First, we need to evaluate the exponent 3 of the expression inside the parentheses:
(1+3)^3 = 4^3 = 64
Next, we can simplify the expression by applying the order of operations (PEMDAS):
2(1+3)^3-5^2 = 2(64) - 25
Now, we can continue simplifying:
2(64) - 25 = 128 - 25
Finally, we can evaluate the subtraction:
128 - 25 = 103Therefore, 2(1+3)^3-5^2 = 103.
Answer:
To solve this expression, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), which tells us to perform the operations in the following order:
Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
Using PEMDAS, we can simplify the expression as follows:
2(1+3)^3 - 5^2
= 2(4)^3 - 25 // inside the parentheses, 1+3 = 4
= 2(64) - 25 // 4^3 = 4 x 4 x 4 = 64
= 128 - 25
= 103
Therefore, the solution to the expression 2(1+3)^3-5^2 is 103.
Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answer:
the answer should be y = x^3 - 2x^2 - 13x - 10
Step-by-step explanation:
x = -2 5 -1
x + 2 = 0
x - 5 = 0
x + 1 = 0
f(x) = (x + 2) (x + 1)
x(x) + 2(x) + x(1) + 2(1)
x^2 + 2x + x + 2
x^2 + 3x + 2
f(x) = (x^2 + 3x + 2) ( x - 5)
x^2(x) + 3x(x) + 2(x) + x^2(- 5) + 3x(- 5) + 2(- 5)
x^3 + 3x^2 + 2x - 5x^2 - 15x - 10
x^3 - 2x^2 - 13x - 10
f(x) = x^3 - 2x^2 - 13x - 10
Step-by-step explanation:
this is your answered give me point
the mediator suggested to the unit staff that a group agreement needed to be made so meetings could become
The suggestion to the unit staff by mediator that a group agreement needed to be made so meetings could become more productive and efficient.
By suggesting the need for a group agreement,
The mediator is proposing that the unit staff establish a set of guidelines or norms that will govern their meetings.
This agreement would outline expectations, rules, and protocols to ensure that meetings are conducted in a manner.
That promotes productivity and efficiency.
Having a group agreement for meetings can have several benefits.
Firstly, it helps establish a shared understanding among team members regarding the purpose, structure, and desired outcomes of meetings.
This clarity can reduce confusion and ensure that everyone is on the same page.
Secondly, a group agreement can address common issues that hinder productivity and efficiency in meetings.
For example, it can include guidelines for starting and ending meetings on time, staying focused on the agenda.
Encouraging active participation, respecting different viewpoints, and minimizing interruptions.
By having these agreed-upon rules, the group can prevent time wastage, tangents, or unproductive behaviors that might derail discussions.
Moreover, a group agreement fosters a sense of ownership and accountability among the unit staff.
When team members actively contribute to creating the agreement.
They are more likely to adhere to its principles and hold themselves and others accountable for meeting etiquette.
Overall, the goal of establishing a group agreement for meetings is to create an environment that encourages.
Effective communication, collaboration, and decision-making.
It helps ensure that meetings are conducted in a manner that maximizes the use of time.
Promotes active engagement, and ultimately leads to more productive and efficient outcomes.
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The given question is incomplete, I answer the question in general according to my knowledge:
The mediator suggested to the unit staff that a group agreement needed to be made so meetings could become_____.
help me please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
?
Step-by-step explanation:
with what
Answer:
120
Step-by-step explanation:
I got 120 because the width of the diamonds are 30. (180 - 150)
We can make sure that is correct by checking all the other pyramids.
anyways, we have 30 60 90 120 150 for all our pyramids. So the answer is indeed
120
a cookie recipe uses 5/6 cups of sugar lindsey is making 1 1/2 times what the recipe calls for how much sugar is she using
Answer:
1 1/4 cups of sugar
Step-by-step explanation:
5/6 x 1 1/2 = 1 1/4
Answer:
5/4 cup of sugar.
Step-by-step explanation:
The recipe calls for 5/6 of a cup of sugar, so if you're making 1.5 times what the recipe calls for, you multiply 5/6 by 3/2 (or 1.5 if you prefer decimals) which would give you 15/12. Then simplify down to get 5/4 (or 1.25) cups of sugar.
Note: 5/4 also equals 1 1/4, they are both correct, it just depends on which way you choose to write it, or how your teacher wants you to write it.
According to a study done by the Gallup organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0. 82.
a. Suppose a random sample of 100 Americans is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain.
A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.
B. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not.
C. The response is quantitative because the responses can be measured numerically and tho values added or subtracted, providing meaningful results
D. The response is qualitative because the response can be measured numerically and the value added or subtracted, providing meaningful results.
b. Explain why the sample proportion, p, is a random variable. What is the source of the variability?
c. Describe the sampling distribution of p, the proportion of Americans who are satisfied with the way things are going in their life. Be sure to verify the model requirements.
d. In the sample obtained in part (a), what is the probability the proportion who are satisfied with the way things are going in their life exceeds 0. 85?
e. Would it be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life? Why?
A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.
B. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.
C. The sampling distribution of p is approximately normal.
D. We find that the probability is 0.0912 or about 9.12%.
E. We get:z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29
a. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.
b. The sample proportion, p, is a random variable because it varies from sample to sample. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.
c. The sampling distribution of p is approximately normal if the sample size is sufficiently large and if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the population proportion. In this case, we have:
Sample size (n) = 100
Population proportion (p) = 0.82 Thus, np = 82 and n(1-p) = 18, both of which are greater than 10. Therefore, the sampling distribution of p is approximately normal.
d. To calculate the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85, we need to find the z-score and then look up the corresponding probability from the standard normal distribution table. The formula for the z-score is:
z = (p - P) / sqrt[P(1-P)/n]
where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:
z = (0.85 - 0.82) / sqrt[0.82(1-0.82)/100] = 1.33
Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0912 or about 9.12%.
e. Yes, it would be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life. To check if it is unusual or not, we need to calculate the z-score and find its corresponding probability from the standard normal distribution table. The formula for the z-score is:
z = (p - P) / sqrt[P(1-P)/n]
where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:
z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29
Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0106 or about 1.06%. Since this probability is less than 5%, it would be considered unusual to observe 75 or fewer Americans being satisfied with the way things are going in their life.
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write the number twenty-nine million sixty thousand
29,060,000
When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.
Answer:29,060,000
Step-by-step explanation:
with every three zeros your number grows bigger 100,00= One hundred thousand. 29,000,000 = thwenty-nine million
in a bag of apples and oranges the ratio of apples to oranges is 4 : 3 if the bag has 70 apples and oranges how many oranges are there
dont put that "none of them are right prolly 5.2 or whatevwr" pls one of them r right 0-0
Answer:
Step-by-step explanation:
It would equal to 40 because 17+23 would equal 40 its because the number of apples you divided it by 4 which equals 17.5 but you don't add .5 so 17 then you get 23 from 70 divided by 3 so
40 is the answer.
Answer: 30 oranges
Step-by-step explanation:
For each "repeat" of the ratio, we will find the total number of apples and oranges.
4 + 3 = 7
Next, we will find how many times this ratio repeats in the total.
70 / 7 = 10 times
Lastly, we can multiply the ratio of oranges by 10 to find out how many oranges are in the bag (this applies to apples, too):
3 * 10 = 30
Which one?
A. B. C. or D?
Answer: C
brainliest plz? ty!!
Answer:
C ez
Step-by-step explanation:
Help please! “Find the distance between the points (-4, 4) and (7, 4) (this is usually easy but the graph isn’t there and we just started the subject, so it’s hard :’))
Answer:
11 units
Step-by-step explanation:
You want the distance between the points (-4, 4) and (7, 4).
Horizontal lineThe y-values are the same for the two given points, telling you this is a horizontal line. That means the length of it is the difference of the x-coordinates:
7 -(-4) = 11
The distance between the two points is 11 units.
__
Additional comment
You are welcome to draw your own graph when one is not provided. You can also use the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((7 -(-4))² +(4 -4)²) = √(11² +0) = 11
Solve the inequality 4/3|1/4x+3|<4
Ox>-13 and x < -11
Ox<-13 and x > -11
Ox>-24 and x < 0
Ox>-24 and x > 0
The inequality 4/3|1/4x+3|<4 are Ox>-13 and x < -11 or Ox<-24 and x > 0
How do we determine the absolute values?We can begin by isolating the absolute value on one side of the inequality:
4/3|1/4x+3|<4
|1/4x+3|<3/2
We can then split this inequality into two cases, one for when 1/4x+3 is positive and one for when it is negative:
1/4x+3>0: 1/4x+3>3/2, so multiplying both sides by 4, we get x>-13 and x<-11
1/4x+3<0: 1/4x+3<-3/2, so multiplying both sides by -4, we get x<-24 and x>0
So, the solution is: Ox>-13 and x < -11 or Ox<-24 and x > 0
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Lucien can buy 1 lb of Colombian coffee beans for $4.25 you can buy one pound of French roast coffee beans for $3.75 if he buys one pound mixture of the two kinds of beans for $4 how much of each kind of coffee bean does he buy
Answer:
Colombian coffee bought = 0.5 lbs
French roast coffee beans bought = 0.5 lbs
Step-by-step explanation:
Let Colombian coffee bought = \(x\) lbs
Total weight of mixture bought = 1 lbs
Therefore, French roast coffee beans bought = (1 - \(x\)) lbs
Price of 1 lb Colombian coffee = $4.25
Price of \(x\) lbs of Colombian coffee = $\(4.25x\)
Price of 1 lb French roast coffee beans = $3.75
Price of (1 - \(x\)) lbs French roast coffee beans = $3.75(1 - \(x\))
It is given that total money spent is $4.
As per given statement:
\(4.25x+3.75(1-x)=4\\\Rightarrow 0.50x=0.25\\\Rightarrow x=\bold{0.5\ lbs}\)
Colombian coffee bought = 0.5 lbs
French roast coffee beans bought = 0.5 lbs
I need the answer to this, with the explanation
BRAINLIEST AND LOTS OF POINTS! Hobbies The height above the ground in meters of a model rocket on a particular launch can be modeled by the equation h = -4.9t2 + 102t + 100, where t is the time in seconds after its engine burns out 100 m above the ground. Will the rocket reach a height of 600 m? Use the discriminant to explain your answer. 1) State the discriminant and show your work to show how you found the discriminant. 2) Based on your discriminant, will the rocket reach 600m?
Given ,The equation for the height of the rocket is given ash = -4.9t^2 + 102t + 100where t is the time in seconds after its engine burns out 100 m above the ground.
1) The discriminant is given by; D = b^2 - 4acHere, a = -4.9, b = 102 and c = 100Substituting the values, we get; D = (102)^2 - 4(-4.9)(100)D = 10404 + 1960D = 12364So, the discriminant is 12364.2) If the discriminant is positive, then the quadratic equation will have two real roots, which means the rocket will reach a height of 600m. If the discriminant is negative, then the quadratic equation will have no real roots, which means the rocket will not reach a height of 600m.If the discriminant is zero, then the quadratic equation will have one root, which means the rocket will just barely reach a height of 600m.In this case, the discriminant is positive, which means that the rocket will reach a height of 600m. Thus, the rocket will reach a height of 600m. Therefore, the rocket will reach a height of 600 m.
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The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b). True False
The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.
In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.
To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].
Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).
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If 48X^2,64x^4 ,x 36x^2 are in proportion , find the value of x
Answer:
The value of x = 27
Step-by-step explanation:
Given:
48x² : 64x⁴ ::: x : 36x²
Find:
The value of x
Computation:
(a)(d) = (b)(c)
(48x²)(36x²) = (64x⁴)(x)
(1,728x⁴) = (64x⁵)
x = 27
The value of x = 27
Following are the solution to the given expression:
Given:
\(\to 48x^2 : 64x^4 :: x : 36x^2\)
To Find:
x=?
Solution:
\(\to 48x^2 : 64x^4 :: x : 36x^2\)
\(\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\\)
cross multiply:
\(\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27\)
Therefore, the answer is "27".
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Select the correct answer.
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
O A. The graph of h is the graph of g horizontally shifted left 1 unit.
OB.
The graph of h is the graph of g vertically shifted down 1 unit.
The graph of h is the graph of g vertically shifted up 1 unit.
The graph of h is the graph of g horizontally shifted right 1 unit.
O C.
O D.
Reset
Next
The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.
The correct answer is:
B. The graph of h is the graph of g vertically shifted up 1 unit.
Explanation:
The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).
When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.
In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).
Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).
The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.
The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.
The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.
Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.
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The diagram that is best at displaying data dispersion is a: Multiple Choice a. scatter diagram. b. stem-and-leaf display. c. skewness graph. d. box plot
The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers.
The diagram that is best at displaying data dispersion is a box plot. Here's the main answer:When there is a need to compare the distribution of data, a box plot is often the best method.
A box plot is a diagram that shows how a dataset is distributed. It shows how data is spread out and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal (not evenly distributed).
A box plot is a great way to summarize large amounts of data and it is also very easy to read and interpret. It shows a number of statistical values, including the median (the middle value of the data set), the quartiles (the values that divide the data set into four equal parts) and the range (the difference between the maximum and minimum values).
Additionally, it can identify any outliers in the data, which are values that are significantly different from the rest of the data.A box plot is created by drawing a rectangle between the first and third quartiles (the middle 50% of the data) with a line drawn inside it to show the median.
Lines are then drawn from the edges of the rectangle to the minimum and maximum values. Any outliers are marked with a point outside of the rectangle.
The box plot is a great way to compare data sets and to visualize the dispersion of the data
The best diagram to use to display data dispersion is a box plot. A box plot is a diagram that shows how a dataset is distributed and helps to identify any outliers. It is most effective for comparing data sets that have a large number of data points and when the data is not normal. A box plot is created by drawing a rectangle between the first and third quartiles with a line drawn inside it to show the median.
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maria rolls a pair of dice. what is the probability that she obtains a sum that is either a multiple of 3 or a multiple of 4?
When a pair of dice rolled, the probability that the sum is either a multiple of 3 or a multiple of 4 is 5/9.
If an event A and an event B is independent to each other, then the probability A or B is:
P(A or B) = P(A∪B) = P(A) + P(B)
In the given problem:
The possible outcomes or the sample space of rolling a pair of dice = 6 x 6 = 36.
The maximum sum is 6 + 6 = 12
Multiple 3 or multiple 4 that ≤ 12 is {3, 4, 6, 8, 9, 12}
Possible outcomes for Sum = 3 are 1 + 2 and 2 + 1
Hence,
P(3) = 2/36
Possible outcomes for Sum = 4 are 1 + 3, 3 + 1, 2 + 2
Hence,
P(4) = 3/36
For Sum = 8, 2 + 6, 6 + 2, 3 + 5, 5 + 3, 4 + 4
Hence,
P(8) = 5/36
Similarly,
P(6) = 5/36
P(9) = 4/36
P(12) = 1/36
Therefore,
P(Multiple 3 or multiple 4) = P(3, 4, 6, 8, 9, 12)
= 2/36+3/36+5/36+5/36+4/36+1/36
= 20/36
= 5/9
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What coordinates best represent the location of a point K on the coordinate plane below?
(-7, -4)
(-7, -4)
(-7, 4)
(-7, 4)
(-4, -7)
(-4, -7)
(-4, 7)
Answer:
The Correct answer is C ( -7, 4)
Step-by-step explanation:
The Correct answer is C ( -7, 4) yepppp
6) a little league manager has 12 children on her team. how many ways could she form a 9-player batting order?
To determine the number of ways the little league manager can form a 9-player batting order from a team of 12 children, we can use the concept of permutations.
Since the order of the players in the batting order matters, we need to calculate the number of permutations of selecting 9 players from a pool of 12.
The formula to calculate permutations is:
P(n, r) = n! / (n - r)!
where:
P(n, r) represents the number of permutations of selecting r items from a pool of n items.n! denotes the factorial of n.In this case, we want to find P(12, 9), which represents the number of permutations of selecting 9 players from a pool of 12.
P(12, 9) = 12! / (12 - 9)!
= 12! / 3!
Calculating the factorials:
12! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
3! = 3 * 2 * 1
Simplifying the calculation:
P(12, 9) = (12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1)
= 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4
= 199,584,000
Therefore, the little league manager can form a 9-player batting order in 199,584,000 different ways.
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Write an equivalent expression (p-4)(p+3).
Answer:
p^2 - p - 12
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
\((p - 4)(p + 3) = {p}^{2} + 3p - 4p - 12 \\ = {p}^{2} - p - 12\)
Determine if the following statement is true or false.
When two events are disjoint, they are also independent.
The statement, When two events are disjoint, they are also independent is false.
In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)
Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:
P(B/A) = P(B) P(A and B)
=> P(B ∩ A) = P(B) × P(A) --(2)
(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.
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1. A(n)
is a statement that contains the symbol
Answer:
I don't, get it
I've attached the question in the picture below.
at a map scale of 1:1500, 12 centimeters on the map is equivalent to 1.8 kilometers on the ground.
step-by-step
since the scale is 1 to 15,000 you simply multiply it by the 12 cm
12cm × 15,000 = 180,000
but you still have to convert it to kilometers (the measurement on the ground).
to go from centimeters to kilometers move the decimal 5 place values to the left.
final answer
1.8 kilometers
The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
the four walls and ceiling of a room are to be painted with five colors available. how many ways can this be done if bordering sides of the room must have different colors?
The required answer is 600 different ways to paint the room under the given conditions.
To paint the four walls and ceiling of a room with five colors available, ensuring bordering sides have different colors, follow these steps:
1. Choose a color for the first wall: You have 5 color options.
2. Choose a color for the second wall: Since it must be different from the first wall, you have 4 color options.
3. Choose a color for the third wall: It must be different from both the first and second walls, so you have 3 color options.
4. Choose a color for the fourth wall: It must be different from the first, second, and third walls, so you have 2 color options.
5. Choose a color for the ceiling: It can be any of the 5 colors, as it does not border any wall directly.
To calculate the total number of ways to paint the room, multiply the number of options for each step:
5 (first wall) * 4 (second wall) * 3 (third wall) * 2 (fourth wall) * 5 (ceiling) = 600 ways
So, there are 600 different ways to paint the room under the given conditions.
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Anneyonghaseyo,
plss can anyone solve this it's urgent (+_+)
15 points
Anneyonghaseyo!!
Radius = 10.5 m
Diameter = 10.5 × 2 = 21 m
Circumference = πd
= 22/7 × 21
= 66 m.
Cost of fencing 1 metre = ₹ 4
Cost of fencing 2 rounds = ?
2 rounds = 2 × circumference
= 2 × 66
= 132 m
Cost of fencing 2 rounds = 132 × 4
= ₹ 528.
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
please answer this ty
Answer:
25°
Step-by-step explanation:
_____________
518 231 1565
33bi8R
_____________
ヮ00m ✧
HELP QUICK PLEASE !!
Given: AABC with vertices A(5, -2), B(5, -7), and C(1, -2). Which set of
coordinates best repositions the triangle to make a coordinate proof easier?
Answer:(0,0),(0,4) and (5,0)
Step-by-step explanation:
It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.
So this answer has a y intercept and an x intercept.
The following information should be taken into consideration to answer this item: If the scores of 400 subjects in a psychological scale have been distributed normally with the mean score of 100 and standard deviation of 15: The Z score that equivalent to the raw score 92.5 is.... A.+ 0.5 B. -1.25 C.-0.5 D.-0.25
The Z score that is equivalent to the raw score 92.5 is B. -1.25.
A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:
Z = (92.5 - 100) / 15
Z = -7.5 / 15
Z = -0.5
Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.
The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.
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