Answer:
3 3/4 - 1 6/8 = 2
Step-by-step explanation:
3-1=2 and 3/4-6/8=0
a box of 15 cookies cost 9 dollars, how much will one cookie cost? khan academy
Answer:
135. You multiply to get your answer.
6) a) you roll a die, and are given an amount in dollar equal to the number on the die. what would you pay to play this game if you played it a lot of times? b) now say that when you roll the die, you're allowed to either take the money that you'd get with the roll, or roll a second time; if you roll a second time, you're obligated to take the number of dollars that you get with the second roll. now what is the worth of the game?
The worth of the game remains at 3.5 dollars. The second roll is the only one that matters, the expected value is now equal to the average value of a single roll,
a) In the first scenario, where you roll a die and are given an amount in dollars equal to the number on the die, the expected value of the game can be calculated by taking the average of all possible outcomes.
Since the die has six sides and each side is equally likely to come up, the expected value is calculated as (1/6 * 1) + (1/6 * 2) + (1/6 * 3) + (1/6 * 4) + (1/6 * 5) + (1/6 * 6) = 3.5 dollars.
Therefore, if you played this game a lot of times, you would expect to pay an average of 3.5 dollars per game.
b) In the second scenario, where you have the option to roll a second time and are obligated to take the number of dollars from the second roll, the expected value changes. Let's analyze the possible outcomes:
- If you decide to take the money from the first roll, the expected value is the same as in the previous scenario, which is 3.5 dollars.
- If you decide to roll a second time, the expected value is again calculated by taking the average of all possible outcomes.
However, since the second roll is the only one that matters, the expected value is now equal to the average value of a single roll, which is (1/6 * 1) + (1/6 * 2) + (1/6 * 3) + (1/6 * 4) + (1/6 * 5) + (1/6 * 6) = 3.5 dollars.
The worth of the game in the second scenario is the maximum value between the expected value of taking the money from the first roll (3.5 dollars) and the expected value of rolling a second time (3.5 dollars).
Therefore, the worth of the game remains at 3.5 dollars.
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The worth of the game depends on the scenario. In the first scenario, where you only roll once, the worth is around 3.5 dollars. In the second scenario, where you have the option to roll a second time, the worth is less than 2 dollars.
a) If you roll a die and are given an amount in dollars equal to the number on the die, the expected value of this game can be calculated by taking the average of the possible outcomes. Since there are six possible outcomes (numbers 1 to 6), the expected value is the sum of these outcomes divided by 6.
The expected value is (1+2+3+4+5+6) / 6 = 3.5 dollars.
To find what you would pay to play this game, you would ideally want to pay an amount less than the expected value to make it a profitable game. However, if you played this game a lot of times, the law of large numbers suggests that your average outcome will approach the expected value. Therefore, it would be reasonable to pay around 3.5 dollars to play this game.
b) In the second scenario, if you roll the die and have the option to either take the money from the first roll or roll a second time and take the second roll's amount, the expected value changes. Now, you have a 1/6 chance of getting each number from the first roll and a 1/6 chance of getting each number from the second roll.
To calculate the expected value, you need to consider both possibilities. You would calculate the average of the outcomes from the first roll and the outcomes from the second roll, and then take the maximum of these two values.
For example, if you roll a 1 on the first roll, the expected value from the first roll would be 1. If you roll a 2 on the second roll, the expected value from the second roll would be 2. The maximum of these two values is 2. Therefore, the expected value for this game is 2 dollars.
When deciding what this game is worth, you would want to pay an amount less than the expected value to make it profitable. So, in this scenario, you would ideally want to pay less than 2 dollars to play this game.
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ty-qy+p=r solve for y
Answer:
\(\huge\boxed{y= \frac{r-p}{t-q}}\)
Step-by-step explanation:
In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.
Step 1: Subtract \(p\) from both sides of the equation.
\(ty - qy + p - p = r\) \(ty-qy=r - p\)Step 2: Factor out the common term \(y\) from the left side
\(y( t-q ) = r-p\)Step 3: Divide both sides by \(t-q\)
\(\frac{y(t-q)}{t-q} = \frac{r-p}{t-q}\) \(y = \frac{r-p}{ t-q}\)Hope this helped!
Given that x = 7.5 m and θ = 39°, work out BC rounded to 3 SF.
Given that x = 7.5 m and θ = 39°, work out BC rounded to 3 SF. The triangle shown is a right-angled triangle Therefore, BC = x * tan θBC = 7.5 * tan 39°BC = 7.5 * 0.8090 (tan 39° to 4 decimal places)BC = 6.0675.
Therefore, BC rounded to 3 SF is 6.07 m (rounded up because the next digit is 5 or more).
Calculate BC rounded to 3 SF
Given that x = 7.5 m and = 39°.
A right-angled triangle is seen in the image.
BC = x * tan, or BC = 7.5 * tan, 39°, follows.
(Tan 39° to 4 decimal places) BC = 7.5 * 0.8090BC = 6.0675Because the following digit is 5 or higher, BC is rounded up to 3 SF, which is 6.07 m.
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A rectangular prism measures 2 in. by 4 in. by 8 in. What is the side length in inches of a cube with the same volume?
Answer:
8
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2 times 4 times 8 (volume = length times width times height) is 64. A prism with the same volume would have to have a side length of 4 because 4 times 4 times 4 = 64.
What is the correct sequence of organs for the formation and elimination of urine?.
The analysis of the kidney exists named urology. The kidney exists as a bean-shaped organ. The Kidney exists metanephric in nature and is located retroperitoneal in position.
What is a kidney?The organ current in the body which regulates the fluid concentration of the body exists named the kidney.
The nephron exists as the structural and operational unit of the kidney.
The sequence of the appearance of the kidney exists as pursues:-
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rewrite the following linear equation in general form
Given:
The linear equation is:
\(y+6=-\dfrac{5}{2}(x+4)\)
To find:
The general form of the given linear equation.
Solution:
The general form of a line is equation is:
\(Ax+By=C\)
We have,
\(y+6=-\dfrac{5}{2}(x+4)\)
Multiply both sides by 2.
\(2(y+6)=-5(x+4)\)
\(2(y)+2(6)=-5(x)-5(4)\)
\(2y+12=-5x-20\)
Isolating variable terms, we get
\(2y+5x=-20-12\)
\(5x+2y=-32\)
Therefore, the general form of the given linear equation is \(5x+2y=-32\).
Please show work. Thanks
As a last step before Mario hits send on a company press release, what should he to ensure it is accurate?produce an outline to organize the content in the documentdouble-check all spellings and numbers in the documentevaluate the logic and persuasiveness of the documentchange the font that is used in the document
Mario should proofread the press release to catch any typos or errors, ensure all numbers and spellings are correct, and make sure the content is logical and persuasive.
Mario should begin by producing an outline to organize the content of the document and make sure it follows a logical flow. He should then double-check all spellings and numbers in the document to ensure accuracy. He should then evaluate the logic and persuasiveness of the document to make sure it conveys the information effectively. Lastly, he should change the font that is used in the document to make it more visually appealing. By following these steps, Mario can ensure that the press release is accurate and effective.
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What is the name given to the ordered pair(0, 0) ?
The orgin
the y coordinate
the orderd pair
the X coordinate
\({ \green{ \tt{the \: origin}}}\)
The name given to the ordered pair (0,0) is the origin.
Answer:
a) The orgin
Step-by-step explanation:
Now we have to,
→ find the name of the ordered pair.
The coordinates are,
→ (0,0)
{It is the origin, where both axis collides}
Hence, the option (a) is correct.
HELP ME PLEASE THE QUESTION IS ATTACHED
First you do 4 x 650 = 2600. This is the total of 4 blocks and the other one would make the 5.
So now you do 3000 - 2600 = 400. So the mass of the other block is 400.
Answer:
The Answer is 400g. The work is shown down below. Hope this will help you out a little for you to understand it.
Step-by-step explanation:
five block weight is 3kg
The 4th block of each weight is 650
The total of 4 blocks equals 650 times 4 equals 2600 gram
each kg=1000 gram
The five blocks: 3 times 1000=3000 gram.
the fifth block weighs equal 3000 subtract 2600 equals 400 grams
PS: I hope this helps and Have an Amazing Day!!
Write the equation of a line with an undefined slope through the point (-4, 2)
Answer:
x = - 4
Step-by-step explanation:
A line with an undefined slope is a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (- 4, 2 ) with x- coordinate - 4 , then
x = - 4 ← equation of line
Is the following equation a linear function or a nonlinear function?
y = x² + 4x − 13
Answer: To determine if an equation is a linear function, it must have the form y = mx + b (in which m is the slope and b is the y-intercept). A nonlinear function will not match this form.
Multiply
а) (x + 2) (х+3)
Answer:
x^2+5x+6
Step-by-step explanation:
\(\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6\)
Write the slope-intercept form of the equation for the line. (-1,-3) (1,1)
Answer:
y = 2 x − 1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
We can find the slope from the slope equation
m = (y2-y1)/(x2-x1)
= ( 1- -3)/(1 - -1)
= (1+3)/(1+1)
= 4/2
=2
Pls help! i can get pt1 but not Pt2
Answer: 18/20
Step-by-step explanation:
While traveling along a highway a driver slows from 48 m/s to 30 m/s in 24 seconds. What is theautomobile’s acceleration?a.+ 0.75 m/sb.-0.75 m/sc.+0.75 m/s2d.-0.75 m/s2
Answer:
i dont care
its -75m/sc
Step-by-step explanation:
Which statement is true about the diagram
Answer:
DEF is a right angle
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
leena bakes a loaf of bread. She eats 1/8 of the loaf and gives 1/6 of it to each of her 3 friends. What fraction of the loaf of bread is left
Answer:
3/8
Step-by-step explanation:
So, Leena eats 1/8 of the bread first.
Now, she gave 1/6 of the bread to EACH of her 3 friends.
So you will need to do 1/6*3, which is 3/6=1/2.
Now you want to do 1/8+1/2 = 1/8+4/8 = 5/8.
This means 5/8 of the bread is gone.
Now you will need to do 1-5/8 = 8/8-5/8=3/8.
Therefore, 3/8 of the bread is left.
I hope this helps!
complaints about an internet brokerage firm occur at a rate of 3 per day. the number of complaints appears to be poisson distributed. a. find the probability that the firm receives 2 or more complaints in a day. probability
The probability that the firm receives 2 or more complaints in a day is 0.33.
This can be calculated using the Poisson distribution formula. The Poisson distribution is a probability distribution used to calculate the probability of an event occurring a given number of times in a fixed interval of time or space.
It is based on the assumption that the rate of occurrence of an event is constant.
In this case, we are looking at the probability of the firm receiving 2 or more complaints in a day. Let x = 2, where x is the number of complaints in a day. Then, the Poisson distribution formula is: P(x) = (e-λ λx) / x!
Where e = 2.71828 and λ = 3 (the rate of complaints per day).
Plugging in the values, we get: P(2) = (2.71828-3 * 32) / 2! = 0.33. Therefore, the probability that the firm receives 2 or more complaints in a day is 0.33.
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After collecting data, a scientist found, on average, the total energy a crow uses to break open a whelk when flying at a height of h meters can be modeled by 27. +1)h
w(h) = -0.51 Based on this scientist's model, what is the minimal amount of work the bird can expend to break open a whelk shell?
a) 28.7
b) 25.5
c)34.9
d) 16.6
The minimal amount of work the bird can expend to break open a whelk shell can be found by minimizing the function 27 + 1)hw(h) = -0.51.
To find the minimal value, we need to find the minimum value of the function w(h). Since no specific equation for w(h) is provided, we can assume that w(h) is a linear function of h.
Let's rewrite the given equation in a more simplified form:
w(h) = -0.51 / (27 + 1)h
To find the minimum value of w(h), we need to find the maximum value of the denominator, (27 + 1)h.
The maximum value of the denominator occurs when h is at its highest possible value. However, no information about the maximum height is given in the problem.
Therefore, without further information about the range of values for h, we cannot determine the minimal amount of work the bird can expend to break open a whelk shell.
As a result, none of the options provided (28.7, 25.5, 34.9, 16.6) can be conclusively determined to be the minimal amount of work.
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graph each linear inequality (3.)x-y>5 m= , b=(5.) y ≥ -5/3 x + 1. m=. b= -2x+y<5 m=. b=(7.) 4x-2y -8. m=. b=2x-y<4 5. m=. b=
For a equation of the form:
\(\begin{gathered} y=mx+b \\ or \\ ymx+b \\ or \\ y\le mx+b \\ or \\ y\ge mx+b \end{gathered}\)m = slope
b = y-intercept
for:
\(\begin{gathered} x-y>5 \\ \text{solve for y:} \\ y-------(5)
\(\begin{gathered} y\ge-\frac{5}{3}x+1 \\ m=-\frac{5}{3} \\ b=1 \\ ----- \\ y<2x+5 \\ m=2 \\ b=5 \end{gathered}\)(7)
\(\begin{gathered} y<2x+4 \\ so\colon \\ m=2 \\ b=4 \\ ------- \\ y<2x+5 \\ so\colon \\ m=2 \\ b=5 \end{gathered}\)
5. Solve the system using the method of elimination: 4x - 5y = 3x+5y = 37 TAI 0, [C] -4, 16 [B] (4, 5) [D] no solution
Answer: The elimination method is a technique for solving systems of linear equations. Let's walk through a couple of examples.
Example 1
We're asked to solve this system of equations:
\begin{aligned} 2y+7x &= -5\\\\ 5y-7x &= 12 \end{aligned}
2y+7x
5y−7x
=−5
=12
We notice that the first equation has a 7x7x7, x term and the second equation has a -7x−7xminus, 7, x term. These terms will cancel if we add the equations together—that is, we'll eliminate the xxx terms:
\begin{aligned} 2y+\redD{7x} &= -5 \\ +~5y\redD{-7x}&=12\\ \hline\\ 7y+0 &=7 \end{aligned}
2y+7x
+ 5y−7x
7y+0
=−5
=12
=7
Solving for yyy, we get:
\begin{aligned} 7y+0 &=7\\\\ 7y &=7\\\\ y &=\goldD{1} \end{aligned}
7y+0
7y
y
=7
=7
=1
Plugging this value back into our first equation, we solve for the other variable:
\begin{aligned} 2y+7x &= -5\\\\ 2\cdot \goldD{1}+7x &= -5\\\\ 2+7x&=-5\\\\ 7x&=-7\\\\ x&=\blueD{-1} \end{aligned}
2y+7x
2⋅1+7x
2+7x
7x
x
=−5
=−5
=−5
=−7
=−1
The solution to the system is x=\blueD{-1}x=−1x, equals, start color #11accd, minus, 1, end color #11accd, y=\goldD{1}y=1y, equals, start color #e07d10, 1, end color #e07d10.
We can check our solution by plugging these values back into the original equations. Let's try the second equation:
\begin{aligned} 5y-7x &= 12\\\\ 5\cdot\goldD{1}-7(\blueD{-1}) &\stackrel ?= 12\\\\ 5+7 &= 12 \end{aligned}
5y−7x
5⋅1−7(−1)
5+7
=12
=
?
12
=12
Yes, the solution checks out.
If you feel uncertain why this process works, check out this intro video for an in-depth walkthrough.
Example 2
We're asked to solve this system of equations:
\begin{aligned} -9y+4x - 20&=0\\\\ -7y+16x-80&=0 \end{aligned}
−9y+4x−20
−7y+16x−80
=0
=0
We can multiply the first equation by -4−4minus, 4 to get an equivalent equation that has a \purpleD{-16x}−16xstart color #7854ab, minus, 16, x, end color #7854ab term. Our new (but equivalent!) system of equations looks like this:
\begin{aligned} 36y\purpleD{-16x}+80&=0\\\\ -7y+16x-80&=0 \end{aligned}
36y−16x+80
−7y+16x−80
=0
=0
Adding the equations to eliminate the xxx terms, we get:
\begin{aligned} 36y-\redD{16x} +80&=0 \\ {+}~-7y+\redD{16x}-80&=0\\ \hline\\ 29y+0 -0&=0 \end{aligned}
36y−16x+80
+ −7y+16x−80
29y+0−0
=0
=0
=0
Solving for yyy, we get:
\begin{aligned} 29y+0 -0&=0 \\\\ 29y&=0 \\\\ y&=\goldD 0 \end{aligned}
29y+0−0
29y
y
=0
=0
=0
Plugging this value back into our first equation, we solve for the other variable:
\begin{aligned} 36y-16x+80&=0\\\\ 36\cdot 0-16x+80&=0\\\\ -16x+80&=0\\\\ -16x&=-80\\\\ x&=\blueD{5} \end{aligned}
36y−16x+80
36⋅0−16x+80
−16x+80
−16x
x
=0
=0
=0
=−80
=5
The solution to the system is x=\blueD{5}x=5x, equals, start color #11accd, 5, end color #11accd, y=\goldD{0}y=0y, equals, start color #e07d10, 0, end color #e07d10.
Want to see another example of solving a complicated problem with the elimination method? Check out this video.
Practice
PROBLEM 1
Solve the following system of equations.
\begin{aligned} 3x+8y &= 15\\\\ 2x-8y &= 10 \end{aligned}
3x+8y
2x−8y
Step-by-step explanation:
Convert 25 ounces into grams. Round your answer to the nearest whole number.
Step-by-step explanation:
1 ounces equal to 28.35 grams
Apply stoichiometry
as in the picture uploaded
Your grandmother is 87 years old and she has remarked to you that nearly all of her friends are women. She told you that it is rare to see a man older than age 85. She is correct because, after age 85, for every 100 men, there are __________.
200 women
The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.
Given,
In the question:
Your grandmother is 87 years old and she has remarked to you that nearly all of her friends are women. She told you that it is rare to see a man older than age 85. She is correct because, after age 85, for every 100 men, there are __________.
Now, According to the question:
Your grandmother is 87 years old and she told you that all of her friends are women. There is no single man in her circle of friends. She also told that it is rare to see a man over the age of 85. It is because of the fact that women are more in number than man above the age of 85 and this ratio is like 100 men per 200 women, which means the chances of getting a male friend is almost half after the age of 85. So women are more in number than men.
Hence, The correct answer is Yes, past age 85 years of age, for every 100 men, there are 200 women.
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Find the ratio. Then find and interpret the value of the ratio.
Answer:
Ratio = 4:2
Value of the ratio = 2
The amount of club soda is 2 times the amount of white grape juice
Step-by-step explanation:
not sure of the value of the ratio though ;-;
3) A lottery ticket says that the chances of winning are 1 in 8. Suppose you buy 10 of these lottery tickets. Find the probability that at least one of them will be a winner
The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.
The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:
(7/8)^10 = 0.362
This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:
P(at least one winner) = 1 - P(no winners)
P(at least one winner) = 1 - 0.362
P(at least one winner) = 0.638
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Solve for f please I need help
Answer:
See Below
Step-by-step explanation:
Isolate f
h = 4 + f
-4 -4
h - 4 = f
Or f = h-4
You wish to test whether a correlation is significant. Calculate the test statistic for a sample with correlation coefficient r = 0.5 and sample size n = 30 0.27 2.63 3.06 3.16
The test statistic for a sample with correlation coefficient r = 0.5 and sample size n = 30 is 3.06.
To test whether a correlation is significant, we need to calculate the test statistic using the correlation coefficient (r) and the sample size (n). The formula for the test statistic is:
t = r * sqrt(n-2) / sqrt(1-r^2)
Here, r is the correlation coefficient (0.5) and n is the sample size (30).
Plugging in the given values of r = 0.5 and n = 30, we get:
t = 0.5 * √((30 - 2) / (1 - 0.5^2))
t = 0.5 * √(28 / 0.75)
t = 0.5 * √(37.33)
t = 0.5 * 6.11
t ≈ 3.06
Thus, the test statistic for this sample is approximately 3.06. To determine whether the correlation is significant, we would need to compare this test statistic to a critical value from a t-distribution with n-2 degrees of freedom at the desired significance level.
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a boat starts off 172 miles directly west from the city of johnstown. it travels due south at a speed of 30 miles per hour. after travelling 126 miles, how fast is the distance between the boat and johnstown changing? (do not include units in your answer, and round to the nearest hundredth.)
The distance between the boat and Johnstown is changing at a rate of 27.73 miles per hour.
This is calculated by taking the speed of the boat (30 miles per hour) and subtracting the rate of change in the boat's displacement in a southward direction, which is 2.27 miles per hour (calculated by taking the distance travelled (126 miles) and dividing it by the time taken (126/30 = 4.2 hours)).
Distance is a measure of how far something is from a given point, while velocity is a measure of the rate at which something changes its position or moves. Distance is a scalar quantity, meaning it has only magnitude and no direction, while velocity is a vector quantity, meaning it has both magnitude and direction.
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