Answer:
January
February
March
April
May
June
July
August
September
October
November
December
---------------------------------------
spring, summer, fall, and winter
Answer:
Spring, Summer, Fall, Winter,
January, February, March, April, May, June, July, August, September, October, November, December.
a political scientist investigated the effect of political advertisements on the way that people voted in the presidential election. they want to do a hypothesis test to determine if political advertisements influenced the vote of less than 31% of all voters. the political scientist randomly surveyed 2509 voters and asked if political advertisements influenced the way the person voted. 709 said the advertisements did influence their vote. calculate the test statistic. round your final answer to two decimal places.
The probability of the influenced voters, if The political scientist randomly surveyed 2509 voters, 709 said the advertisements did influence their vote, is 0.283.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.
Given:
The political scientist randomly surveyed 2509 voters, n = 2509,
709 said the advertisements did influence their vote, S = 709,
Calculate the probability of influenced voter as shown below,
\(Probability = S / n\)
Probability = 709 / 2509
Probability = 0.283
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3/4(24x+28)-(4x-1)
I don't understand how to get the answer.
The expression evaluates to 14x + 22.
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
3/4(24x + 28) - (4x - 1)
We can start by simplifying the expression inside the parentheses:
3/4(24x + 28) - (4x - 1)
Remove the brackets
18x + 21 - 4x + 1
Evaluate the like terms
14x + 22
So, the value of the expression evaluates to 14x + 22.
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What is 6/3 divided by 2/4
Answer:6/3÷2/4=4
Step-by-step explanation: i hope its the rght
answer
The value of expression after divide is,
⇒ 4
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 6/3 divided by 2/4
Now, We can divide the numbers as;
⇒ 6/3 divided by 2/4
⇒ 6/3 ÷ 2/4
⇒ 2 ÷ 1/2
⇒ 2 × 2
⇒ 4
Hence, The value of expression after divide is,
⇒ 4
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in pentagon , units, is a right angle and .the length of segment can be expressed in simplest radical form as units. what is the value of ?
We cannot calculate the value of the angle in the pentagon with the given information
The given information is not sufficient to determine the value of the angle in the pentagon.
A pentagon has five sides and five angles, but the given information only provides the measure of one angle and the length of one side. To determine the measure of the remaining angles, we would need additional information about the pentagon, such as the length of another side or the measure of another angle.
Therefore, we cannot calculate the value of the angle in the pentagon with the given information.
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Show that there is no solution for the radical equation 4w+4=-4.
Answer:
there is a solution
w= -2
Step-by-step explanation:
4w+4=-4
-4 -4
4w=-8
/4 /4
w=-2
During a regular respiratory cycle, the volume of air in liters in the human lungs can be described by the function V(t) = 0.173t +0.15t^2 - 0.035t^3 where t is the time in seconds. Estimate the time in seconds from the beginning of this respiratory cycle for the lungs to fill to their maximum volume of air. a. about 3.4 seconds b. about 4.4 seconds c. about 5.4 seconds d. about 10.4 seconds
Answer:
A. about 3.4 secondsStep-by-step explanation:
Given the volume of air in liters in the human lungs described by the function V(t) = 0.173t +0.15t^2 - 0.035t^3 where t is the time in seconds,
The beginning of this respiratory cycle for the lungs to fill to their maximum volume of air occurs when dV/dt = 0
dV/dt = 0.173 + 0.3t - 3(0.035)t²
dV/dt = 0.173 + 0.3t - 0.105t²
Since dV/dt = 0
0.173 + 0.3t - 0.105t² = 0
multiply through by -1
-0.173 - 0.3t + 0.105t² = 0
0.105t² -0.3t-0.173 = 0
Factorize;
t = 0.3±√0.3²+4(0.105(0.173))/2(0.105)
t = 0.3±√0.09+0.07266/0.21
t = 0.3±√0.16266/0.21
t = 0.30±0.4033/0.21
t = 0.7033/0.21
t = 3.349secs
t ≈ 3.4secs
Hence it will take about 3.4secs for the lungs to fill to their maximum volume of air
when using the method of elimination to solve the system of equations below, what is the result of adding the two equations together?
You need to manipulate the equations to get the same coefficient for one of the variables and then add or subtract the equations to eliminate that variable.
When using the method of elimination to solve the system of equations, the goal is to eliminate one of the variables by adding or subtracting the equations. To do this, you want to choose a coefficient for one of the variables that is the same in both equations, but with opposite signs.
For example, if the system of equations is:
2x + 3y = 7
4x - 5y = -13
You could multiply the first equation by -2 to get:
-4x - 6y = -14
Then, when you add this equation to the second equation, the x variable is eliminated:
-4x - 6y + 4x - 5y = -14 - 13
Simplifying this equation gives you:
-11y = -27
To find the value of y, you would divide both sides by -11:
y = 27/11
To find the value of x, you would substitute this value of y into one of the original equations and solve for x.
As for the specific question of what is the result of adding the two equations together, it depends on the coefficients of the variables in the equations. You need to manipulate the equations to get the same coefficient for one of the variables and then add or subtract the equations to eliminate that variable.
It looks like you didn't provide the system of equations you need help with. Please provide the two equations, and I'll gladly help you with the method of elimination and the result of adding them together.
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At a soccer game Jimmy’s mom brought the team 25 apples and 50 oranges. How many apples are there to oranges if this were simplified? EXPLAIN!! WHOEVER GIVES GETS BRAINLEST!!
Answer:
Apples
Step-by-step explanation:
determine which of the following (if any) regarding multicollinearity are true. i. we can calculate the amount of collinearity by using the vif. ii. if some predictor variables in the model are highly correlated with each other, this will generally have no impact on the model. iii. when an f test is significant, but none of the t tests are significant, we can rule out multicollinearity as the cause.
The first statement is true, while the second and third statements are false. Multicollinearity can impact the model and can lead to misleading results, even if some predictor variables are highly correlated with each other. Additionally, the significance of F-test alone cannot rule out the possibility of multicollinearity.
i. The first statement is true. The Variance Inflation Factor (VIF) can be used to measure the amount of collinearity in the model. VIF is a measure of the amount of correlation between a predictor variable and the other predictor variables in the model. Higher VIF values indicate higher levels of collinearity. Typically, a VIF value greater than 10 indicates a problematic level of collinearity.
ii. The second statement is false. If some predictor variables in the model are highly correlated with each other, it can lead to multicollinearity, which can impact the model's results. Multicollinearity can make it difficult to interpret the individual effect of each predictor variable on the outcome variable, and it can also increase the standard errors of the regression coefficients. This can result in reduced statistical power, decreased predictive accuracy, and misleading results.
iii. The third statement is also false. A significant F-test indicates that at least one of the predictor variables in the model is related to the outcome variable, but it does not rule out the possibility of multicollinearity. If none of the t-tests are significant, it could be due to a lack of statistical power or the presence of multicollinearity, which can make it difficult to detect the individual effects of each predictor variable.
To test for multicollinearity, one can examine the VIF values or use other diagnostic tests, such as the condition number or tolerance values. If multicollinearity is detected, one can consider removing one of the highly correlated predictor variables or using techniques like regularization to address it.
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Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
What is an equation of the line that passes through the points (8, -5)(8,−5) and (8, -2)(8,−2)?
Answer:
This is undefined because the slope is 3/0, and you can't divide by 0
cements
Find the midpoint of the line segment (-3,4) and (2,-3)
Answer:
(-0.5 , 0.5)
Step-by-step explanation:
Midpoint = \((\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\)
\(= (\frac{-3+2}{2},\frac{4-3}{2})\\\\=(\frac{-1}{2},\frac{1}{2})\\\\=(-0.5, 0.5)\)
what is 271,403 rounded to the nearest hundred thousand .
271,403.00000
Step-by-step explanation:
Answer:
300,000
Step-by-step explanation:
If you look at it the number seven before two by 3 so every thing below it not going to matter
let me give you another example like 54,555 rounded to the nearest ten thousand for this one you would take the number in the ten thousand palce(5) and look at the number before it and get 50,000
Kelsey has a new baby brother! He weighs 8 lbs 3 oz. The doctor said the baby should gain about 5 ounces per week. At that rate, how much should the baby weigh-in 3 months (12 weeks)?
A cylinder is sliced such that the cross section is perpendicular to its bases.What is the shape of the cross section?circlerectangletrapezoidtriangle
The cross section of a cylinder is a circle. This is because a cylinder is formed by two circular bases connected by a curved surface. When the cylinder is sliced perpendicularly to its bases, the cross section will be a circle.
To prove this mathematically, let us consider a cylinder with radius r and height h. The volume of the cylinder is V = πr²h. If the cylinder is sliced perpendicularly to its bases, its cross section can be considered as a circle with radius r. The area of the circle is A = πr². Since the volume of the cylinder is equal to the area of the cross section multiplied by the height, we can say that V = A * h. This implies that A = V/h. Since we already know that V = πr²h, we can substitute the value of V in the above equation to get A = πr²h/h. Cancelling both h from the equation, we get A = πr². This means that the area of the cross section of the cylinder is equal to the area of a circle with radius r. Therefore, the shape of the cross section of the cylinder is a circle. Hence, the shape of the cross section of a cylinder is a circle.
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sketch the area represented by g(x). g(x) = x t2 dt 1
The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).
It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):
1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).
To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.
2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.
In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.
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select the correct volume. sarah has a solid wooden cube with a length of centimeter. from each of its 8 corners, she cuts out a smaller cube with a length of centimeter. what is the volume of the block after cutting out the smaller cubes?
The volume of the block after cutting the smaller cubes is:
volume = 56/125 \(cm^{3}\)
What is volume?
Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies.
The formula to calculate the volume of the cube is given by:
Volume = \(a^{3}\), where a is the length of its sides or edges
Length of solid wooden cube= \(\frac{4}{5} cm\)
Length of smaller wooden cube= \(\frac{1}{3} cm\)
Volume of the large cube = \((\frac{4}{3} )^{3}\)
Volume of the large cube = \(\frac{64}{125} cm^{3}\)
Volume of the small cube = \(\frac{1}{5} cm^{3}\)
Volume of the small cube = \(\frac{1}{125} cm^{3}\)
Volume of block after cutting out the smaller cubes is
= \(\frac{64}{125} -\frac{(8)(1)}{125}\)
= \(\frac{64-8}{125}\)
=\(\frac{56}{125}\)\(cm^{3}\)
Hence, the volume of the block after cutting the smaller cubes is:
volume = 56/125 \(cm^{3}\)
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Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
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Connie flips a coin and rolls a standard number cube. Find the probability that the coin will show tails and the cube will show a three, four, or six.
The probability that the coin will show tails and the cube will show a three, four, or six is 1/4.
The probability of two independent events occurring, we multiply their individual probabilities.
Let's start by determining the probability of the coin showing tails.
Since it is a fair coin, there are two equally likely outcomes: heads or tails.
The probability of the coin showing tails is 1/2.
Next, we consider the number cube.
It is a standard six-sided die, and we want to find the probability of rolling a three, four, or six.
Out of the six possible outcomes (numbers 1 to 6), three of them satisfy our condition (3, 4, and 6).
The probability of rolling a three, four, or six is 3/6 or 1/2.
Now, we can find the probability of both events occurring by multiplying the probabilities together:
P(Tails and 3, 4, or 6) = P(Tails) × P(3, 4, or 6)
= 1/2 × 1/2
= 1/4
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Mr.Chan wants to sell some or all of his shares of a stock in a company. He purchased 90 shares for $.59 each last month, and the shares are now worth $3.80 each. Write an inequality which describes how much profit, P , Mr.Chan can make by selling his shares?
Answer:
Mr Chan spent
90\cdot 0.5 = 4590⋅0.5=45
dollars when he bought the shares. If he sells 45 shares at 3.80, he will gain
45\cdot 3.8 = 17145⋅3.8=171
dollars. So, the net profit would be
171-45 = 126171−45=126
Expand & simplify
5
(
p
+
6
)
−
5
(
p
−
2
)
Answer: 0p + 40
Step-by-step explanation:
5p + 30 - 5p + 10
0p + 40
You have 8/12
of a blueberry pie left over from dinner. If you sent 1/5 of the leftover
blueberry pie home with your guests, how much of the blueberry pie do you have left in the dish?
Answer:
8/12-1/5=7/15 reduce 8/12 to 2/3
Find the volume of the triangular prism to the right.
6 height
11 base
The volume of the triangular prism is 198 cubic units.
To find the volume of a triangular prism, we need to multiply the area of the base triangle by the height of the prism.
In this case, the base of the triangular prism is a triangle with a base of 11 units and a height of 6 units, so the area of the base is:
Area of base = (1/2) × base × height
Area of base = (1/2) × 11 units × 6 units
Area of base = 33 square units
The height of the prism is given as 6 units.
Therefore, the volume of the triangular prism is:
Volume of prism = Area of base × Height
Volume of prism = 33 square units × 6 units
Volume of prism = 198 cubic units
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An athlete consumed 4,000 calories yesterday. Today, she consumed 3,800 calories. What is the percent change in number of calories consumed. Was this a percent increase or decrease? Round to the nearest percent.
If you place a 34 foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building how tall is the building?
If 3.249lbs. of ore contain 0.357lbs. of copper, what percent of copper does the ore contain? 26. Out of a lot of 540 castings, 15% were found defective and were scrapped. How many were scrapped? 27. A ton of Monel metal contains 69% nickel and 28% copper. The remaining amount is composed of small quantities of other metals. What is the weight of nickel and what is the weight of copper in the Monel metal? 28. The indicated horsepower of an engine is 15 , while the actual effective horsepower is 12.75. What percent of the indicated horsepower is the actual? 29. A 2% discount may be taken on the following bills, if paid within 30 days: What are the amounts of the discounted bills? (a) $390.00 (b) $1,024.80 30. A bill is rendered for $144.00 subject to discounts of 40%, and, 2% if paid within 15 days. What amount is due?
The ore contains approximately 11.0% copper. Out of the 540 castings, approximately 81 castings were scrapped. In a ton of Monel metal, there are approximately 1380 lbs of nickel and 560 lbs of copper. The discounted amounts for the bills are: (a) $382.20, (b) $1,004.30. The amount due on the $144.00 bill, subject to discounts of 40% and 2% if paid within 15 days, is $86.40.
26.To calculate the percentage of copper in the ore, we divide the weight of copper (0.357 lbs) by the weight of the ore (3.249 lbs) and multiply by 100. The ore contains approximately 11.0% copper.
27. Out of the 540 castings, 15% were found defective and scrapped. To find the number of scrapped castings, we multiply 540 by 15% to get approximately 81 castings that were scrapped.
28. In a ton of Monel metal, 69% of the weight is nickel and 28% is copper. Assuming a ton is 2000 lbs, we calculate the weight of nickel as 69% of 2000 lbs, which is approximately 1380 lbs. The weight of copper is 28% of 2000 lbs, approximately 560 lbs.
29. The given bills of $390.00 and $1,024.80 are subject to a 2% discount if paid within 30 days. To find the discounted amounts, we subtract 2% of each bill from the original amounts. The discounted amount for (a) $390.00 is approximately $382.20, and for (b) $1,024.80 is approximately $1,004.30.
30. A bill for $144.00 is subject to discounts of 40% and 2% if paid within 15 days. First, we apply the 40% discount to get $86.40. Then, we apply the additional 2% discount to the discounted amount, which remains $86.40. Therefore, the amount due on the bill is $86.40.
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use spherical coordinates.evaluate ∫∫∫B(x2+y2+z2)2 dv, where b is the ball with center the origin and radius 3.
The value of the given triple integral is 486π/5.
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To evaluate the triple integral ∫∫∫B(x²+y²+z²)² dv using spherical coordinates,
we need to express the integrand and the volume element in terms of spherical coordinates and determine the limits of integration.
In spherical coordinates, the integrand is given by:
f(ρ, θ, φ) = (ρ²)² = ρ⁴
The volume element in spherical coordinates is:
dV = ρ² sin(φ) dρ dθ dφ
The limits of integration for the triple integral are:
0 ≤ ρ ≤ 3 (since B is the ball with center the origin and radius 3)
0 ≤ θ ≤ 2π (since θ ranges over the full circle)
0 ≤ φ ≤ π (since φ ranges over the upper hemisphere)
Therefore, we have:
∫∫∫B(x²+y²+z²)² dv
= ∫₀³ ∫₀²π ∫₀ᴨρ⁴ sin(φ) dφ dθ dρ (substituting in the expression for f(ρ, θ, φ) and dV)
= ∫₀³ ∫₀²π [-ρ⁴ cos(φ)] from φ=0 to φ=π dθ dρ (evaluating the integral with respect to φ)
= ∫₀³ ∫₀²π 2ρ⁴ dθ dρ (since cos(0) - cos(π) = 2)
= ∫₀³ 2πρ⁴ dρ (integrating with respect to θ)
= (2π/5) [ρ⁵] from ρ=0 to ρ=3 (integrating with respect to ρ)
= (2π/5) [3⁵ - 0⁵]
= (2π/5) (243)
= 486π/5
Therefore, the value of the given triple integral is 486π/5.
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Which maps AABC to a triangle that is similar, but not congruent, to AABC?
A. reflection across the x-axis
B.
rotation 270° counterclockwise about the origin
C. translation right 2 units and up 3 units
D. dilation with scale factor 2 about the origin
The value of correct option for maps ΔABC to a triangle that is similar, but not congruent, to ΔABC are,
⇒ dilation with scale factor 2 about the origin
We have to given that;
To find correct option for maps ΔABC to a triangle that is similar, but not congruent, to ΔABC
Since, We know that;
For any translation the condition of congruency is not change.
But for any type of dilation condition of congruency for triangles are change.
Thus, The value of correct option for maps ΔABC to a triangle that is similar, but not congruent, to ΔABC are,
⇒ dilation with scale factor 2 about the origin
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Choose the statements that describe characteristics of a probability distribution? Select all that apply.a. Half of the possible outcomes have associated probabilities grater than 0.5.b. The probability of an outcome is between 0 and 1.c. The sum of the probabilities of all possible outcomes is 1.d. The distribution is symmetrical.e. The outcomes are mutually exclusive.
The probability of an outcome is between 0 and 1; the sum of the probabilities of all possible outcomes is 1; the outcomes are mutually exclusive. So , the correct option is B.
Probability distribution is a statistical term that refers to the probability of an outcome of an experiment. It's a function that associates each possible outcome of an experiment with its likelihood of occurrence.
A probability distribution is a representation of the probabilities of all potential outcomes in an event. The following are some characteristics of probability distributions: Probability is the likelihood of an event occurring. It's a value that ranges from 0 to 1.
It can't be less than 0 or greater than 1. Probability values of 0 and 1 represent impossible and certain outcomes, respectively. The sum of the probabilities of all possible outcomes must be equal to 1.
This is due to the fact that the occurrence of any of the possible outcomes is a certainty. The probability of the event happening is therefore 100 percent. The probability of an outcome is related to the number of possible outcomes in an experiment that can generate the desired result.
The greater the number of possible outcomes, the smaller the likelihood of the desired outcome. As a result, probabilities range from 0 to 1, with a probability of 0 indicating an impossible outcome and a probability of 1 indicating a certain outcome. A distribution's symmetry refers to the extent to which a distribution is symmetrical about its mean.
A symmetric distribution is one in which the left and right halves of the distribution are mirror images of each other. An asymmetric distribution, on the other hand, has dissimilar left and right sides.
Mutually exclusive outcomes are outcomes that cannot occur at the same time. The outcomes in probability distribution are mutually exclusive because only one outcome occurs at a time. So , the correct option is B.
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you buy 15 apples and a $2.75 block of cheese. the bill cost $6.20. write and solve an equation to find "a" the cost of each apple
The cost of each apple is equal to $0.23.
Linear Function
An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=8x+3. Where:
m= the slope.
b= the constant term that represents the y-intercept.
For the given example: m=8 and b=3.
The question gives:
15 apples (A)$2.75 block of cheesebill cost = $6.20You should convert the data into an equation:
15A+2.75=6.20
15A=6.20-2.75
15A=3.45
A=3.45/15
A=0.23
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