Any measurement below 435 inches qualifies as a value less than 435 inches.
To find measurements less than 435 inches, you simply need to consider any value below 435 inches. Here's a step-by-step explanation:
1. Understand the question: You are looking for measurements less than 435 inches.
2. Identify the range: The range includes all values below 435 inches.
3. Provide examples: Examples of measurements less than 435 inches can be 400 inches, 350 inches, 250 inches, 100 inches, and so on.
Remember, any measurement below 435 inches qualifies as a value less than 435 inches.
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The perimeter of a rectangle is 4x² + 8x - 12. The length is 4x. What is the width?
1) 4x² - 12
2) 2x² + 2x - 6
3) 2x² - 6
4) 4x² + 2x - 12
The width of the rectangle is: 3). 2x² - 6
How to Determine the Perimeter of a Rectangle?The perimeter of a rectangle = 2(l + w), where we have:
length of the rectangle as lwidth of the rectangle as wGiven the parameters:
Perimeter of rectangle = 4x² + 8x - 12
Length of the rectangle = 4x
Width = ?
Plug in the values into formula
4x² + 8x - 12 = 2(4x - width)
Divide both sides by 2
2x² + 4x - 6 = 4x - width
Subtract both sides by 4x
2x² + 4x - 6 - 4x = 4x - width - 4x
2x² - 6 = width
Thus, the width of the rectangle is: 3). 2x² - 6
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The length of a rectangle is three times the width. If the perimeter of the rectangle is 58 feet, find the dimensions of the rectangle.
show work
Answer:
L: 14.5
W: 7.25
Step-by-step explanation:
Write out all dimensions
l+l+w+w
combine like terms
solve the equation
Amira has a pyramid shaped plant pot. It has a square base with a side length of 30\text{ cm}30 cm30, start text, space, c, m, end text, and the height of the pot is 30\text{ cm}30 cm30, start text, space, c, m, end text. Amira wants to fill the pot to \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction of its height with soil.
What is the approximate volume of soil that Amira needs?
Round to the nearest cubic centimeter.
Answer:
1125
Step-by-step explanation:
Amira needs 1125 cm^3 of soil. The answers is right, I just took the test.
Answer:
1125
Step-by-step explanation:
4. Evaluate:
root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)
Therefore, the evaluated value of `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)` is approximately 0.3263634046.
To evaluate the expression `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)`, we will follow the order of operations (PEMDAS/BODMAS), which instructs us to simplify operations inside parentheses, exponents, multiplication, division, addition, and subtraction.
First, let's simplify the exponents inside the expression:
- (0.0023) ^ 2 = 0.0023 * 0.0023 = 0.00000529
- (0.0496) ^ 5 = 0.0496 * 0.0496 * 0.0496 * 0.0496 * 0.0496 = 0.000005577776
Now, we substitute the simplified values back into the expression:
- `root((34.64 * 0.00000529) / 0.000005577776, 3)`
Next, we perform the division:
- (34.64 * 0.00000529) / 0.000005577776 = 0.03262532014
Substituting the result back into the expression, we have:
- `root(0.03262532014, 3)`
Now, let's calculate the cube root of 0.03262532014:
- cube root of 0.03262532014 ≈ 0.3263634046
It's important to note that due to rounding during intermediate steps, the final answer may not be entirely precise. If you require a more accurate result, it is recommended to carry out the calculations using higher precision or additional decimal places.
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A student used f(x)=5. 00 (1. 012)x to show the balance in a savings account will increase over time. What does the 5. 00 represent?
The student used f(x) = 5.00 (1.012)x to represent the balance in a savings account that will increase over time. The value of 5.00 in this equation represents the initial balance in the savings account.
An equation that can be used to represent the balance in a savings account that will increase over time is given by:f(x) = abx
where a is the initial balance, b is the interest rate as a decimal (for example, if the interest rate is 4%, then b = 0.04), x is the number of years, and f(x) is the balance after x years.
The student used f(x) = 5.00 (1.012)x to represent the balance in a savings account that will increase over time. The initial balance is $5.00, the interest rate is 1.2% (or 0.012 as a decimal), and x represents the number of years.
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A video game store allows customers to rent games for $4.75 each. Customers can also buy a membership for $54 each year, and video games would then only cost $2.50 each to rent. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.
Answer:
24
Step-by-step explanation:
Cost of membership + game = 2.50x + 54
Cost of just games = 4.75x
The catch is, how do we make up the 54 dollars?
So equate the 2 costs
4.75x = 2.50x + 54 Subtract 2.50
4.75x - 2.50x = 54 Combine
2.25x = 54 Divide by 2.25
x = 54/2.25
x = 24
That means that 24 is the break even point.
38. A painting without its frame has
a width 2.5 times its height, h,
in inches. Its frame is 3 in. wide
all along its perimeter. What is
an expression for the area of the
framed painting in terms of h?
Simplify your expression, and write
it in standard form.
Answer:
1.5*w^2 + 15*w + 36
Step-by-step explanation:
We have to make the width of the portrait be 'w'
in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w
Frame width is 3 inches on all sides.
Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.
I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.
From the figure, we have to:
AB = 3 + w + 3 = w + 6
BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6
We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,
Area = (w + 6) * (1.5 * w + 6)
Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36
Area = 1.5*w^2 + 15*w + 36
That is, the expression for the framed portrait area in terms of the width 'w' is:
1.5*w^2 + 15*w + 36
10. The y-intercept uses which letter?
M
Z
B
Y
Answer:
if it were an equation it would be y = mx + b and B would be the y intercept and mx is slope.
Step-by-step explanation:
Hey there!
The y-intercept is
b
Remember Slope-Intercept form, where
m is the slope
b is the y-intercept
I hope you find my answer helpful.
Good luck!
Have a great day!
~Stars~
If Chase needs to throw a basketball so that the path of the ball follows the curve of y=-x(x-3) at what point will the ball hit the ground?
To find out at what point will the ball hit the ground if Chase needs to throw a basketball so that the path of the ball follows the curve of y = -x(x - 3), we can begin by setting y equal to zero. Then, solve for x. Let's get started:y = -x(x - 3)0 = -x(x - 3). The ball will hit the ground at the points (0,0) and (3,0).
We can solve this equation by using the zero-product property. That means setting each factor equal to zero and solving for x:-x = 0orx - 3 = 0x = 0or x = 3So, the ball will hit the ground at the points where x = 0 and x = 3. To determine the corresponding y-coordinates of these points, we can substitute each value of x into the equation for y:y = -x(x - 3)For x = 0:y = -0(0 - 3) = 0For x = 3:y = -3(3 - 3) = 0
Therefore, the ball will hit the ground at the points (0,0) and (3,0).
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By setting y in the equation y = -x(x-3) to 0 and solving for x, we find that Chase's basketball hits the ground at x = 0 and x = 3.
Explanation:In this problem, we have the equation of the basketball's trajectory as y = -x(x-3). The curve is derived from a quadratic equation, and since the basketball hits the ground when y equals to zero, we simply set y to 0 and solve for x. So we will have the following: 0 = -x(x-3). To solve this equation, we can set each factor equal to zero: -x = 0 and x - 3 = 0. Solving these equations give us x = 0 and x = 3, respectively. These are the two points where the ball hits the ground. Thus,Chase's basketball will hit the ground at the starting point of x = 0, where Chase threw the ball, and at x = 3, the point where the basketball lands.
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what is the first step in x / 3 equals 10
Answer:
add 3 to both sides
Step-by-step explanation:
just add them
Add the equations to find the solutions to the system.
4x - y = 8
6x + y = 2
A) (2, -4)
B) (-4, 1)
C) (1, -4)
D) (-2, -1)
Answer:
c
Step-by-step explanation:
Let X1,..., Xn be iid with pdf f(x\0) = 0x9-1, OSI<1, 0
the second derivative is negative, the likelihood function is concave and the value of θ_hat is a maximum.
The first step is to find the likelihood function, which is the product of the pdf of the random variables, given the observed sample:
L(X1, X2, ..., Xn; θ) = f(X1; θ) * f(X2; θ) * ... * f(Xn; θ)
= (θ^n) * exp(-θ * (X1 + X2 + ... + Xn))
Next, we take the logarithm of the likelihood function to simplify it:
log L(X1, X2, ..., Xn; θ) = n * log(θ) - θ * (X1 + X2 + ... + Xn)
To find the maximum likelihood estimator (MLE) of θ, we take the derivative of the logarithm of the likelihood function with respect to θ and set it equal to zero:
d/dθ (log L(X1, X2, ..., Xn; θ)) = n/θ - (X1 + X2 + ... + Xn) = 0
Solving for θ, we get:
θ = n / (X1 + X2 + ... + Xn)
Therefore, the MLE of θ is the reciprocal of the sample mean of X1, X2, ..., Xn:
θ_hat = 1 / (X1 + X2 + ... + Xn) * n
To check if this is a maximum, we take the second derivative of the logarithm of the likelihood function with respect to θ:
d^2/dθ^2 (log L(X1, X2, ..., Xn; θ)) = -n/θ^2 < 0
Since the second derivative is negative, the likelihood function is concave and the value of θ_hat is a maximum. Therefore, the MLE of θ is θ_hat = 1 / (X1 + X2 + ... + Xn) * n
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Is this a proportional relationship?
Answer:
No
Step-by-step explanation:
It is not being multiplyed evenly on both sides with each other
Solve the system of linear equations. Check your solution.
x+2y = 8
6x +9y = 39
(-14,-3)
(-2,-3)
(14,3)
(2,3)
Answer:
answer d... (2,3)
Step-by-step explanation:
goodluck man!
The box and whisker plot represents the number of telemarketing calls received by households last month. Which statements are
correct?
A)
The mean of the data is 49.
B)
The median of the data is 49.
The least number of calls is 35.
D)
The third quartile is represented by 42.
E)
The mean cannot be determined by the box and whisker plot.
Given:
Consider the below figure attached with this question.
To find:
The correct statements about the given box and whisker plot.
Solution:
In a box plot, the left end of the box is first quartile and the right end of the box is third quartile. The line inside the box represents the median.
Left end point represents the minimum value and the right end point represents the maximum value.
From the given box plot, it is clear that
Minimum value = 35
First quartile = 42
Median = 49
Third quartile = 54
Maximum value = 57
The median of the data is 49. The least number of calls is 35. So, options B and C are correct.
The third quartile is represented by 54. So, option D is incorrect.
The mean cannot be determined by the box and whisker plot. So, option E is correct and option A is incorrect.
Therefore, the correct options are B, C and E.
What's the temperature? The temperature in a certain location was recorded each day for two months. The mean temperature was 76.4 ∘
F with a standard deviation 7.3 ∘
F. What can you determine about these data by using Chebyshev's Inequality with K=3 ? At least % of the days had temperatures between "F and
By using Chebyshev's Inequality with K=3, we can determine that at least 88.89% of the days had temperatures between "F and "F, where "F represents the mean temperature of 76.4°F.
Chebyshev's Inequality provides a lower bound on the proportion of data that falls within a certain number of standard deviations from the mean. In this case, K=3 means that we are considering a range of three standard deviations from the mean.
The inequality states that for any dataset, the proportion of data falling within K standard deviations of the mean is at least 1 - (1/K^2). So, for K=3, we have 1 - (1/3^2) = 1 - (1/9) = 8/9 ≈ 0.8889. Therefore, at least 88.89% of the data falls within three standard deviations of the mean.
In the context of the temperature data, we can conclude that at least 88.89% of the days had temperatures between the mean temperature of 76.4°F minus three standard deviations (76.4 - 3 * 7.3) and the mean temperature plus three standard deviations (76.4 + 3 * 7.3). This range represents a relatively high proportion of the dataset, indicating that the temperature observations are fairly concentrated around the mean with limited extreme values.
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I NEED HELP ASAP!
YOULL GET BRAINLEST
Answer:
y= 1/2x+1
Step-by-step explanation:
so I am doing Eureka math and 7th grade kinda need help....rewrite the expression by using distributive property and collecting like terms. 2 4/5v - 2/3(4v+1 1/6)
Answer:
2/15v + 7/9
Step-by-step explanation:
We take our base equation, then we will make every mixed number into an improper fraction. This will give us 14/5v - 2/3(4v+ 7/6). Then we will open the parentheses. This gives us: 14/5v - 8/3v+ 14/18. We will bring both the v's to a common denominator, giving us 42/15v - 40/15v+ 14/18. Then we can subtract and simplify. 2/15v + 7/9.
Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis.
y=4−x2
The integral that gives the volume of the solid formed by revolving the region about the x-axis is V = \(\int\limits^{-2}_{-2}\)π(4−x²)² dx is (8/3)π cubic units.
To find the volume of the solid formed by revolving the region about the x-axis, we can use the disk method.
First, we need to find the limits of integration. The given function y = 4 - x² intersects the x-axis at x = -2 and x = 2. So, the limits of integration will be from -2 to 2.
Next, we need to express the given function in terms of x. Solving for x, we get x = ±√(4-y).
Now, we can set up the integral for the volume using the disk method
V = π \(\int\limits^a_b\) (f(x))² dx
where f(x) = √(4-x²), and a = -2, b = 2.
V = π \(\int\limits^{-2}_{-2}\) (√(4-x²))² dx
V = π \(\int\limits^{-2}_{-2}\) (4-x²) dx
V = π [4x - (1/3)x³] \(|^{-2}_2\)
V = π [(32/3)-(8/3)]
V = (8/3)π
Therefore, the volume of the solid formed by revolving the region about the x-axis is (8/3)π cubic units.
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catalog all the symmetries of a (nonsquare) rectangular card. get a card and look at it. turn it about. mark its parts as you need. write out your observations and conclusions. 1.1.2. do the same for a square card. 1.1.3. do the same for a brick (i.e., a rectangular solid with three unequal edges). are the symmetries the same as those of a rectangular card?
The symmetries of different objects, we need to mark the parts that we need to study and then rotate or flip the object in different directions to find out the different types of symmetries present in the object.
When answering a question on Brainly, it is important to be factually accurate, professional, and friendly while being concise and providing a step-by-step explanation. Additionally, irrelevant parts of the question should be ignored, and the question should not be repeated in the answer. The terms "symmetries," "rectangular," and "observations" should be used in the answer.
Catalog all the symmetries of a (nonsquare) rectangular card.
Let us take an example of a rectangular card. We have to study the different symmetries present in the card. We will mark the parts that we need to study in order to find out the different types of symmetries. We can find out the different types of symmetries by rotating the card or flipping it in different directions.
Do the same for a square card.
Let us take an example of a square card. We have to study the different symmetries present in the card. We will mark the parts that we need to study in order to find out the different types of symmetries. We can find out the different types of symmetries by rotating the card or flipping it in different directions.
Do the same for a brick (i.e., a rectangular solid with three unequal edges).
Let us take an example of a brick, which is a rectangular solid with three unequal edges. We have to study the different symmetries present in the brick. We will mark the parts that we need to study in order to find out the different types of symmetries. We can find out the different types of symmetries by rotating the brick or flipping it in different directions.
Are the symmetries the same as those of a rectangular card? Explain in 200 words.
No, the symmetries present in a brick are not the same as those present in a rectangular card. A rectangular card has four axes of symmetry, whereas a brick has only two axes of symmetry. The two axes of symmetry present in a brick are vertical and horizontal. On the other hand, the four axes of symmetry present in a rectangular card are horizontal, vertical, and two diagonal axes of symmetry.
In conclusion, we can say that different objects have different types of symmetries. While studying the symmetries of different objects, we need to mark the parts that we need to study and then rotate or flip the object in different directions to find out the different types of symmetries present in the object.
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two step equation
find the value of the unknown variable in each equation
2(w+3)=14
EXPAND
2w + 6 = 14
BALANCE OUT (-6 from both sides)
2w = 8
SOLVE
2w =8
÷2 ÷2
w = 4
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List three sides to a right triangle. Explain how you can use the Pythagorean theorem to know that your three sides will create a right triangle.
300 words or more.
Answer:
Step-by-step explanation: (This is to show the equation of the Pythagorean Theorem.)
Remember the Pythagorean theorem is A^2 + B^2 = C^2. To find out a part of a right triangle using the Pythagorean theorem, you would find either A, B, or C. As an example, let us say that A is equal to 10, and B is equal to 8. How we find C^2, is we add A and B, but we square both numbers.
(10^2) + (8^2) = (C^2). We square 10 by itself, and we get 100 as our A. We also square 8 by itself as well, and we get 64 as our B. C does not have any number representing the variable, so we leave it as it is. 100 + 64 = 164 for C. We have to square root 164, since we're using exponents. (Please note that all my equations won't be a complete whole number, I'm using random numbers to show.) To find B or A, we find this equation. Let us keep our own variable, but C is equal to 15. To find B, we make the equation (10^2) + (B^2) = (15^2) or (A^2) + (8^2) = (15^2). To find B, We square 10 by itself to get 100, like from the last equation, but B doesn't have any number for the variable, so we keep it the same. We square 15 to get 225. After we get our 2 numbers, we subtract {100 + (B^2) = 225} ->
{(100 - 100) + (B^2) = (225 - 100)} -> {B^2 = 125}. We square root 125 to get our answer.
To find A, A doesn't have any number to fill in for the variable, We square 8 to get 64. We square 15 to get 225. After we get our 2 numbers, we subtract {(A^2) + 64 = 225} -> {A^2 + (64 - 64) = (225 - 64)} -> {B^2 = 161}. We square root 161 to get our answer. For the 3 sides: A and B, near the right triangle are both the "legs" of the triangle, while the slant of the triangle (C), is the hypotenuse.
Two cyclists, A and B, are going on a bike ride and are meeting at a park. They left home at the same time.
Functions A and B give their distance from the park, in miles, after riding for x hours. The functions are defined by these equations:
A(x)= 36.8 - 9.2x
B(x)= 41.4 - 13.8x
Which cyclist lives closest to the park?
Who will be the first to arrive at the park?
How much earlier will that cyclist arrive?
Is there a time when both cyclists are the same distance from the orchard?
Answer:
Step-by-step explanation:
Which cyclist lives closest to the park?
I'll rewrite both equations as y = mx + b so that they are more clearly understood.
A(x)= - 9.2x + 36.8
B(x)= - 13.8x + 41.4
The negative slopes represent the fact that both boys are headed toward the park from their homes, so as time increases, their distance from the park decreases. The y-intercept represents their starting points from the park (at time = 0, they are still at home, doing homework).
Distance from home: A: 36.8 miles; B: 41.4 miles. Boy A lives closest to the park.
Who will be the first to arrive at the park?
The slopes are their speeds. Boy B cycles faster, but has to cover a greater distance. A(x) and B(x) are 0 when they reach the park, Find the time, x, for each by setting that distance to 0.
A(x)= - 9.2x + 36.8
0 = - 9.2x + 36.8
9.2x = 36.8
x = 4 hours
B(x)= - 13.8x + 41.4
0 = - 13.8x + 41.4
13.8x = 41.4
x = 3 hours
Boy B arrives first.
How much earlier will that cyclist arrive?
From above, Boy B arrives one hour before Boy A. He uses that time flirting with a classmate while waiting.
Is there a time when both cyclists are the same distance from the orchard?
This is asking is there a time, x, in which both equations are wequal to each other:
A(x)= b(x) ?
A(x)=36.8 - 9.2x
B(x)= 41.4 - 13.8x
36.8 - 9.2x = 41.4 - 13.8x
4.6x = 4.6
x = 1 hour
At one hour they are both the same distance from the park.
What’s the slope to this graph?
Answer:
6/3
Step-by-step explanation:
I think bhjukjkfiffo
Answer:
-5/3
Step-by-step explanation:
rise/run you go down 5 and over 3
Two number cubes are rolled—one red and one white. Explain why the two events below are dependent.
Then find the indicated probability. The sum is greater than 9, and the red cube shows a 5
The two events are dependent, and the indicated probability is 1÷36.
What is Probability ?
Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The two events, "the sum is greater than 9" and "the red cube shows a 5," are dependent because the outcome of one event (the red cube showing a 5) affects the probability of the other event (the sum being greater than 9).
If the red cube shows a 5, then the only way for the sum to be greater than 9 is if the white cube also shows a number greater than 4 (since the highest number on a standard number cube is 6). However, if the red cube does not show a 5, then it is impossible for the sum to be greater than 9, regardless of the outcome of the white cube.
Therefore, the outcome of the red cube affects the probability of the sum being greater than 9, making the two events dependent on each other.
To find the indicated probability, we need to consider the possible outcomes where the red cube shows a 5 and the sum is greater than 9. There is only one possible outcome in this case, which is the red cube showing a 5 and the white cube showing a 5.
The total number of possible outcomes when rolling two number cubes is 6 x 6 = 36, since each cube has 6 sides and each side is equally likely to occur.
So, the probability of the sum being greater than 9 and the red cube showing a 5 is 1 out of 36 possible outcomes, or 1÷36. This is the indicated probability in this case. Therefore, the probability of the two events occurring together is 1÷36, making them dependent on each other. So, the probability of the sum being greater than 9 and the red cube showing a 5 is 1÷36.
This is because there is only one possible outcome where both events occur (red cube shows a 5 and white cube shows a 5) out of 36 possible outcomes when rolling two number cubes. Hence, the two events are dependent and the indicated probability is 1÷36. So, the two events are dependent because the outcome of one event affects the probability of the other event occurring.
The indicated probability of the sum being greater than 9 and the red cube showing a 5 is 1÷36, as there is only one favorable outcome out of 36 possible outcomes when rolling two number cubes.
Therefore, the two events are dependent and the indicated probability is 1÷36. So, in conclusion, the two events "the sum is greater than 9" and "the red cube shows a 5" are dependent because the outcome of the red cube affects the probability of the sum being greater than 9. The indicated probability of the two events occurring together is 1÷36, as there is only one favorable outcome out of 36 possible outcomes.
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HURRY PLEASE I NEED THIS NOW
which statements explain that the table does not represent a prbability distribution
A. The probability 4/3 is greater than 1.
B. The probabilities have different denominators.
C. The results are all less than 0.
D. The sum of the probabilities is 8/3 .
The sum of the probabilities is not equal to one, the table does not represent a probability distribution, so option D is the correct answer.
The statement that explains that the table does not represent a probability distribution is D. The sum of the probabilities is 8/3.
This statement explains that the probabilities do not add up to one, which is a requirement for a probability distribution. Therefore, it is not a probability distribution. If a table is given with probabilities and it is required to identify whether it represents a probability distribution or not, we must check the probabilities whether they meet the following conditions or not.
The sum of all probabilities should be equal to 1.All probabilities should be greater than or equal to zero.If any probability is greater than 1, then it is not a probability, so the probability table does not represent a probability distribution.The given probabilities have different denominators, this condition alone is not enough to reject it as probability distribution and is also a common error while creating the probability table.
An event's probability is a numerical value that reflects how likely it is to occur. Probabilities are always between zero and one, with zero indicating that the event is impossible and one indicating that the event is certain.
The sum of the probabilities of all possible outcomes for a particular experiment is always equal to one.The probabilities in the table represent the likelihood of the event happening and must add up to 1.
For example, the probability of rolling a die and getting a 1 is 1/6 because there are six possible outcomes and only one of them is a 1.The probability distribution can be used to determine the likelihood of certain outcomes. The sum of all probabilities must be equal to one.
The probability distribution function is also used in statistics to calculate the mean, variance, and standard deviation of a random variable. A probability distribution that meets the required conditions is called a discrete probability distribution. It is a distribution where the probability of each outcome is defined for discrete values.
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The graph of f(x) is shown below of g(x) and f(x) are inverse functions, which graph represents g(x)
Answer:
It's B
Step-by-step explanation:
Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it
To win a lottery, 10 numbers must be picked in the any combination from 15 numbers that can be
repeated. what is the probability of selecting the correct series?
We are selecting 10 numbers from a pool of 15 numbers with the possibility of repetition. The probability of selecting the correct series in the lottery is 1 divided by 15 raised to the power of 10, which can be written as 1/15^10.
The total number of possible outcomes is determined by the number of choices for each number, which is 15, and the fact that repetition is allowed. For each of the 10 numbers, there are 15 possible choices. Therefore, the total number of possible outcomes is 15^10.
The favorable outcome is selecting the correct series, which consists of the exact combination of 10 numbers. There is only one favorable outcome for this scenario.
To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
= 1 / 15^10
Therefore, the probability of selecting the correct series in the lottery is 1 divided by 15 raised to the power of 10, which can be written as 1/15^10.
To learn more about probability click here, brainly.com/question/31828911
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Please explain how to solve these equations.
m+j=58
11m+10j