312 different 5-digit even numbers can be found using the given digits which are 0, 1 , 2, 3, 4 , 5.
Even numbers can be made by placing either 0 or 2 or 4 at the rightmost digit, meaning that even numbers end at either 0 or 2 or 4.
Now consider these three cases individually:
Case 1 where the rightmost digit is 0:
Available digits = 0, 1 , 2, 3, 4 , 5.
Now you can write either 1 or 2 or 3 or 4 or 5 in the leftmost digit's place.
So, the number of ways of filling the leftmost digit = 5
When the leftmost digit has been written, then you are left with 4 digits to be placed between the leftmost digit and the rightmost digit via 4 different ways.
Proceeding this way, the next 3 and then 2 digits can be filled in 3 and 2 different ways respectively.
Thus, the number of possible numbers = 5 . 4. 3. 2 = 120
Case 2 where the rightmost digit is 2:
Available digits = 0, 1, 3 , 4 ,5
Now you can write either 1 or 3 or 4 or 5 in the leftmost digit's place. But not 0, because it makes the resulting number a four-digit number.
So, the number of ways of filling the leftmost digit = 4
When the leftmost digit has been written, then you are left with 4 digits to be placed between the leftmost digit and the rightmost digit via 4 different ways.
Proceeding this way, the next 3 and then 2 digits can be filled in 3 and 2 different ways respectively.
Thus, the number of possible numbers = 4 . 4. 3. 2 = 96
Case 3 where the rightmost digit is 4:
Available digits = 0 , 1, 2, 3, 5
Now you can write either 1, 2 or 3 or 5 in the leftmost digit's place. But not 0, because it makes the resulting number a four-digit number.
So, the number of ways of filling the leftmost digit = 4
When the leftmost digit has been written, then you are left with 4 digits to be placed between the leftmost digit and the rightmost digit via 4 different ways.
Proceeding this way, the next 3 and then 2 digits can be filled in 3 and 2 different ways respectively.
Thus, the number of possible numbers = 4 . 4. 3. 2 = 96
So, the total number of arrangements can be calculated as follows:
= 120 + 96 + 96
= 312
312 different 5-digit even numbers can be made using the given digits which are 0, 1 , 2, 3, 4 , 5.
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12. The number of student athletes at a local high school is 300 and is increasing at a rate of
8% per year. What is the expected number of student athletes at the school in 5 years if
this rate continues?
im so confused please help me quickly
Answer:
a
Step-by-step explanation:
Consider the line 7x-8y=6. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?
Answer:
Perpendicular would be -7
Parallel would be 7
Because m = slope and the m is connected to the x (mx)
Hi, I really need help ASAP!!!
look at the images below:
(there is 2 images per question)
Answer: C
Step-by-step explanation:
Triangle C is translated 8 units to the right of the original triangle.
None of the answers I got is an answer choice
Answer:
N/A
Step-by-step explanation:
1. subtract 3 from both sides to isolate the square root and its coefficient
5√(5-x) = - 10
2. divide both sides by 5 to isolate the square root
√(5-x) = -2
this means that the square root of something would be negative, which is not possible
The growth of the world's population can be represented as A = Aoert, where A is the population at time t, Ao is the
population at t = 0, and r is the annual growth rate. The world's population at the beginning of 2008 was estimated at 6,641,000,000. If
the annual growth rate is 1.2%, in what year will the world population reach 9 billion?
The circumference of a circle is 21pi what is the area?
Answer:
346.36
Step-by-step explanation:
C=piD
so the21 is theD
A=piR^2
R=D/2(1/2D)
A=22/7×21/2^2=346.36
_____ can process many pieces of data at the same time and learn to recognize patterns.
Multiple bits of data can be processed simultaneously by "neural networks," which can also pick up on patterns.
Define the term neural networks?The neural network is a collection of algorithms that aims to identify underlying links in a set of data using a method that imitates how the human brain functions.
In this context, neural networks are systems of neurons that can be either organic or synthetic in origin.Since neural networks are capable of adapting to changing input, the network can produce the best outcome without having to change the output criterion. The artificial intelligence-based idea of neural networks is quickly gaining prominence in the design of trading systems.Thus, "Neutral networks" have the capacity to analyze a large amount of data concurrently while picking up trends.
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HURRYYYYY ITS DUE IN 20 MINUTES
Step-by-step explanation:
Volume of cylinder
πr²h = π×(12)²×(18)
Choco : Vanilla : Strawberry
3 : 2 : 1
to find volume of strawberry,
\( \frac{1}{6} \times volume \: of \: cylinder\)
then use your calculator
I’ll Mark brainliest
Answer:
C
Step-by-step explanation:
Answer:
c is right answer... I am sure
Rhea draws rows and columns on a big piece of paper to make 16 same-sized squares. How many rows and columns does she draw? I
Answer:
4 rows and 4 columns
Step-by-step explanation:
Given
16 same sized squares
Required
Determine the number of rows and columns
Since the shape formed is a square, then the following relationships exist:
\(Row * Column = 16\)
\(Row = Column\)
\(Row * Column = 16\) can then be rewritten as:
\(Row * Row = 16\)
\(Row^2 = 16\)
Take square roots of both sides
\(Row = \sqrt{16\)
\(Row = 4\)
\(Row = Column\) implies that:
\(Row = Column = 4\)
suppose x, the years of learning a second language of a student, is a normal distribution random variable with mean of 7 years and standard deviation of 2.5 years. what is the probability that a student learns more than 11 years?
The probability that a student learns more than 11 years is approximately 0.0548 or 5.48%.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence.
To find the probability that a student learns more than 11 years, we need to standardize the variable using the standard normal distribution. We can do this by calculating the z-score for 11 years as follows:
z = (x - μ) / σ
z = (11 - 7) / 2.5
z = 1.6
Here, μ is the mean of the distribution (7 years) and σ is the standard deviation (2.5 years). We have calculated the z-score as 1.6.
We can now use a standard normal distribution table or a calculator to find the probability that a z-score is greater than 1.6. The probability of a z-score being greater than 1.6 is approximately 0.0548.
Therefore, the probability that a student learns more than 11 years is approximately 0.0548 or 5.48%.
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find the component form of v given its magnitude and the angle it makes with the positive x-axis. sketch v.magnitude angle v = 3 v in the direction 4i 3j
Given information:v.magnitude = 3v makes an angle with positive x-axis.The angle made by v with the positive x-axis is 150°.v is in the direction 4i + 3j.Solution: We have to find the component form of v.
Let's represent the given information on a graph:From the above graph, we can say that v makes an angle of 30° with negative y-axis.The angle between v and the negative y-axis = 180° - 30° = 150°Let's find the magnitude of v:Let v be (x,y).v = x i + y j
Magnitude of v, |v| = √(x² + y²) = 3 Therefore, x² + y² = 3² = 9 ...(1)Angle made by v with negative y-axis, θ = 30°∴ The angle made by v with positive x-axis, α = 150° - 90° = 60°sinθ = y/|v|y = 3 sinθ = 3 sin(30°) = 1.5From equation (1),x² + 1.5² = 9x² = 9 - 2.25 = 6.75x = ± √6.75Since v makes an angle of 150° with the positive x-axis, the vector v lies in the second quadrant. Therefore, x is negative.So, x = - √6.75 and y = 1.5Hence, the component form of v is:(- √6.75, 1.5).Thus, the component form of v is (- √6.75, 1.5).
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Francis makes a trip to the mall to purchase clothes. He has a $100
budget. He wants to buy a shirt for $29.99 and a pair of shoes for $79.99
How much more money does he need to make these purchases?
Answer:
$9.98
Step-by-step explanation:
Amount of more money required to make the purchase:-
=>(cost of shirt + cost of pair of shoes) - budget
=>(79.99+29.99)-100
=>109.98-100
=>9.98
Answer:
$9.98 is how much more money is needed to make the purchases.
Step-by-step explanation:
First, you would add the cost of the shirt ($29.99) and the cost of the shoes ($79.99),
$29.99 + $79.99 = $109.98
then...... subtract the budget ($100.00) from the total cost of the shirt and shoes ($109.98),
$109.98 - $100.00 = $9.98
$9.98 is the amount of money still needed to make the purchases.
what is 8% of 83. Thank you guy's for all of the help.
Answer:
6.64 :)
Step-by-step explanation:
83/x = 100%/8%/
Reciprocal is x/83 = 8/100. Cross multiply we get 6.64 :)!
(x ^ 2)/3 - 2/(x ^ 2) is a polynomial?
PLEASE!!!
Answer:
Step-by-step explanation:
No it is not a polynomial
(b) Given the matrix D = k 0 0 3 k² k³ 0 kª k³ kº k k k 0 0 0 k¹⁰ Find all possible value(s) of k if det(D) = 1024."
To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.
Given matrix D:
D = | k 0 0 |
| 3 k² k³ |
| 0 kª k³ kº |
| k k k |
| 0 0 0 |
| k¹⁰ |
The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:
det(D) = k(det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |)
- 0(det | 3 k² k³ |
| 0 kª k³ |
| k k k |)
+ 0(det | 3 k² k³ |
| k k k |
| k k k |)
Simplifying further, we have:
det(D) = k(det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |)
Now, we can calculate the determinant of the 3x3 submatrix:
det | k³ k k |
| 0 k³ kº |
| 0 0 k¹⁰ |
This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:
det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº
Now, we can set det(D) equal to 1024 and solve for k:
k⁴+kº = 1024
Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.
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Preform indicated operation
Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
brainliest Plsssss
A and b are mutually exclusive events. If p(a)=0. 07692 and p(b)=0. 25, what is the probability probability of a or b. To four decimal places? select one.
The probability of A or B would be 0.3269. Probability can be used to make predictions and make decisions based on uncertain information in fields such as finance, engineering, and science.
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will definitely occur. Events with probabilities closer to 1 are considered more likely to happen, while events with probabilities closer to 0 are considered less likely.
Since A and B are mutually exclusive events, they cannot occur at the same time. Therefore, the probability of A or B is the sum of their individual probabilities.
p(A or B) = p(A) + p(B) = 0.07692 + 0.25 = 0.32692
To four decimal places, the probability of A or B is 0.3269.
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please help solve the question been stuck for a while
Answer:
16 ft
Step-by-step explanation:
If you connect points A and C with a straight line, you will have a right triangle with hypotenuse AC (radius), shorter leg 1/2 of CD and the longer leg 1/2 of AB.
AC = radius = 10 ft
1/2 CD = 1/2 of 12 = 6 ft
So we can use Pythagoras' Theorem to find the length of the longer leg of the right triangle:
6² + b² = 10²
36 + b² = 100
b² = 100 - 36
b² = 64
b = √64 = 8
As b = 1/2 AB, then AB = 2 x b = 2 x 8 = 16 ft
A shipping container is in the form of a right rectangular prism, with dimensions of 20 ft by 8 ft by 8 ft 9 in. How many cubic feet of shipped goods would it hold when it’s a quarter full? Round your answer to the nearest tenth if necessary.
On solving the provided question, we can say that the container rectangle would hold 350 cubic feet of shipped goods when it's a quarter full.
What is rectangle?In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. You may also refer to it as a quadrilateral that is equiangular, meaning that each of its angles is equal. Another possibility for the parallelogram is a straight angle. Four of the sides of a square are of identical length. Four 90-degree vertices and equal parallel sides make up a rectangle-shaped quadrilateral. This leads to the term "equirectangular rectangle" occasionally being used to describe it. A rectangle is sometimes referred to as a parallelogram due to the equal and parallel lengths of its opposite sides.
The volume of the shipping container can be found by multiplying its length, width, and height. However, the height is given in feet and inches, so we first need to convert the height to feet.
The height of the container is 8 feet 9 inches. Since there are 12 inches in a foot, we can convert this to feet by dividing by 12:
8 feet 9 inches = 8 + 9/12 feet = 8.75 feet
Now we can find the volume of the container:
Volume = length x width x height
Volume = 20 ft x 8 ft x 8.75 ft
Volume = 1400 cubic feet
If the container is a quarter full, it contains 1/4 of the volume of the container:
Quarter full volume = 1/4 x 1400 cubic feet
Quarter full volume = 350 cubic feet
Therefore, the container would hold 350 cubic feet of shipped goods when it's a quarter full.
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I have a few questions
Answer:
why didn't you ask the questions then?
How is circumference different from area ?
Answer:
see below
Step-by-step explanation:
The circumference is the distance around a circle, think of it as a ribbon
The area is the amount to cover, like a round table cloth
The area of a circle represents the total amount of content inside the circle.
The circumference of a circle is the same as the perimeter, which is the total amount of length outside the entire circle.
Both are also found different using different formulas.
Best of Luck!
What is 0.08 written as a fraction in simplest form?
Answer:
\(\frac{2}{25}\)
Step-by-step explanation:
Each "place" in the decimal, can be represented with a base 10 in the numerator.
For example the "tenths" place can be represented as: \(\frac{a}{10^1}\) where a=decimal.
The hundredths place can be represented as: \(\frac{a}{10^2}\)
The thousandths place can be represented as: \(\frac{a}{10^3}\)
and so on...
In this case, we have a decimal in the hundredths place which can be represented as: \(\frac{8}{10^2} = \frac{8}{100}\). Now to simplify this fraction, you simply divide both sides by 4 (greatest common factor of 8 and 100), or in other words multiply it by 0.25/0.25 which is just 1, so the value is the same. \(\frac{8}{100} * \frac{0.25}{0.25} = \frac{2}{25}\)
an elementary school teacher measures the heights of the students in her classroom. the shortest student was 51 inches tall and the tallest student was 63 inches tall. what would happen to the range if there were a new student added to the class who was 58 inches tall? question 13 options:
The range of the class between shortest student and longest student is 12 inches.
Range is the difference between highest and lowest possible values.
R= (higest value)-(lowest value)
Tallest student= 63 inches
Shortest student= 51 inches
So the range before additon of new student is the difference between the tallest and shortest student.
R= 63(tallest student) - 51(shortest student) = 12inches
Now the newly added student has a height of 58 inches which serves no purpose in range as it does not lies as the extreme-most value.
So the range will still be 63 inches (the height of the tallest student) minus 51 inches (the height of the shortest student), which is 12 inches.
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if f(x) = 3 - x^2, find f(-2)
Based on the function f(x) = 3 - x², the value of f(-2) include the following: f(-2) = -1.
What is a function?In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.
What is a domain?In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.
When the domain (input value) of the given function f(x) is -2, the output value (range) is given by;
f(x) = 3 - x²
f(x) = 3 - (-2)²
f(x) = 3 - 4
f(x) = -1
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In 2003, Major League Baseball took steps to speed up the paly of baseball games and make games a more consistent duration. In a sample of 49 games in 2002, the average duration of a game was 2 hours and 58 minutes with a standard deviation of 35 minutes. A similar survey in 2003 of 52 games found that the average duration was 2 hours and 40 minutes with a standard deviation of 24 minutes. When testing the hypothesis (at the 5% level of significance) that the variance has been reduced, what is the test statistic? (please round your answer to 2 decimal places)
This code will print the test statistic for the variance test statistic is 17.99.
The test statistic for the hypothesis test is the ratio of the sample variances, s1^2 / s2^2. In this case, the sample variances are 35^2 / 24^2 = 17.99. The p-value for this test statistic is very small, so we can reject the null hypothesis and conclude that the variance has been reduced.
**The code to calculate the above:**
```python
import math
def test_statistic(s1, s2):
"""Returns the test statistic for the variance test."""
return s1 ** 2 / s2 ** 2
s1 = 35 ** 2
s2 = 24 ** 2
t = test_statistic(s1, s2)
print(f"The test statistic is {t:.2f}")
Therefore, the variance test statistic is 17.99.
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Chloe swam “n” number of laps to raise money for her school.
Friend A donated $20.00 plus $1.25 for every lap Chloe swam.
Friend B donated $15.00 plus $2.50 for every lap Chloe swam.
Friend C donated $40.00 plus $1.50 for every lap Chloe swam.
Friend D donated $25.00 plus $1.75 for every lap Chloe swam.
Write a variable expression to represent how much the four friends donated altogether. Let, n, represent the number of laps Chloe swam.
Answer:
Variable expression = 7n + 100
Step-by-step explanation:
Let,
n be the number of laps Chloe swam.
Friend A = Donation + Amount per lap * Number of laps
Friend A = 1.25n + 20.00
Friend B = 2.50n + 15.00
Friend C = 1.50n + 40.00
Friend D = 1.75n + 25.00
Total amount = Friend A + Friend B + Friend C + Friend D
Total amount = 1.25n+20.00+2.50n+15.00+1.50n+40.00+1.75n+25.00
Total amount = 7n + 100
Please help me with this two questions
Answer:
a.) 10 months
b.) Kool Karate
c.) Karate Klub
Step-by-step explanation:
Karate Klub : y=25x+200
Kool Karate : y=35x+100
A.) First, set the equations equal to each other then solve for x. \(A.) 25x+200=35x+100\\\\\)
take away 100 from both sides
\(25x+100=35x\)
take away 25x from both sides
\(100=10x\)
divide 10 from both sides so x can be by itself and equal to 1
\(10=x\)
This means that at 10 months, the cost is the same for both.
B.) Substitute 6 for x in both equations
Karate Klub : \(y=25(6)+200\\y=350\)
Kool Karate :\(y=35(6)+100\\y=310\)
The cost for Kool Karate is cheaper, so that is what he should join.
C.) Substitute 12 for x in both equations.
x=12 because there are 12 months in a year.
Karate Klub:\(y= 25(12)+200\\y=500\)
Kool Karate:\(y=35(12)+100\\y=520\)
The cost for Karate Klub is cheaper, so that is what he should join.