When selecting 2 letters from the set {A, B, C, D}, considering that the order matters, we can use the concept of permutations to calculate the number of possible arrangements.
The number of ways to arrange 2 letters from a set of 4 can be calculated using the formula for permutations:
P(n, r) = n! / (n - r)!
Where n is the total number of items (in this case, 4) and r is the number of items being selected (in this case, 2).
Using this formula, the number of ways to arrange 2 letters from A, B, C, D is:
P(4, 2) = 4! / (4 - 2)!
= 4! / 2!
= (4 x 3 x 2 x 1) / (2 x 1)
= 24 / 2
= 12
Therefore, there are 12 possible ways to arrange 2 letters selected from A, B, C, D when considering that the order matters.
~~~Harsha~~~
Answer:
Step-by-step explanation:
When selecting 2 letters from the set {A, B, C, D} and considering that the order matters, we can determine the number of possible arrangements using the concept of permutations.
The number of ways to arrange 2 letters from a set of 4 can be calculated using the formula for permutations:
P(n, r) = n! / (n - r)!
where P(n, r) represents the number of permutations of r objects chosen from a set of n objects.
In this case, we have n = 4 (the total number of letters) and r = 2 (the number of letters to be selected).
Using the formula, we can calculate:
P(4, 2) = 4! / (4 - 2)!
= 4! / 2!
= (4 × 3 × 2 × 1) / (2 × 1)
= 24 / 2
= 12
Therefore, there are 12 different ways to arrange 2 letters chosen from the set {A, B, C, D} when the order matters.
which describes the correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass
Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.
To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:
Step 1: Draw the angle ABC with a straightedge.
Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.
Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.
Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.
Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.
In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.
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12 kg of potatoes cost $60. How much 46 kg cost
Answer:
$230
Step-by-step explanation:
Answer:
$230
Step-by-step explanation:
Divide 60 by 12 and get 5.
Then multiply 5 × 46 and get $230 dollars.
consider randomly selecting a student who is among the 14,000 registered for the current semester in a college. let be the number of courses the selected student is taking, and suppose that has the following probability distribution: X 1 2 3 4 5 6 7 F(x) 0.02 0.01 0.20 0.17 0.39 0.20 0.01 find the 30th percentile of this distribution.
So,the value of the 30th percentile of the given data will be =P30=4
The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.
Using the Cumulative Distribution Function to Calculate Probabilities
F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:
To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):
First, we will determine the value of the cumulative probability P(X<=x):
x f(x) P(X<=x)
1 0.02 0.02
2 0.01 0.03
3 0.2 0.23
4 0.17 0.4
5 0.39 0.79
6 0.2 0.99
7 0.01 1
30th percentile will be the x value,
below which less than or equal to 30% of the data falls.
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HELP!!!!!!!!!!!!!!!!!!
Answer:
D 0.89275
Step-by-step explanation:
A one-way data table summarizes
A. a single input's impact on the output of interest
B. values of the input cells that will cause the single output value to equal zero
C. multiple input's impact on a single output of interest
D. values of cells when not all of the model is observable on the screen
Answer:
A
Step-by-step explanation:
hope this helps! :) Hope you have. a great day
Simplify the following expression. Write the resulting polynomial in descending order.
–2x(1–3x) + (2x + 3)(3x – 2)
Answer: 4x² + x - 2
Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²
Now let's work on the second part:
Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals
12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:
4x² + x - 2.
Ferty Tickets Ben recorded the number and total cost of tickets for an island ferry. He graphed his findings on the coordinate plane Number of Tickets 1 Which best completes the statement? Total cost in dollars) The number of tickets and the total cost 5
Explanation:
We can see that the points form a line which slope is 3, because for each unit we move to the right horizontally we move 3 units up.
Since the first point is located at (1, 3) we can see that if we had one more point 1 unit to the left (x = 0) it'd be 3 unit lower than this point (y = 0). Therefore the line goes through the origin (0, 0). This means that the relation is directly proportional, because the y-intercept is 0.
Answer:
The correct option is A. directly proportional and related by y = 3x
A single die is rolled. Find the odds in favor of rolling a number greater than 2.
The odds in favor of rolling a number greater than 2 are
(Simplify your answers.)
Answer:
2/3
Step-by-step explanation:
1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.
Answer:
There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.
Step-by-step explanation:
What is the value of z? Refer to the attached image. Show work pls :)
The latter shown in the picture below is 10 m long. As shown in the picture, the bottom of the ladder is 5 m from the base of the building. Use Pythagorean theorem and find how high up the building the window is where the ladder is reaching. round your answer to two decimal places
Answer: sqrt75 or 8.66
Step-by-step explanation:
The pythagorean theroem states the a^2+b^2=c^2 in this case 5^2+b^2=10^2 where b is the height of the building. So to solve this just simplify
5^2+b^2=10^2
25+b^2=100
b^2=75
\(\sqrt{b}^2\)=\(\sqrt{75}\)
b=8.66
A group of cyclists recorded the distance they have traveled.
Draw a line plot and answer the questions below.
Name
Gina
Rey
Faye
Mark
John
James
Albert
William
Nathan
Kate
Mary
Risa
Paul
Abi
Joan
Distance in
miles
40 1/2
50
35 3/4
60
45
55 1/4
60
45
40 1/2
50
45
40 1/2
60
40 1/2
35 3/4
Title:
1. How many cyclists were there?
2. What was the longest distance traveled?
3. How many cyclists traveled less than 50 miles?
4. What was the most common distance traveled by
the cyclists?
5. How many more cyclists traveled 45 miles than
55 1/4 miles?
6. How many cyclists traveled more than 45 miles
A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.
The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.
Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.
Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.
A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
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A certain species of bird is in danger of becoming extinct. There were 1500 of these birds in 2010 and they are decreasing at an annual rate of 6.5%. If this trend continues, how many birds will be left in 2025?
Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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What’s 137% x 680? give your answer to 1 decimal place
if we will divide 137 with 100 and then multiply it with 680 you will gett your answer
the answer is 931.6
Answer:
931.6
Step-by-step explanation:
We need to change the percent to decimal form.
137% = 1.37
Multiply this by 680.
1.37 * 680
931.6
use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
In the number 725.78, how does the value of the 7 in the tenths place compare to the value of the 7 in the hundreds place?
Answer:
C. 1/1,000
Step-by-step explanation:
yes or no ?
how many miles could he ride in 3 hr
In case whereby Jake rides his bicycle 6 miles in 3/5 of an hour. At this rate, the number of miles could he ride in 3 hours is 30 miles
How can the number of miles be calculated?The distance = bicycle 6 miles
number of hours =3/5 of an hour
then the rate = 6/ (3/5)
Then we can calculate the number of miles with the 6milesi n 3/5 hours as;
= (6 * 5/3 )
=30/3
=10
Then the rate will be 10 miles in 1 hour , hence the number of miles he will ride in 3hrs
=10 * 3 hours
= 30 miles
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how did you find the standard deviation?
Answer:
Step-by-step explanation:
It's the square root of the variance
The variance is just the second moment minus the first moment squared
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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Which of the following statement(s) is (are) true?
I. The set of all second-degree polynomials with the standard operations is a vector space. II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space. III. The set of second quadrant vectors with the standard operations is a vector space A) 1 B) II and III C) II and III D) 11
The true statement is; II. Option D
How to determine the correct statementsFrom the information given, we have that;
I. The set of all second-degree polynomials with the standard operations is a vector space
II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space
III. The set of second quadrant vectors with the standard operations is a vector space
Note that;
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what is 2x2 i need help
Answer:
4
Step-by-step explanation:
2 × 2 = 4
Answer:
4 all you have to do is count by 2 so say 2,4,6,8,10,12,14.... and so on
and then fro 2x2 you answer would be 4\
brainliest please
Step-by-step explanation:
Express 83 kilometers per hour in miles per hour.
...
mi/hr
(Round to the nearest hundredth as needed.)
Answer:
83 kilometres per hour =
51.574 miles per hour
Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.
How many ounces of fertilizer does Mr. Yu use per square meter for his lawn?
Enter your answer in the box as a fraction in simplest form.
The correct answer is 4/5
The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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Three friends drove radio controlled cars around a track. The table below shows the number of laps
completed by each person and the time it took.
Kaitlin
Keiko
Ann
Time (minutes)
9
7
5
Number of laps
54
28
25
Write the number of laps completed per minute for each person. Then determine who drove the fastest.
Number of laps completed per minute by Kaitlin:
Number of laps completed per minute by Keiko:
Number of laps completed per minute by Ann:
Select the person who drove the fastest.
Kaitlin
O keiko
Ann
The table below represents a linear function. Determine the missing values in the table using the function rule.
Answer: In order: 25, 15, 67.
Step-by-step explanation:
In picture
$150/1 sq ft x 20 sq ft
Answer:
$3000
Step-by-step explanation:
$150 / 1 sq ft * 20 sq ft
$150 / 1 sq ft = this means $150 per square feet :
Given that there area 20 Square feets, then
Cost in $ will be :
$150 * 20 sq feet
= $3000
find a) average daily balance - new purchase b) finance charge c) new balance
Answer:
Step-by-step explanation:
Describe each of the following correlation coeffi cients using the terms strong, moderate, or weak and positive or negative. a. r = 0.17 b. r = –0.62 c. r = –0.88 d. r = 0.33 e. r = 0.49 f. r = –0.25 g. r = 0.91
what value of X makes the model true?
The value of x is -1 which makes the model true
The equation from the given model will be 5x+6=1
We have to find the value of x
5x+6=1
Subtract 6 from both sides
5x=-5
Divide both sides by 5
x=-1
Hence, the value of x is -1 which makes the model true
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15x7 + 30.26 - 45.23
Answer:
The answer is 90.03
Step-by-step explanation: