Answers
Answer:
P(even number) = \(\frac{1}{4}\)
P (B) = \(\frac{1}{3}\)
P(even, B) = \(\frac{3}{7}\)
Step-by-step explanation:
Related Questions
Find the inverse Laplace transform of F(s)= 2s+10/ (s+2)2(s+3)
Answers
The inverse Laplace transform of F(s) is \(e^{-2t\) - 3t * \(e^{-2t\) + 10 * \(e^{-3t\).
To find the inverse Laplace transform of F(s) = (2s + 10) / (\((s + 2)^2\) (s + 3)), we can use partial fraction decomposition.
First, we decompose the rational function F(s) into simpler fractions:
F(s) = A / (s + 2) + B / \((s + 2)^2\) + C / (s + 3)
To find the values of A, B, and C, we can multiply both sides of the equation by the denominator (\((s + 2)^2\) (s + 3)) and simplify:
2s + 10 = A(s + 2)(s + 3) + B(s + 3) + C\((s + 2)^2\)
Expanding and collecting like terms:
2s + 10 = A\(s^2\) + (5A + B)s + (6A + 2B + C)
By comparing the coefficients of \(s^2\), s, and the constant term, we obtain a system of equations:
A = 1
5A + B = 2
6A + 2B + C = 10
From the first equation, we find A = 1. Substituting this into the second equation, we get:
5(1) + B = 2
B = -3
Finally, substituting the values of A = 1 and B = -3 into the third equation, we find:
6(1) + 2(-3) + C = 10
6 - 6 + C = 10
C = 10
Therefore, we have A = 1, B = -3, and C = 10.
Now, we can rewrite F(s) in partial fraction form:
F(s) = 1 / (s + 2) - 3 / \((s + 2)^2\) + 10 / (s + 3)
Taking the inverse Laplace transform of each term separately, we have:
\(L^{-1\) {1 / (s + 2)} = \(e^{-2t\)
\(L^{-1\) {-3 / \((s + 2)^2\)} = -3t * \(e^{-2t\)
\(L^{-1\) {10 / (s + 3)} = 10 * \(e^{-3t\)
Therefore, the inverse Laplace transform of F(s) is given by:
f(t) = \(e^{-2t\) - 3t * \(e^{-2t\) + 10 * \(e^{-3t\)
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Please help I'm stuck on this question! worth 15+ points!!
Answers
Answer:
152
Step-by-step explanation:
360-(118+54)
Answer:
90°
Step-by-step explanation:
Taking ΔVWX :
∠V = ∠X (equal angles opposing equal side lengths)Using the Angle Sum Property,∠V + ∠W + ∠X = 180°b + 2∠V = 180°b + 2(45) = 180°b + 90° = 180°b = 90°-1/y^-4 need help please
Answers
Answer:
D
Step-by-step explanation:
Comment
Only C can be eliminated. The 4 does not effect the minus one. The answer is going to be is going to have a positive y.
A is not correct. The 4 is a power and does not effect anything but the y. The 1 remains -1
B is not correct. The power on the y does not multiply by - 1. The power only effects the y.
C is probably the second best answer, but it is still incorrect. -1 remains as minus 1.
D that leaves D. The minus 1 stays as minus 1. It does not have to be written in the answer. The minus does however. The -4 brings the answer up to the denominator, (the top) as it is shown. So the answer is
-y^4
Which equation has infinite solutions?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
2x + 3 = 2 x plus 3 equals StartFraction one-half EndFraction left-parenthesis 4 x plus 2 right-parenthesis plus 2.(4x + 2) + 2
StartFraction one-third EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals 3 left-parenthesis x plus 1 right-parenthesis minus x minus 2.(6x – 3) = 3(x + 1) – x – 2
Answers
The equation that has an infinite number of solutions is \(2x + 3 = \frac{1}{2}(4x + 2) + 2\)
How to determine the equation?An equation that has an infinite number of solutions would be in the form
a = a
This means that both sides of the equation would be the same
Start by simplifying the options
3(x – 1) = x + 2(x + 1) + 1
3x - 3 = x + 3x + 2 + 1
3x - 3 = 4x + 3
Evaluate
x = 6 ----- one solution
x – 4(x + 1) = –3(x + 1) + 1
x - 4x - 4 = -3x - 3 + 1
-3x - 4 = -3x - 2
-4 = -2 ---- no solution
\(2x + 3 = \frac{1}{2}(4x + 2) + 2\)
2x + 3 = 2x + 1 + 2
2x + 3 = 2x + 3
Subtract 2x
3 = 3 ---- infinite solution
Hence, the equation that has an infinite number of solutions is \(2x + 3 = \frac{1}{2}(4x + 2) + 2\)
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Complete question
Which equation has infinite solutions?
3(x – 1) = x + 2(x + 1) + 1
x – 4(x + 1) = –3(x + 1) + 1
\(2x + 3 = \frac{1}{2}(4x + 2) + 2\)
\(\frac 13(6x - 3) = 3(x + 1) - x - 2\)
3. Use these properties to rewrite 7/4 + 1/2 + 5/3+1/3+1/4 + 1/2 in a way that makes the addition easier. Explain how your changes simplify the addition. (3 points)
Answers
The solution of the sum of the numbers will be 5.
How to do summation?To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:
7/4 = (7/4) x (3/3) = 21/12
1/2 = (1/2) x (6/6) = 6/12
5/3 = (5/3) x (4/4) = 20/12
1/3 = (1/3) x (4/4) = 4/12
1/4 = (1/4) x (3/3) = 3/12
1/2 = (1/2) x (6/6) = 6/12
Now we can add the fractions together:
21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12
Combining like terms, we get:
60/12 = 5
So the sum of the original fractions is equal to 5.
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Can anyone help please??
Answers
Answer:
good luck
Step-by-step explanation:
which of the following give chart elements a realistic, three-dimensional look?A. axisB. chart areaC. legendD. plot area
Answers
The option that gives chart elements a realistic, three-dimensional look is D. Plot Area.
The option that gives chart elements a realistic, three-dimensional look is the plot area. The plot area is the portion of the chart that displays the data points and is typically the main focus of the chart. Adding shading and depth to the plot area, can give the chart a more lifelike appearance and make the data more visually engaging. Additionally, three-dimensional charts can also be created by using specialized charting software that allows for the creation of 3D visualizations. These types of charts can be useful for highlighting patterns and trends in the data, especially when dealing with large datasets.
In a chart, the plot area is the space where the actual data points, bars, lines, or pie slices are displayed. By applying three-dimensional effects to the plot area, you can make the chart elements appear more realistic and visually appealing. This can enhance the viewer's understanding of the data being represented and make the chart more engaging.
In summary, to give chart elements a realistic, three-dimensional look, you should focus on the plot area (Option D). The axis (Option A), chart area (Option B), and legend (Option C) do not directly contribute to creating a three-dimensional appearance for the chart elements.
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The Watkins family is trying to decide which kind of in-ground pool to install. They are determining whether to put in a saltwater pool or a basic chlorine pool. The graphs below model the average annual cost of owning each type of pool after t years.
If the family plans to move to their retirement home in 10 years, which pool would be more cost effective to install? How do you know?
The chlorine pool is more cost effective because the y-value at 10 years is less on graph B than it is on graph A.
The saltwater pool is more cost effective because the y-value at 10 years is less on graph A than it is on graph B.
They would be equally cost effective because the vertical asymptotes for each graph are the same.
They would be equally cost effective because the horizontal asymptotes for each graph are the same.
Answers
Watkins family should install a chlorine pool because it is more cost effective because the y-value at 10 years is less on graph B than it is on graph A.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
If the family plans to move to their retirement home in 10 years, We need to find which pool would be more cost effective to install.
As in the given graph, the x-axis denotes the year while the y-axis denotes the cost of maintaining the pool in that year.
When we compare the two of the given graph we will find the cost of maintaining a chlorine pool is less as compared to a salt water pool at x=10, therefore, after 10 years.
Hence, the Watkins family should install a chlorine pool because it is more cost effective because the y-value at 10 years is less on graph B than it is on graph A.
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Answer:
a
Step-by-step explanation:edge
Solve the following system of equations:
x + 3y = −4
x + 5y = −6
(1, 1)
(−1, 1)
(1, −1)
(−1, −1)
Answers
Answer:
(-1,-1)
thats where they intersect
and thats the answer
Step-by-step explanation:
plz give brainlyest
Answer:
(-1,-1)
Step-by-step explanation:
For 7 days, Tom recorded the number of hours he slept each night. He rounds each time to the nearest \dfrac{1}{4} 4 1 start fraction, 1, divided by, 4, end fraction of an hour. How many more hours did Tom sleep on the night he slept the most than the night he slept the least? HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
1 1/4 hours
Step-by-step explanation:
1.Tom slept the most on the night he slept 8 2/4 hours.
2.Tom slept the least on the night he slept 7 1/4 hours
3.To determine the difference between the night he slept the most and the night he slept the least, we subtract the two values.
4.The difference between the night Tom slept the most and the night Tom slept the least is 1 1/4
So your answer is 1 1/4 hours! :)
Solve y+y/a=b for y if a does not equal -1
Answers
Answer:
go to chegg
Step-by-step explanation:
a student takes a 10-question, multiple-choice exam with five choices for each question and guesses on each question. find the probability of guessing at least 4 out of 10 correctly
Answers
The probability of guessing at least 4 out of 10 correctly is approximately 0.3770.
In this scenario, each question has five choices, so the probability of guessing a question correctly is 1/5, and the probability of guessing incorrectly is 4/5. Since the student is guessing on each question, we can model this as a binomial distribution problem.
To find the probability of guessing at least 4 out of 10 correctly, we need to calculate the probability of guessing 4, 5, 6, 7, 8, 9, or 10 questions correctly and sum up these probabilities.
Using the binomial probability formula, the probability of guessing exactly k questions correctly out of n questions is given by the formula P(X=k) = (nCk) * p^k * (1-p)^(n-k), where n is the number of questions, k is the number of correct guesses, and p is the probability of guessing a question correctly.
In this case, n = 10, k ranges from 4 to 10, and p = 1/5. We can calculate the probability for each value of k and then sum them up to find the overall probability of guessing at least 4 out of 10 correctly.
Calculating these probabilities and summing them up, we find that the probability of guessing at least 4 out of 10 correctly is approximately 0.3770, or 37.70%.
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Which of the following triangles is NOT a right triangle?
Answers
Answer:
The first one
Step-by-step explanation:
The third triangle is not a right triangle.
What is a right triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.
Given are triangles,
When we apply Pythagoras theorem in the third triangle,
9² ≠ 8²+6²
Hence, The third triangle is not a right triangle.
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:
4. Tim's family just got back from a vacation. They had been traveling for 2 days, driving 11
hours each day. How many hours altogether were they in the car?
Answers
Answer:
22 hours = hours travelling altogether
Step-by-step explanation:
11 x 2 = 22
First write subtraction with a common denominator then subtract
Answers
Answer:
8/12-3/12
Step-by-step explanation:
To find a common denominator you multiply the 2 denominators and them multiply each numerator by the opposite denominator.
so...
2x4=8 and 1x3=3
Answer:
8/12-3/12
Step-by-step explanation:
Which is the superior observational study? Why? Choose the correct answer below. A. Cross-sectional studies are always the superior observational study because they are cheap and quick to do. B. Neither study is always the superior to the other. Both have advantages and disadvantages that depend on the situation. C. Case-control studies are always the superior observational study because they are relatively inexpensive to conduct and can be done relatively quickly.
Answers
The superior observational study is B. Neither study is always superior to the other.
None of the observational studies is superior to the other.
1. Cross-sectional studies are observational studies that gather data on people over a very little period of time or at a specific point in time.
Benefits of Cross-Sectional Research
Cross-sectional research has benefits that includeused to support or refute hypothesesinexpensive to complete and taking little time.captures a particular moment in time.includes a number of variables at the moment the data snapshot was taken.The data can be used for a variety of research projects. Cross-sectional studies include the following drawbacks:cannot be used to study how people behave over time.does not assist in establishing cause and consequence.2. Case-control studies are observational studies that are retrospective, meaning that participants or the researcher must look back in time or at past data.
Advantages:
They are effective for diseases with a short latency time between exposure and disease manifestation, such as uncommon disorders.They are helpful when exposure data is expensive since they are less expensive and time-consuming.They are helpful when researching dynamic populations where follow-up is challenging.Disadvantages:
They are vulnerable to prejudice in selection.They are useless for uncommon exposures.Exposure data is susceptible to observational bias.They typically do not permit incidence calculation.To read more about the observational study, visit https://brainly.com/question/15938198
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A store sells bags of gold fish for $3.00, bags of animal crackers for $3.50, and bags of gummies for $4.00. One day, 15 bags of snacks were sold at $53 was earned for the sales. Two more bags of animal crackers were sold than goldfish. How many bags of each type of snack were sold?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Selling price of bags of gold fish(f) = $3
Selling price of bags of animal crackers (a) = $3.50
Selling price of bags of gummies(g) = $4
Sales on a particular day:
Total snack sold = 15
Total price of sales = $53
Two more bags of 'a' were sold than 'f' ; hence 'a' = 2 + f
f + a + g = 15 ;
f + 2 + f + g = 15 ; 2f + g = 15 - 2 ;
2f +g = 13 - - (1)
3f + 3.5a + 4g = 53
3f + 3.5(2 + f) + 4g = 53
3f + 7 + 3.5f + 4g = 53
6.5f + 4g = 46 - - - (2)
From (1)
g = 13 - 2f
6.5f + 4(13 - 2f) = 46
6.5f + 52 - 8f = 46
-1.5f = - 6
f = 4
g = 13 - 2(4)
g = 13 - 8
g = 5
a = 2 + f
a = 2 + 4
a = 6
What is the product? HELP PLEASE
Answers
What is the volume of a square pyramid with a base length of 4 cm and a heighi of 9 cm?
Answers
Answer:
V = 48 cm³
Step-by-step explanation:
base = 4 x 4 = 16
V = 1/3(16)(9) = 48 cm³
QUESTION 11
Which classification best represents a triangle with side lengths 48 in., 56 in., and 83 in.?
O A. acute, because 832> 48² +56²
O B. acute, because 832 < 48² +56²
OC. obtuse, because 832> 48² +56²
O D. obtuse, because 832 < 482 +56²
h
Answers
The triangle with side lengths of 48 in., 56 in., and 83 in. is obtuse, because 832> 48² +56²
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
The side lengths of the triangles are 48 in., 56 in., and 83 in
The smallest side lengths are: 48 in., 56 in
The sum of the squares of these side lengths is
48^2+ 56^2
For the triangle to be obtuse, then the following must be true
83^2> 48² +56²
Evaluate the exponents
6889> 5440
The above inequality is true.
Hence, the triangle is obtuse, because 83^2> 48² +56²
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What theorem can be used to prove these
triangles are congruent?
7
A. SAS
B. HL
C. neither
Answers
SAS
and dont forget to give me 5 stars
David swam in 312 events during the last 6 years. He swam the same number of events each year.
How many events did he swim in each year?
Answers
Answer:
52
Step-by-step explanation:
Divide 312 by 6 to find the number of events he swam per year
He swam 52 events each year.
Explanation:
You can figure this out by dividing 312 by 6, which would get you 52, the amount of events he swam each year
What is the value?
90.5=
1/81
4.5
3
Answers
Answer:181/2
Step-by-step explanation:
90.5 as a fraction is 181/2
Please help me please please I’ll give brainly
Answers
Answer:
The answers are in the picture also with steps
Step-by-step explanation:
A company in New Jersey is hiring 5 people for a position. Of the applicants, 7 are from New Jersey, 8 are from New York, and 5 are from Pennsylvania. What is the probability that of the 5 people hired, exactly 2 are from New Jersey?
Answers
The probability that of 5 people hired, exactly 2 are from New Jersey is 0.3857.
Given: A company in New Jersey is hiring 5 people for a position. Of the applicants, 7 are from New Jersey, 8 are from New York, and 5 are from Pennsylvania.
The probability formula is given by:
P(E) = n(E)/n(S),
whereP(E) = Probability of Event, n(E) = Number of favorable outcomes, n(S) = Total number of outcomes
Total number of applicants = 7+8+5=20
Number of applicants hired = 5
Since the number of applicants hired is unknown, we will use a combination to solve it.
Exactly 2 are from New Jersey, and 3 from New York and Pennsylvania.
Using the combination, we get 7C2 ways to select two candidates from New Jersey and 13C3 ways to select three candidates from New York and Pennsylvania.
Using the multiplication principle of counting, we get that the total number of favorable outcomes is:
7C2 × 13C3
= (7 × 6)/2! × (13 × 12 × 11)/3!
= 210 × 286
= 60060
Therefore, the probability of exactly 2 people being from New Jersey is:
P = (number of favorable outcomes)/(total outcomes)
P = 60060/15504P
= 0.3857 (approx)
Therefore, the probability that of the 5 people hired, exactly 2 are from New Jersey is 0.3857.
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Melissa has six sets of card matches. She drops the cards and must find their match again. Record your results below.
Answers
Answer:
there is no work?
Step-by-step explanation:
Answer:
Step-by-step explanation:
If i can answer 50 questions in 20 mins how many answers could i answer in 12 mins
Answers
Answer:
50÷20=2.5
12×2.5=30
so you can answer 30 questions in 12 minutes
i hope this helped
Step-by-step explanation:
yesterday, 28 students took a test. the arithmetic mean of those 28 scores was 72 points. two students who were absent yesterday took the test this morning, and the arithmetic mean of all 30 test scores is 73 points. if the difference of the two scores from this morning is 22 points, what is the lower score from this morning?
Answers
Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.
We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.
We also know that the mean of all 30 scores is 73. So we can write an equation:
[(28 * 72) + x + y]/30 = 73
Multiplying both sides by 30, we get:
2016 + x + y = 2190
So, x + y = 174.
We are given that the difference of the two scores is 22, so we can write another equation:
y - x = 22
Solving these two equations simultaneously, we get y = 98 and x = 76.
Therefore, the lower score from this morning is 76.
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Does this graph represent a function? Why or why not?
10-
8-
6-
2
--8-
-10-
O A. No, because it fails the vertical line test.
OB. Yes, because it passes the vertical line test.
OC. Yes, because it is a curved line.
OD. No, because it is not a straight line.
-1080
Answers
A satellite flies 133616 miles in 23.86 hours. How many miles has it flown in 20.04 hours?
Answers
The miles of distance flown by the satellite in 20.04hours is 112,224miles
What is rate?A rate is the ratio between two related quantities in different units.
For example the satellite flies in a particular distance at a particular time. The two quantities here are distance in miles and time in hours
The satellite flies 133616 miles in 28.86hours
this means that in 1hour it will fly a distance of 133616/28.86= 5600miles
Therefore for 20.04 hours it will fly 5600× 20.04
= 112,224miles
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