you play a game 5 times. the results of the plays are probabilistically independent, and on each play, your probability of winning, p(w), is 0.4, and your probability of losing, p(l), is 0.6. what is the probability of the sequence w, w, l, l, w?
Answers
The probability of the sequence W, W, L, L, W is (0.4)³ + (0.6)².
Given data;
Five games are played. Each play has a probability of winning, P(W), of 0.4, and a probability of losing, P(L), of 0.6. The results of the plays are probabilistically independent.
To get the probability of the sequence W, W, L, L, W.
Now,
As the results are probabilistically independent,
The probability of the sequence is;
→ [(P(W)]³ + [(P(L)]²
→ (0.4)³ + (0.6)²
Hence, the probability of the sequence W, W, L, L, W is (0.4)³ + (0.6)².
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Related Questions
Can the sum of the magnitudes of two vectors ever be equal to the magnitude of the sum of the same two vectors?.
Answers
No, the sum of the magnitudes of two vectors can never be equal to the magnitude of the sum of the same two vectors.
The magnitude of the sum of two vectors is determined by the vector addition process, which takes into account both the magnitudes and the directions of the vectors. The magnitude of the sum of two vectors is generally greater than or equal to the sum of their individual magnitudes.
Mathematically, for two vectors A and B, the magnitude of the sum (|A + B|) is given by the triangle inequality:
|A + B| ≤ |A| + |B|
Equality in the triangle inequality occurs only when the vectors are collinear, meaning they have the same direction or are in opposite directions. In such cases, the vectors can be scaled such that their magnitudes add up to the magnitude of their sum. However, in general, when vectors have different directions, the sum of their magnitudes will always be greater than the magnitude of their sum.
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In triangle ABC, if c = 46, b = 47....
Answers
1) In this question, the best way to tackle it is to sketch out that triangle:
2) Let's use The Law of Sines and then perform some algebraic manipulation:
\(\begin{gathered} \frac{b}{\sin(B)}=\frac{c}{\sin(C)} \\ \frac{47}{\sin(112)}=\frac{46}{\sin (C)} \end{gathered}\)So let's cross multiply then:
\(\begin{gathered} \frac{47}{\sin(112)}=\frac{46}{\sin(C)} \\ 47\cdot\sin (C)=46\cdot\sin (112) \\ \frac{47\cdot\sin (C)}{47}=\frac{46\cdot\sin (112)}{47} \\ \sin (C)=\frac{46\cdot\sin(112)}{47} \end{gathered}\)And that's the answer.
the population of elk in a national forest was measured to be 12,000 in 2003, and was measured again to be 12,700 in 2004. if the population continues to grow linearly at this rate, what will the elk population be in 2014?
Answers
The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.
What is population?A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.
The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1
The elk population in 2014 will be 19,700We must first establish the method
2014=700 should add 10 times then we will get the 2014th year population.
so the population of 2014th will 19700
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Solve for x
....................
Answers
Answer
go to the website symbolab math solver
Step-by-step explanation:
y= 3 x for x = 1,2,3
Answers
Step-by-step explanation:
you would take the 1, 2, and 3 and multiply it by 3 so it could be
y= 3. y=6. or y=9
Answers + Explanation:
If y = 3x, you just have to plug in each value of x
x = 1:
y = 3 * 1
y = 3
x = 2:
y = 3 * 2
y = 6
x = 3:
y = 3 * 3
y = 9
In a class of students, the following data table summarizes how many students have a
cat or a dog. What is the probability that a student who does not have a dog has a cat
Answers
Answer:
3/12+9+3+5
3/29
you would divide those who didn't have dogs but had cats over the total which is 29
Complete the similarity statement for the similar figures then find the scale factor
plz help me
add explanation if you can
Answers
Under what circumstances can arithmetic expressions be used as
control
expressions?
Answers
Arithmetic expressions can be used as control expressions in programming languages when a control structure, such as an if statement or a loop, expects a condition to determine the flow of execution
Arithmetic expressions can be used as control expressions in certain programming languages or contexts where a control structure expects a conditional expression to determine the flow of execution.
Typically, control expressions are used in decision-making structures such as if statements, while loops, for loops, and switch statements.
In most programming languages, the control expression must evaluate to a boolean value (true or false) in order to determine the execution path. However, some languages allow arithmetic expressions to be used in control structures, considering a value of zero as false and any non-zero value as true.
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For a friend who's struggling
"Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar on his player. Write an expression in simplest form that represents the total number of songs on both players.
Will give brainliest!
Answers
varables:
O= omar songs\
S= total # of songs
equation:
2o+37= S
Hoped that helped:)
Alex is 12 years older than George. Carl is three times older than Alex The sum of their ages is 68
find the ratio of George's age to Carl's age to Alex's age.
Answers
Answer:
1:12:4
Step-by-step explanation:
Let's say that George's age is x. That means that Alex's age would be x+12
Since Carl is 3 times older, Carl would be 3(x+12)
We put all those in the equation and get this:
x+ x+12 + 3(x+12)=68
2x+12+3x+36=68
5x+48=68
5x=20
x=4
George is 4 years old, Alex is 16, and Carl is 48
Divide every age by 4 to find the ratio
In order of George, Carl, and Alex:
1:12:4
Answer:
1 : 12 : 4.
Step-by-step explanation:
Let's start by assigning some variables to the names! We can use a to represent Alex, g to represent George, and c to represent Carl.
Alex is 12 years older than George, which means that a = g + 12.
Carl is three times older than Alex, which means that c = 3a.
The sum of the ages is 68, meaning that a + g + c = 68.
Since c = 3a, we can say that c = 3(g + 12), and that c = 3g + 36.
That way, we can put it all together...
(g + 12) + g + (3g + 36) = 68
g + g + 3g + 12 + 36 = 68
5g + 48 = 68
5g = 20
g = 4
Now that we have George's age, we can calculate the others!
a = g + 12
a = 4 + 12
a = 16
Now that we have Alex's age, we can calculate Carl's!
c = 3a
c = 3 * 16
c = 48
To check out work, 4 + 16 + 48 = 20 + 48 = 68. 4 + 12 = 16. 16 * 3 = 48. It all matches up!
The question asks for the ratio of George's age to Carl's to Alex's, so we can just find the ratio of g : c : a.
4 : 48 : 16
To simplify, divide all three numbers by 4.
1 : 12 : 4.
You can no longer simplify, so there is your answer!
Hope this helps!
A blue whale has a heart that pumps 220 liters of blood every 10 seconds.
a. How much blood does the heart pump in 15 seconds?
Answers
330 liters of blood in the heart pump in 15 seconds as per the given ratio.
What is the ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given, A blue whale has a heart that pumps 220 liters of blood every 10 seconds.
Since a whale pumps 220 liters of blood every 10 seconds.
Whale pumps blood in 10 seconds = 220 liters
So,
Whale pumps blood in 1 seconds = 220/10 liters
Whale pumps blood in 1 second = 22 liters
Thus,
Whale pumps blood in 15 seconds = 22 * 15 liters
Whale pumps blood in 15 seconds = 330 liters
Therefore, 330 liters of blood in the heart pump in 15 seconds.
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Answer:e
Step-by-step explanation:e
the only calculated fields you can create in access are those involving addition and subtraction. True or false?
Answers
Answer:
false
Step-by-step explanation:
False.
Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.
In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.
Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.
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I NEED THE ANSWER I ONLY HAVE ONE MORE DAY TO DO THIS BEFORE SCHOOL, I NEED TO FINISH MY PACKET TONIGHT! 188 m to 42 m?
Answers
The percent change from 188 m to 42 m is given as follows:
-77.66%.
How to obtain the percent change?A percentage of an amount a relative to a total amount b is obtained applying a proportion, as it is the division of the amount a by the amount b, multiplied by 100%.
Then the percent change is calculated as the division of the change by the initial amount.
The amounts for this problem are given as follows:
Initial amount: 188 m.Final amount: 42 m.Hence the change is given by the subtraction of the final amount by the initial amount, as follows:
42 - 188 = -146.
Then the percent change is of:
-146/188 x 100% = -77.66%.
The percent change is negative as the amount decayed, that is, the initial amount is greater than the final amount.
Missing InformationThe problem asks for the percent change from 188 m to 42 m.
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Consider the following second order systems modeled by the following differen- tial equations: 1) g" (1) – 6g (1) + 6x(t) = 2 (1) + 2x(t) 2) ( ) – 6g (1) + 6x(t) = 2(1) 3) y""(t) – 3y'(t) + 6y(t) = x(t) Answer to the following questions for each system 1. What is the frequency response of the system? 2. Is this a low-pass, high-pass, or some other kind of filter ? 1 3. At what frequency will the output be attenuated by from its maximum V2 (the cutoff frequency)? 4. If the system is a band pass or a stop pass filter determine its bandwidth. 5. If the input to the overall system is the signal is ä(t) = 2 cos(21+į) – sin(41 +5) what is the frequency output response? 7T T = 1
Answers
For each given system, the frequency response, filter type, cutoff frequency, bandwidth (if applicable), and the output response to a specific input signal are analyzed.
1) The first system is a second-order system with a frequency response given by H(ω) = 2/(ω^2 - 6ω + 8), where ω represents the angular frequency. The system is a low-pass filter since it attenuates high-frequency components and passes low-frequency components. The cutoff frequency, at which the output is attenuated by 3 dB (half of its maximum value), can be found by solving ω^2 - 6ω + 8 = 1, which gives ω = 3 ± √7. Therefore, the cutoff frequency is approximately 3 + √7.
2) The second system has a similar frequency response as the first one, H(ω) = 2/(ω^2 - 6ω + 4), but without the constant input term. It is still a low-pass filter with the same cutoff frequency as the first system.
3) The third system is a second-order system with a frequency response given by H(ω) = 1/(ω^2 - 3ω + 6). This system is not explicitly classified as a low-pass or high-pass filter since its behavior depends on the input signal. The cutoff frequency can be found by solving ω^2 - 3ω + 6 = 1, which gives ω = 3 ± √2. Therefore, the cutoff frequency is approximately 3 + √2.
4) Since the given systems do not exhibit band-pass or stop-pass characteristics, the bandwidth is not applicable in this case.
5) To determine the output response to the given input signal ä(t) = 2 cos(2t+π) – sin(4t +5), the signal is multiplied by the frequency response of the respective system. The resulting output signal will be a new signal with the same frequency components as the input, but modified according to the frequency response of the system.
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no one has answered this one
Answers
Answer:
\(\displaystyle x = \frac{25\sqrt{2}}{2}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 45°
Adjacent Leg = 25
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [cosine]: \(\displaystyle cos(45^\circ) = \frac{x}{25}\)[Multiplication Property of Equality] Multiply 25 on both sides: \(\displaystyle 25cos(45^\circ) = x\)Rewrite: \(\displaystyle x = 25cos(45^\circ)\)Evaluate: \(\displaystyle x = \frac{25\sqrt{2}}{2}\)A $40 jacket has 6% sales tax. What is the final cost?
Answers
Answer:
42.40 is your answer for this equation
From this 40+2.4= $42.4 final for the jacket!
Please like if correct!
13.) The ratio of guppies to goldfish in an aquarium is 1 to 2. There are 4 guppies.
How many goldfish are there?
Answers
Answer:
8 Goldfishes
Step-by-step explanation:
This Question tests on the concept of Ratio Conversion.
RatiosRatios are proportional numbers that has a specific value assigned to their corresponding number of units.
Example: Max 3 : 4 Tyler
Max has 45 cards, 1 unit = 45 ÷ 3 = 15 cards, which means Tyler has 4 units = 15 × 4 = 60 cards.
ApplicationIn this question , we know that the ratio:
Guppies 1 : 2 Goldfish
We know that there are 4 guppies.
Which means:
1 Unit = 4
Therefore , number of Goldfish = 2 units = 2 × 4 = 8
if a cup has a diameter of 8 centimeters and a height of 12 centimeters , how much juice will the cup hold.
Answers
The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³
How do i know the amount of juice the cup can hold?To know the amount of juice the cup can hold, we shall obtain the volume of the cup.
We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:
Diameter of cup = 8 cmRadius of cup (r) = diameter / 2 = 8 / 2 = 4 cmHeight of cup (h) = 12 cmVolume of cup (V) =?Volume = πr²h
Volume = 3.14 × 4² × 12
Volume = 3.14 × 16 × 12
Volume = 602.88 cm³
Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³
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Domain: -4
BOOKMARK
Determine the domain and range for the following graph.
Answers
Answer:
Domain (interval notation) : [-4,4)
Range (interval notation): [1,4)
Domain (inequality notation): \(-4\leq x < 4\)
Range (inequality notation): \(1\leq x < 4\)
Step-by-step explanation:
Domain is the x-values of a function
Range is the y values of a function
the figure is transformed as shown in the diagram describe the transformation. NO SCAMS OR LINKS PLEASE!!!! THANKS FOR THE HELP!
Answers
Reflection than rotation
An initial amount of $2700 is invested in an account at an interest rate of 6.5% per year, compounded continuously. Assuming that no withdrawals are made, find the amount in the account after seven years.
Do not round any intermediate computations, and round your answer to the nearest cent.
Answers
The amount in the account after seven years is approximately $4,582.72.
Compounding refers to the process of earning interest not only on the principal amount of an investment but also on the interest that the investment has previously earned.
The continuous compounding formula is given by:
\(A = Pe^{(rt)}\)
where A is the amount in the account, P is the initial principal, e is the base of the natural logarithm (approximately 2.71828), r is the annual interest rate (as a decimal), and t is the time in years.
In this case, we have P = 2700, r = 0.065, and t = 7. Plugging these values into the formula, we get:
\(A = 2700e^{(0.0657)} \\A= $4,582.72\)
Therefore, the amount in the account after seven years is approximately $4,582.72.
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how many feet are in 300.0 inches? type in your numerical answer only, do not include units. do not use scientific notation.
Answers
There are 25 feet in 300.0 inches.
What is conversion?Conversion is a numerical quantity that enables you to convert one unit to another. There are various units for measurements such as length, weight, mass, and so on.
The conversion factor between inches and feet is important to understand when performing this type of calculation. As I mentioned earlier, there are 12 inches in one foot, which can be expressed as:
1 foot = 12 inches
This means that to convert a measurement in inches to feet, we need to divide the number of inches by 12.
300.0/12 = 25
Therefore, 300.0 inches is equivalent to 25 feet.
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The rental rates of a hotel room are $65 per day during the weekends and $85 per day during the weekends. A man rented a room in the hotel from Monday so Sunday. How much did he pay altogether?
Answers
Answer:
so if you meant to sunday it would be
$555
but if you meant monday and sunday it would be
$150
Step-by-step explanation:
1-
a-$65x2=$130
b-$85x5=$425
c-$130+$425=555$
2-
a-$65+$85=$150
what dose Graph x \geq -1x≥−1x, is greater than or equal to, minus, 1. mean
Answers
The meaning of the graph is that the value of x is no less than -1
How to determine the meaning of the graphFrom the question, we have the following parameters that can be used in our computation:
x ≥ − 1
The above expression is an inequality that implies that
The value of x is no less than -1
Next, we plot the graph
See attachment for the graph of the inequality
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Question
What does the graph of x ≥ −1 mean?
On a quiz show, the contestant who gets the answer correct in the shortest amount of time wins. The host asks for the solution to 49+83+51. Contestant number one quickly found the sum of 49 and 51 to be 100, then added 83 to get 183. Which property did the contestant use?
Answers
Answer:
The contestant used commutive property!
Step-by-step explanation:
The commutative property of addition simply means that it does not matter in which order we add numbers together. Subtraction is not commutative. This means that the order of the numbers in the subtraction matters.
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The first laptop ever was sold was the Osborne 1. It came onto the market in 1981, and it had a mass of 11 kg. Suppose that since 1981 the mass of laptops has decreased at an average rate of 4.7% per year. What was the approximate weight of a laptop in 2019?
a. 6.43 kg
b. 8.10 kg
c. 4.62 kg
d. 1.76 kg
Answers
Answer: (d)- 1.76 kg
Step-by-step explanation:
Given
The first laptop mass was 11 kg
The rate of mass decreases by 4.7% per year
In 1982, it was
\(\Rightarrow 11-11\times 4.7\%=11-11\times 0.047\\\Rightarrow 11(1-0.047)\ kg\)
In 1983, it was
\(\Rightarrow 11(1-0.047)-11(1-0.047)\times 0.047=11(1-0.047)^2\)
In 2019 i.e. after 38 years, it is
\(\Rightarrow 11(1-0.047)^38=11\times 0.953^{38}=1.76\ kg\)
Can I have help on this bell ringer please?
Answers
Answer:
draw it again
Step-by-step explanation:
draw it as it is you can use a mirror to look through while you are drawing good luck
create a proportional ratio to the given ratio 7/7= ?/?
Answers
Answer:
14/14
Step-by-step explanation:
multiply 7/7 by 2/2
=14/14
The hanger diagram models the equation 2b = 4. Use the diagram to find the
value of b. Show your reasoning.
Answers
The value of b is 2.
Since the hanger diagram models the equation 2b = 4, we can see that the bar representing 2b has a length of 4 units.
To find the value of b, we need to divide both sides of the equation by 2. This gives us:
2b/2 = 4/2
b = 2
Therefore, the value of b is 2.
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Estimate first to the nearest whole number 6.07x3.29
Answers
Answer:
6x3=18
Step-by-step explanation: