The estimated relationship may not hold for all levels of TV advertising, and there may be non-linearities or interactions with other variables that should be taken into account in a more sophisticated model.
What is the interpretation of this relationship?
To develop an estimated regression equation to estimate weekly gross revenue with the amount of television advertising as the independent variable, we would need a dataset that includes information on both variables. Assuming we have such a dataset, we could use linear regression to estimate the relationship between the two variables.
The estimated regression equation would take the form:
Weekly Gross Revenue = [tex]b_0 + b_1[/tex]×Amount of TV Advertising + error
where [tex]b_0[/tex] is the intercept (the value of weekly gross revenue when the amount of TV advertising is zero), [tex]b_1[/tex] is the slope (the estimated increase in weekly gross revenue associated with a one unit increase in TV advertising), and error represents the random variation in the relationship between the two variables that is not explained by the model.
The interpretation of the relationship between weekly gross revenue and amount of TV advertising would depend on the sign and magnitude of the slope coefficient
[tex](b_1)[/tex]. If [tex]b_1[/tex] is positive, it would suggest that an increase in TV advertising is associated with an increase in weekly gross revenue. The magnitude of [tex]b_1[/tex] would indicate the strength of this relationship - a larger positive value of[tex]b_1[/tex] would indicate a stronger relationship between TV advertising and weekly gross revenue.
If [tex]b_1[/tex] is negative, it would suggest that an increase in TV advertising is associated with a decrease in weekly gross revenue. This could occur if the advertising is perceived as irritating or offensive to viewers, leading them to avoid the advertised product or service.
It is important to note that correlation does not imply causation, and there may be other factors that affect weekly gross revenue that are not captured in the model.
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I need help asap please show me you got the answer
Answer: 0.098 is the answer
Step-by-step explanation:
can't get this rule answer. I got it wrong...
The two true statements about the axis of symmetry are the first and second ones, so the correct option is the second one (counting from the top)
What can we say about the axis of symmetry?The axis of symmetry is a of a quadratic equation is a line that cuts the parabola in two equal halves.
For a quadratic of the form:
y = ax² + bx + c
Where the vertex is (h, k)
The axis of symmetry is the line of the form:
x = h
Then the two true statements are i and ii, the third and fourth statements are false because the vertex can be either a maximum or minimum, so we can't apply these restrictions.
Then the correct option is the second one.
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Write the equation of the circle with center (-2,15) and radius 3.
Answer:
[tex]( x + 2 )^{2} +(y-15)^{2} =9[/tex]
Hope this helps!
Step-by-step explanation:
for a time series for simple exponential smoothing, a larger alpha is smoother than a shorter period. group of answer choices true false
The important to select the appropriate value of alpha based on the characteristics of the data and the goals of the forecasting model.
The statement "for a time series for simple exponential smoothing, a larger alpha is smoother than a shorter period" is true.
In simple exponential smoothing, the forecast for the next period is based on the previous forecast and the difference between the actual value and the previous forecast. The smoothing parameter alpha controls the weight given to the most recent observation compared to the previous forecasts.
A larger alpha places more weight on the most recent observation, resulting in a forecast that is more responsive to recent changes in the data. As a result, the forecast will exhibit less volatility or variability, making it smoother. This means that a larger alpha will lead to a more stable forecast with less fluctuation around the trend.
On the other hand, a smaller alpha places less weight on the most recent observation, resulting in a forecast that is less responsive to recent changes in the data.
As a result, the forecast will be more volatile or variable, making it less smooth. This means that a smaller alpha will lead to a forecast that is more susceptible to fluctuations around the trend.
In summary, the choice of alpha is a trade-off between stability and responsiveness to changes in the data. A larger alpha will lead to a smoother forecast, while a smaller alpha will lead to a more volatile forecast.
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Can a non-complex equation have 2 horizontal asymptotes? Excluding piecewise equations, o course. Also, what about 2 vertical asymptotes? And using a complex number as x could an equation pass the vertical asymptote? What about the horizontal one?
Answer:
No, a non-complex equation cannot have 2 horizontal asymptotes. By definition, a horizontal asymptote is a horizontal line that the function approaches as x goes to positive or negative infinity. If there were two horizontal asymptotes, the function would have to approach two different horizontal lines as x goes to infinity, which is not possible for a single-valued function.
Similarly, a non-complex equation cannot have 2 vertical asymptotes. A vertical asymptote is a vertical line where the function approaches infinity or negative infinity as x approaches the line from either side. If there were two vertical asymptotes, the function would have to approach infinity or negative infinity as x approaches each line, which is not possible for a single-valued function.
Using a complex number as x does not change the behavior of asymptotes. If a function has a vertical asymptote at a real number, it will still have a vertical asymptote at that number when x is a complex number. Similarly, if a function has a horizontal asymptote, it will still have a horizontal asymptote when x is a complex number.
However, if a function has a vertical asymptote at a complex number, it may behave differently depending on the direction in which x approaches the asymptote. If the function approaches different values as x approaches the asymptote from different directions, then the function may not have a limit at the complex number and may not have a vertical asymptote. Similarly, if a function has a horizontal asymptote and is not defined for complex values of x, then it may not have a limit at infinity and may not have a horizontal asymptote.
Step-by-step explanation:
Gus's and ike's combined running distance this week was 48 miles. If Gus ran three times as far as ike, how many miles did ike run?
Ike ran 12 miles and Gus ran 36 miles based on equation solving.
Assume that x is a representation of Ike's running distance. Gus ran three times as far as Ike, so his distance was three times Ike's.
Gus and Ike travelled a total of 48 miles, as far as we know. Thus, we can create the following equation:
x + 3x = 48
When we simplify this equation, we obtain:
4x = 48
When we multiply both sides by 4, we get:
x = 12
Ike afterwards ran 12 kilometres.
To confirm, we may calculate Gus's running distance by dividing Ike's distance by three:
3x = 3(12) = 36
And we can confirm that the total of their separations is 48:
12 + 36 = 48
Gus ran 36 miles while Ike ran 12 miles.
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What is the best definition of the term opportunity cost?
Answer:
the value of what you lose when you choose from two or more alternatives
Step-by-step explanation:
whoever tells me the correct answer wins
The commute times are shorter for City A but more predictable for City B. Thus, option c is correct.
What is interval?In mathematics, an interval is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set. An interval can be written using interval notation, which uses parentheses, square brackets, or a combination of both to indicate whether the endpoints of the interval are included or excluded.
The interval [1, 5] represents a set of real numbers that includes all the numbers between 1 and 5, including 1 and 5 themselves. The square brackets indicate that the endpoints of the interval are included in the set. The left bracket "[" indicates that the interval includes the number 1, and the right bracket "]" indicates that the interval includes the number 5.
In interval notation, we can write this interval as:
[1, 5] = {x | 1 ≤ x ≤ 5}
This means that the set of all real numbers x, such that x is greater than or equal to 1 and less than or equal to 5, is equal to the interval [1, 5].
Graphically, we can represent this interval on a number line as follows:
|-----|-----|-----|-----|-----|
0 1 2 3 4 5
The interval [1, 5] is the closed interval between 1 and 5, including both endpoints, so we use closed circles to indicate that the endpoints are included in the interval:
|-----|-----|-----|-----|-----|
0 1 2 3 4 5
[ ○-----○ ]
1 5
The interval includes all the numbers on the number line between 1 and 5, including 1 and 5 themselves, but no other numbers outside of that range.
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a pet needs 5 mg/kg of albon po sid on day 1, then 2.5 mg/kg po sid for 5 more days. the medication is available in 125-mg tablets and the pet weighs 25 lb. how many tablets will be dispensed for the owner?
The pet will need 3 tablets of Albon for the treatment. This can be answered by the concept of Simple mathematics.
To calculate the required dosage, we need to convert the pet's weight from pounds to kilograms, which gives us 11.36 kg. On day 1, the pet requires 5 mg/kg of Albon, which amounts to 56.8 mg. Since each tablet contains 125 mg, we need to give the pet 0.454 tablets (56.8/125) which we will round up to 1 tablet. For the next 5 days, the pet requires 2.5 mg/kg of Albon, which amounts to 28.4 mg.
Therefore, we will give the pet 0.227 tablets (28.4/125) which we will round up to 1/4 of a tablet (0.25 tablets) each day. So, over the course of 6 days, the total number of tablets needed will be 1 + (0.25 x 5) = 2.25, which we will round up to 3 tablets.
Therefore, the owner will need to be dispensed with 3 tablets of Albon for the pet's treatment.
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Which statement describes the end behavior of this absolute value function?
As x approaches positive infinity, f(x) approaches positive infinity.
What is the absolute value function?In algebra, an absolute value function is a function where the variable is inside the bars denoting absolute values. The absolute value function is also known as the modulus function, and its most popular representation is f(x) = |x|, where x is a real number.
Here,
We have to find the end behavior of this absolute value function.
In the graph, it is shown that the absolute value function has a maximum of 3 at x = 3.
The function f(x) reaches positive infinity in both cases when x reaches either minimum or maximum value.
Hence, As x approaches positive infinity, f(x) approaches positive infinity.
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Sams electric bill was $200 dollars for the month of June. The air conditional accounts for 1/2 of the bill and the water heater accounts for 1/5 of the bill. How much did it cost to one each appliance in June?
Answer:
$100 for air conditioning and $40 for water heater
Step-by-step explanation:
$200÷2= 100
200÷5= 40
the weights of bags filled by a machine are normally distributed with a standard deviation of 0.04 kg and a mean that can be set by the operator. at what level should the mean be set if it is required that only 1% of the bags weigh less than 9.5 kg?
At μ = 10.0932 level should the mean be set if it is required that only 1% of the bags weigh less than 9.5 kg.
Given Data:
σ = 0.04 kg
x = 9.5 kg
We want to determine μ such that: P(X ≤ 9.5)= 1% = 0.01
Thus, we know here probability of x is 0.1 which is less than 9.5
so here Z is -2.326 by the standard table
Determine the z-score in the normal probability table in the appendix that has a probability closest to 0.01:
Then, we have here 1% to left when Z is - 2.326
Now,
The value corresponding to the z-score is then the mean increased by the product of the z-score and the standard deviation:
x = μ+ zσ
= μ− 2.33(0.04) = μ - 0.0932
Since , P(X ≤ 9.5) = 0.95% = 0.095, we know that x also has to be equal to 9.5:
μ− 0.0932 = 9.5
Add 0.0932 to each side of the previous equation:
μ = 10+ 0.0932
= 10.0932
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is it possible to find a set of bij and cij such that the state-space equation is controllable? observable?
The controllability and observability matrices of the given state-space equation were calculated, but no set of bij and Cij was found to make the system controllable or observable. Therefore, the system is not controllable or observable.
To determine whether the given state-space equation is controllable and observable, we need to check the controllability and observability matrices.
The controllability matrix is given by:
[ B AB A^2B A^3B A^4B ]
where A and B are the state and input matrices, respectively.
The observability matrix is given by:
[ C ]
[ CA ]
[ CA^2 ]
[ CA^3 ]
[ CA^4 ]
where C is the output matrix.
Using the given state-space equation, we can calculate the controllability and observability matrices as follows:
A = [ 1 0 0 0 0 ]
[ L0 1 0 0 1 ]
[ b12 1 0 0 0 ]
[ 0 0 1 0 0 ]
[ b21 bzz 0 1 1-L ]
B = [ 0 ]
[ 0 ]
[ 0 ]
[ 0 ]
[ 1 ]
C = [ 1 0 0 0 0 ]
[ 0 1 0 0 0 ]
[ 0 0 1 0 0 ]
Controllability Matrix:
[ B AB A^2B A^3B A^4B ] =
[ 0 0 0 0 1 ] [ 0 0 0 0 0 ] [ 0 0 0 0 0 ] [ 0 0 0 0 0 ]
[ 0 0 0 0 0 ]
[ 0 0 0 0 0 ] [ 0 0 0 0 0 ] [ 0 0 0 0 0 ] [ 0 0 0 0 0 ]
[ 0 0 0 0 0 ]
[ 0 0 0 0 0 ] [ 0 0 0 0 0 ] [ 0 0 0 0 0 ] [ 0 0 0 0 0 ]
[ 0 0 0 0 0 ]
[ 0 0 0 0 0 ] [ 0 0 0 0 0 ] [ 0 0 0 0 0 ] [ 0 0 0 0 0 ]
[ 0 0 0 0 0 ]
[ 0 bzz b21bzz 0 Lb51 ] [ 0 L0 b12bzz Lb51 0 ] [ L0 b12bzz L0b21bzz 0 0 ]
[ b12bzz 0 L0b21bzz 0 0 ] [ 0 0 L0b12bzz 0 0 ]
Observability Matrix:
[ 1 0 0 0 0 ] [ 1 0 0 0 0 ] [ 1 0 0 0 0 ] [ 1 0 0 0 0 ] [ 1 0 0 0 0 ]
[ 0 1 0 0 0 ] [ 0 L0 1 b12 1 ] [ L0 b12bzz L0b21bzz 0 0 ] [ b12bzz 0 L0bb21bzz 0 0 ]
To elaborate on the solution, the controllability matrix shows that some of the columns are linearly dependent on the others, which means that it is not possible to find a set of inputs that can steer the system from any initial state to any desired state in finite time. Similarly, the observability matrix shows that some of the rows are linearly dependent on the others, which means that it is not possible to uniquely determine the state of the system from the output measurements.
Therefore, the system is not controllable or observable, and it cannot be controlled or accurately estimated using the given state-space equation.
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--The given question is incomplete, the complete question is given
" Is it possible to find a set of bij and a set of Cij such that the following state-space equation is controllable? Observable? (If the answer is yes, find a set) i(t) = 1 0 0 0 LO 1 0 0 01 5611 b12 1 0 0 0 |b21 bzz 0 1 1 0 X(t) + b31 b32|u(t) 0 0 1 0 | b41 buz 0 0 0 1- Lb51 652 [C11 y(t) = C21 C31 C12 C22 C32 C13 C23 C33 C14 C24 C34 C15 C25 x(t) C35
The graph below shows the number of inches of rain during the summer months of 2009 and 2010.
How many more inches of rain occurred during the summer of 2010 than during the summer of 2009?
0.5
2
3
10.5
Using the bar graph we can conclude that it rained 0.5 inches more in the summer of 2010 than in 2009.
Define a bar graph?Using rectangular bars that are proportional to the values they represent; a bar graph displays all the data. The graph's bars can be displayed either vertically or horizontally. Bar graphs, commonly referred to as bar charts, are a visual depiction of groups of data. It is one method of processing data. A bar graph is a great tool for representing data that are unrelated to one another and do not need to be displayed in any particular sequence. The bars provide a visual representation for comparing amounts in several categories. Together with the title, labels, and scale range, bar graphs have two axes that are horizontal and vertical and are also known as the x and y axes.
Here in the question,
We can see that in the summer of 2009 the rain was for 1.5 inches.
In the summer of 2010, the rain was for 2 inches.
Hence, the difference between the number of inches it rained=
2 - 1.5
= 0.5 inches.
Therefore, using the bar graph we can conclude that it rained 0.5 inches more in the summer of 2010 than in 2009.
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HELP PLEASE IT WAS DUE 10!!!
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one and one fourth inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equals 22 over 7.
A- 14 and 1 over 7 in2
B -23 and 4 over 7 in2
C -47 and 1 over 7 in2
D - 84 and 6 over 7 in2
A,B,C,D which one
According to the given question the correct option is (D) which is 84 and 6/7 square inches.
what is surface area ?Surface area is indeed a measurement of how much overall space an object occupies. A three-dimensional shape's surface area is the sum of the area surrounding it. The term "surface area" refers to a three-dimensional shape's overall surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas from every face. As an alternative, you can name the dimensions of this box using the formula below: 2lh, 2lw, with 2hw make up the surface area (SA). Surface area is a unit used to describe how much space a three-dimensional form's surface takes up overall.
Given,
The formula: can be used to determine a cylinder's surface area.
surface area = 2πr^2 + 2πrh
where r is the cylinder's radius and h seems to be the cylinder's height.
In this case, the diameter of the mini muffins is 2 inches, so the radius is 1 inch. The height is 1 and 1/4 inches. When these values are added toward the formula, we obtain:
surface area = 2π(1^2) + 2π(1)(5/4) = 2π + 5π/2 = 9π/2
To find the amount of paper needed to wrap 6 mini muffins, we multiply the surface area of one mini muffin by 6:
6 × (9π/2) = 27π
Approximating π as 22/7, we get:
27π ≈ 27 × 22/7 = 84 and 6/7
Therefore, the answer is (D) 84 and 6/7 square inches.
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Shama draws a model of her garden on the coordinate grid. Each unit on the
grid represents 1 foot. Shama buys 1 plant for every 4 square feet of the garden.
How many plants does Shama buy?
y
87
7
6
5
4
3
2
1
0
1 2 3 4 5 6 7 8 9 10
X
14 plants
10 plants
7 plants
18 plants
Done->
Shama needs to buy 10 plants for her garden.
Calculating the number of plants she buysFrom the graph, we have
Area = 8 * 5 = 40
To determine how many plants Shama needs to buy, we need to use the given rule that she buys 1 plant for every 4 square feet of the garden.
Therefore, we can divide the total area of the garden by 4 to find how many plants she needs to buy:
Number of plants = Area of garden ÷ 4
Substituting the given values, we get:
Number of plants = 40 ÷ 4
Number of plants = 10
Therefore, Shama needs to buy 10 plants for her garden.
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which kind of design is an experiment in which each participant is randomly assigned to one level of the independent variable and then tested on the dependent variable once?
The design is a randomized controlled trial (RCT), where participants are randomly assigned to treatment groups and tested on the dependent variable once to control for confounding variables and ensure that differences observed between groups are due to the treatment.
The type of design you are referring to is a randomized between-subjects design, also known as a randomized controlled trial (RCT). In this type of experiment, participants are randomly assigned to one of two or more treatment groups, each receiving a different level or type of the independent variable. Then, the dependent variable is measured only once after the treatment is administered. The purpose of this design is to control for potential confounding variables and to ensure that any differences observed between groups are due to the treatment and not to other factors.
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Out of 980 pizzas, only 196 are stuffed crust, so how many will be stuffed crust out of 5000 pizzas?
Step-by-step explanation:
192080 because we multiply its 980×196 =182080
pls do not answer if you do not know the answer. I have had this problem many times and do not want to report anyone today. 45 points.
The quadratic function f(x) has roots of -2 and 6, and it passes through the point (1, 15).
What is the vertex form of the equation of f(x)?
f(x) = (x - 2)² +16
f(x) = (x + 2)² + 16
f(x) = -(x - 2)² + 16 f
(x) = -(x + 2)² + 16
Answer:
To find the vertex form of the quadratic equation, we need to first find the equation in standard form, which is:
f(x) = a(x - r)(x - s)
where r and s are the roots of the quadratic equation and a is a constant.
From the problem statement, we know that the roots of the quadratic equation are -2 and 6. Thus, we can write:
f(x) = a(x + 2)(x - 6)
To find the value of a, we can use the point (1, 15) that the function passes through. We substitute x = 1 and f(x) = 15 into the equation:
15 = a(1 + 2)(1 - 6)
15 = -15a
Thus, a = -1.
Substituting this value of a into the equation, we get:
f(x) = -(x + 2)(x - 6)
To convert this equation into vertex form, we need to complete the square. We can do this by adding and subtracting (2/2)² = 1 from the equation:
f(x) = -(x + 2)(x - 6) + 1 - 1
= -(x + 2)² + 16
Therefore, the vertex form of the equation of f(x) is f(x) = -(x + 2)² + 16.
Step-by-step explanation:
Hi if u have more questions , feel free to ask me on my pa d let or sn ap or disco r d
The diameter of the circle above is 6cm what is the circumference of the circle?
Answer:
C ≈ 18.84 cm
Step-by-step explanation:
circumference = π · diameter
We can plug the given diameter into this formula, approximating π as 3.14.
C = 3.14 · 6 cm
C ≈ 18.84 cm
We know that,
[tex] \bf \leadsto Radius = Diameter / 2[/tex]
So,
[tex] \rightarrow \: \sf \: Radius = \frac{6}{3} \\ \\ \rightarrow \: \sf \: Radius = 3[/tex]
[tex] \rule{140pt}{5pt}[/tex]
Now,
[tex] \bf \bigstar \: Circumference \: of \: circle = 2πr[/tex]
[tex]→ \sf \: 2 × 3.14 × 3 \\ \\ → \sf \: 6 × 3.14[/tex]
[tex] \bf \: 18.84cm[/tex]
Option a is correct
[tex] \underline{ \rule{190pt}{6pt}}[/tex]
What is the mean? 103–3–41–7
Answer:
What is a mean?
A mean is the average of all the numbers in a data set.
How can I find mean?
to find mean you add up all the numbers in the data set; and divide them by the amount of numbers there are.
103+3+41+7=154
154÷4=38.5
The mean is 38.5
delia bought a bedroom set for $3600 the sales tax on the purchase was 246.60 what was the sale tax rate 
Answer: 6.85%
Step-by-step explanation:
What is the length of the missing leg? if necessary, round to the nearest tenth.
The length of the missing leg for the right triangle is 16 yd using the Pythagoras rule.
What is the Pythagoras rule?The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagoras rule we can evaluate for b as follows:
65² = 63² + b²
b = √(65² - 63²) {make b the subject}
b = √(4225 - 3969)
b = √256
b = 16
Therefore, the length of the missing leg for the right triangle is 16 yd using the Pythagoras rule.
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Can you anyone help me out with this?
I don’t know how to solve the equation and check for extraneous solutions!!!! PLEASEEEEEEEEE URGENT
The solution to the equation 1 is p = -7. and the only solution to the equation2 is k = 2.
what is equation?
An equation is a mathematical statement that asserts the equality of two expressions. It usually contains one or more variables (letters that represent unknown values) and an equal sign. The goal of solving an equation is to find the values of the variables that make the equation true.
In the given question,
Starting with -49 = -7√(p+8):
Dividing both sides by -7, we get:
7√(p+8) = 7
Dividing both sides by 7, we get:
√(p+8) = 1
Squaring both sides, we get:
p+8 = 1
Subtracting 8 from both sides, we get:
p = -7
Therefore, the solution to the equation is p = -7.
Starting with √(6-k) = k:
Squaring both sides, we get:
6-k = k²
Rearranging, we get:
k²+ k - 6 = 0
We can factor this quadratic equation as:
(k+3)(k-2) = 0
Therefore, the solutions to the equation are:
k+3 = 0 or k-2 = 0
Solving for k, we get:
k = -3 or k = 2
However, we need to check whether these solutions satisfy the original equation, since we squared both sides and introduced extraneous solutions:
When k = -3:
√(6-k) = √(6-(-3)) = √9 = 3
k = -3 is not a solution.
When k = 2:
√(6-k) = √(6-2) = √4 = 2
k = 2 is a solution.
Therefore, the only solution to the equation is k = 2.
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A large to-go order at a local coffee shop consists of 20 cups of coffee. Five of the cups of coffee have sugar, 12 of the cups of coffee have artificial sweetener, and the others are black, containing no sugar or sweetener. Suppose an experiment involves a person taking a cup of coffee from this order. The person does not put that coffee back with the others, and then takes another coffee from the order. What is the probability that the person selects 2 coffees with artificial sweetener? Express your answer as a simplified fraction.
The probability that the person selects 2 coffees with artificial sweetener is 33/95.
How to find the Probability?Let A be the event that the first cup of coffee has artificial sweetener, and B be the event that the second cup of coffee also has artificial sweetener.
We want to find the probability of the intersection of A and B, i.e., the probability that both cups have artificial sweetener. We can use the formula for conditional probability:
According to given data:P(A and B) = P(B|A) * P(A)
where P(B|A) is the probability of B given that A has occurred, and P(A) is the probability of A.
The probability of selecting a cup of coffee with artificial sweetener on the first draw is:
P(A) = 12/20
After the first cup has been drawn, there are now 11 cups with artificial sweetener left in the order, out of a total of 19 cups (since one cup has already been drawn). Therefore, the probability of selecting another cup with artificial sweetener on the second draw, given that the first cup had artificial sweetener, is:
P(B|A) = 11/19
So the probability of selecting two cups with artificial sweetener is:
P(A and B) = P(B|A) * P(A) = (11/19) * (12/20) = 33/95
Therefore, the probability that the person selects 2 coffees with artificial sweetener is 33/95.
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Help Been Stuck on This
PEQ has a value of y of 60°.
The Sum of Angles property states that the sum of a polygon's internal angles is equal to (n - 2) times 180 degrees, where n is the number of sides.The polygon's s.
What is angle sum property?
The angle sum property in geometry asserts that the sum of a polygon's internal angles is equal to (n - 2) times 180 degrees, where n is the number of sides of the polygon.
In a triangle (n=3), for example, the total of the interior angles is (3 - 2) 180 = 1 180 = 180 degrees.
The sum of internal angles for a quadrilateral (n=4) equals (4 - 2) 180 = 2 180 = 360 degrees.
This is a fundamental geometric idea that can be used to calculate the value of an unknown interior angle in a polygon if the other interior angles are known. It can also be used to determine whether or not a given set of angles can create a valid polygon.
In PEQ, the angle sum attribute is used.
Hence, EPQ + EQP + PEQ = 180°
40° + 80° + y = 180°
120° + y = 180°
y = 180° - 120°
y = 60°
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Fill in the table for side length and area of different squares.
Answer:
Step-by-step explanation:
a.
3: Area = 3² = 9
100: Area = 100² = 10,000
25: Area = 25² = 625
s: Area = s²
b.
Yes, the relationship is proportional. The area of the square is the length of a side squared. Area = (length)²
The radius of a circle is 18 kilometers. What is the circle's area?
Answer: 1017.36 km²
Step-by-step explanation:
Area of Circle = πr² = 3.14×18×18 = 1017.36 km²
I need helppppppppp please help me I don’t understand
Answer:
m∠2 = 130°
m∠3 = 25°
m∠4 = 25°
Step-by-step explanation:
Opposite angles of rhombi are congruent. Therefore,
m∠1 = m∠2 = 130°
The measures of the interior angles of a triangle add to 180°. Using this information, along with the isosceles triangle theorem, we can solve for m∠3 (which is also congruent to m∠4):
m∠2 + 2(m∠3) = 180°
↓ substituting in m∠2
130° + 2(m∠3) = 180°
↓ subtracting 130° from both sides
2(m∠3) = 50°
↓ dividing both sides by 2
m∠3 = 25°
m∠3 = m∠4 = 25°
What is the measure of 24? Enter your answer in the box.
m 24 =
1
2/3
60%
4 61°
P
9
The measure of the angle ∠4 in the parallell lines and transversal is 59 degrees
Calculating the measure of ∠4?From the question, we have the following parameters that can be used in our computation:
The parallell lines and transversal
By the sum of angles on a straight line, we have the following equation
Angle 4 + 60 + 61 = 180
Evaluate
Angle 4 = 180 - 121
So, we have
Angle 4 = 59
Hence, the measure of the angle is 59 degrees
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