B

Step-by-step explanation:

Let's go through each set of dimensions and test them. Keep in mind that two times the sum of the length and width of a rectangle yields the perimeter.

A) 2(12+10)=2(22)=44

B) 2(50+10)=2(60)=120

This works! Therefore, the correct answer is choice B. Hope this helps!

Answer:

the answer is B

Step-by-step explanation:

To find the intersection point(s) of the two equations y = 2x² – 5x+9 and y = 2x² + 5x-1, we can set the equations equal to each other and solve for x.

2x² – 5x+9 = 2x² + 5x-1

10x = -10

x = -1

Substitute x = -1 into either equation to find y:

y = 2(-1)² – 5(-1) + 9 = 16

Therefore, the intersection point of the two equations is (-1, 16).

To solve for the intersection point(s) of two equations, we need to set the two equations equal to each other and solve for the variable. In this case, we set y = 2x² – 5x+9 equal to y = 2x² + 5x-1, giving us the equation 2x² – 5x+9 = 2x² + 5x-1.

Simplifying this equation, we get 10x = -10, which gives us x = -1. Then, we substitute x = -1 into one of the equations to find the value of y. In this case, using y = 2x² – 5x+9, we get y = 2(-1)² – 5(-1) + 9 = 16. Therefore, the intersection point of the two equations is (-1, 16).

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Answer:

You would plant 2 trees in each row instead of 4.

10 divided by 5 = 2