Simplify
1) 7a+ 1 + 2a + 3
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Please help :') ty ty ty ty ty. Show your work too! :)
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An urn has 4 green balls and 6 red balls. A experiment consists of selecting 5 balls from the urn without replacement. Find the expected number of red balls chosen, and its variance.
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The expected variance of red balls chosen is 2/3 from the urn.
Define the term variance?Variability is measured by the variance. The average of the squared variance is used to calculate it. The degree of dispersion within your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.Six red balls and four green balls are in an urn.
Till a urn is empty, we take balls out of it one at a time without replacing them and noting their order of the colors.
Let X represent the proportion of red balls in the initial five drawings.Y represent the proportion in the next five draws.The, the variance is found as-
Variance(X,Y) = E(XY) - E(X).E(Y).E(XY)
E(XY) = 25×(6/10)(4/9)
E(X) = 5×(6/10)
E(Y) = 5×(4/10)
Thus,
Variance(X,Y) = 25(6/10)(4/9) - 25(6/10)(4/10)
Variance(X,Y) = 2/3
Thus, the variance for choosing red balls is 2/3.
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Three boxes each contain a different number of marbles. Box A has 70 marbles, box B has 88 marbles, and box C has 80 marbles. Marbles are to be transferred from box B to box A. What is the least number of marbles that can be transferred so box C has the most marbles?
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it A
Step-by-step explanation:
the volume 216 whats the lenght in inches
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Answer:
so i the answer is 216 only
x+y=3
2x-y=0
substituition method
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Answer:
(1, 2 )
Step-by-step explanation:
x + y = 3 (subtract x from both sides )
y = 3 - x → (1)
2x - y = 0 → (2)
Substitute y = 3 - x into (2)
2x - (3 - x) = 0
2x - 3 + x = 0
3x - 3 = 0 ( add 3 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into (1)
y = 3 - 1 = 2
solution is (1, 2 )
Please help...My answer is close but not close enough..
No links :)
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Answer:
76
Step-by-step explanation:
(5x3)+(5x3)=30
15-6=9
5x9=45
45+30=75
Since 76 is the closest to 75 it's 76
Find x of the triangle
Answers
Answer: x = 22
Step-by-step explanation:
We will use the exterior angle theorem to solve. First, we will write an equation, then we will solve by combing like terms are using inverse operations.
(6x - 7) = (2x) + (103 - x)
6x - 7 = 2x + 103 - x
6x - 7 = x + 103
5x = 110
x = 22
I just need like a step by step I haven't understood what my teacher has taught me here
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You are given degree 42
You also given the longest side of 19 (This is known as the hypothenuse)
Cosine: adjacent/hypothenuse
Cos42 = x/19
0.7431448255 = x/19
x = 19 * 0.7431448255
x = 14.11975168, round to tenth
Solution: x = 14.1
Dr. Fahrrad has been riding his bike to his job and is curious how many ATP his body is breaking apart in order to do the work required to get to his job.
Dr. Fahrrad rides 4.6 kilometers to his job, has a mass of 74.9 kilograms and has an average acceleration of 1.4 kilometers per second squared.
The molecule ATP is able to do work, measured in kilojoules per mole of ATP broken into ADP. The SI unit for work is a joule. Using the information given we can calculate work and then convert to moles of ATP.
The first step is to take stock of what we are given in the word problem and what we are trying to find. We have mass, distance, and average acceleration. We are trying to find how many ATP are required to power the bike ride to work.
The equation for work, is force times distance and will tell us how many joules Dr. Farrhad is using on his bike ride. It also incorporates one of our given variables, distance. However, the distance was reported in kilometers and the SI unit of distance is the meter. It is necessary to convert to meters before using this equation.
The equation for Force is mass times acceleration. This will incorporate our remaining two variables, mass and acceleration. Again, the information given to us was in km·s-2 but the SI unit for acceleration is m·s-2. It is necessary to convert to m·s-2 before substituting into the equation.
By substituting the equation for F into the equation for W, we can figure out how many joules Dr. Fahrrad is burning on his ride to his job.
In order to use these equations, we are assuming quite a few things. Below are some of the assumptions.
no friction
no mass of the bike
a flat ride with no change in altitude
This equation above will calculate work in joules. The conversion factor for switching between ATP and work is given in kilojoules. The units must match to correctly perform the conversion.
The last step is to convert work, calculated in joules, into moles of ATP being broken required to do the work. If we assume standard temperature and pressure, the breakdown of a mole of ATP releases 29 kilojoules available to do work.
How many moles of ATP is Dr. Farrhad breakdown to get to work? Report your answer to one decimal place.
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Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.
The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:
W = F * d
where:
W is the work done in joules
F is the force in newtons
d is the distance in meters
The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.
The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.
Plugging these values into the equation for work, we get:
W = 102.8 N * 4600 m = 472320 J
The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:
472320 J / 29 kJ/mol = 162.6 mol
To one decimal place, this is 0.23 moles of ATP.
Here are the assumptions that we made in this calculation:
No friction
No mass of the bike
A flat ride with no change in altitude
These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.
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MovieFlix charges an annual fee of $35 plus $3.50 per movie you stream online. CineView has no annual fee, but charges $4.25 per movie watched. For how many movies is the cost of the plans the same?
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Answer:
Step-by-step explanation:
y= 3.50m + 35
y= 4.25m
4.25m = 3.50m + 35
.75m = 35
m = about 47 movies
Jackie has two puppies. One weighs 5 9/16 pounds and the other weighs 6 1/4 pounds. Find the difference in their weights.
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weights = pounds
Answer: Jackie has two puppies. One weighs 5 9/16 pounds and the other weighs 6 1/4 pounds. Find the difference in their weights.
Step-by-step explanation:
"DIFFERENCE" means to subtract their weights. We will subtract lesser amount from the greater amount to get our answer.
Also, we need to first make these mixed numbers into improper fractions by using the rule below:
If a number is given in this form:
We can do the operation below to make it improper fraction:
The bigger number is . So we subtract the other from this after changing to improper fraction.
and
Now, we subtract via doing LCM and get our answer: The difference in weight is 11/16 pounds
How do you solve quotients step by step?
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We can Long Division method to solve quotients step by step
What is long division method and its steps ?
When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.
We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.
1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.
2. Next, divide it by the divisor, and write the result as the quotient on top.
3. Subtract the outcome from the digit, and then put the difference below.
Step 4: Decrease the dividend's subsequent digit (if present).
Step 5: Carry out Step 4 again.
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Which of the following defines workplace politics?
O Choices made according to law
O Beliefs of a person or social group in which they have an emotional investment
O Games played in a workplace environment to achieve status, advancement and money
O Professional standards of conduct, based on moral principles and values, guilding decision-making and actions
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Answer:
"Games played in a workplace environment to achieve status, advancement and money"
Determine whether the variable is qualitative or quantitative. Hair color Is the variable qualitative or quantitative? O A. The variable is quantitative because it is a numerical measure. O B. The variable is quantitative because it is an attribute characteristic. O C. The variable is qualitative because it is a numerical measure. OD. The variable is qualitative because it is an attribute characteristic. Determine whether the quantitative variable is discrete or continuous. Number of members present at a meeting Is the variable discrete or continuous ? O A. The variable is continuous because it is countable. O B. The variable is continuous because it is not countable. C. The variable is discrete because it is not countable. D. The variable is discrete because it is countable.
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1. The variable is qualitative or quantitative is the variable is qualitative because it is an attribute characteristic (option d). 2. The quantitative variable is discrete or continuous is the variable is discrete because it is countable (option d).
The variable "Hair color" is qualitative because it represents an attribute characteristic rather than a numerical measure. It refers to the different categories or qualities of hair color, such as blonde, brown, black, or red. It is not based on a numerical scale or measurement. Therefore, the correct answer is D) The variable is qualitative because it is an attribute characteristic.
The variable "Number of members present at a meeting" is discrete because it is countable and takes on distinct, separate values. It cannot take on any value between the integers, and there are no fractions or decimals involved. The number of members present can only be whole numbers, such as 0, 1, 2, 3, and so on. Therefore, the correct answer is D) The variable is discrete because it is countable.
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use the information given to find the value of n in each of the following sets of number
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Answer:
No picture try uploading it again and I can see if I can help you
Which value of x makes the expression above equivalent to 14 Square root 7?
Pls helppppppppppppppp
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Answer:
B. 4
Step-by-step explanation:
First, let's evaluate the first expression:\(7 \sqrt{7x} = \sqrt{49 \times 7x} \)
We can just remove the √ from both sides to make it easier to see, so49 × 7x = 343x
Now, let's evaluate the second expression:14√7 = √(1372)
To see what value would make the first expression equal to the second expression, we can divide the the second expression by first expression:1372 ÷ 343 = 4 this is the vaule of x.
Comment trouver les valeurs à mettre dans une table de valeurs selon le problème?
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Answer:
How to find the values to put in a table of values according to the problem?
Step-by-step explanation:
195+ -25+-81
pls help it my hw
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Answer:
89
Step-by-step explanation:
195+-25=170
170+-81=89
Hope this helps:)
Pls give brainliest.
If 4y = 3x - 1, then x = ?
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Answer:
\(x = \frac{4y + 1}{3} \)
The goal is to isolate the X value. So the first step would be to add 1 to both sides, making the equation 4y + 1 = 3x.
Then you divide both sides by 3, making the equation (4y + 1)/3 = x
If you have a Y value then you'd plug it in for Y and solve for x but since there isn't one provided you're done.
Replace the emojis with the correct numbers! Each emoji is worth the same amount each problem. (Example: Snowman is worth the same in each problem)
☃️ + ⭐ = 20
+ ☃️ = 8
⭐ = ?
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Hope this helps!
Waldo Books needs to decide how many copies of a new hardcover release to purchase for its shelves. The store has assumed that demand will be 50, 100, 150, or 200 copies next month, and it needs to decide whether to order 50, 100, 150, or 200 books for this period. Each book costs Waldo $20 and can be sold for $30. Waldo can sell any unsold books back to the supplier for $4.
(a) Which option should Waldo choose if it uses the maximax criterion?
(b) Which option should Waldo choose if it uses the maximin criterion?
(c) Which option should Waldo choose if it uses the equally likely criterion?
(d) Which option should Waldo choose if it uses the criterion of realism with a = 0.7?
(e) Which option should Waldo choose if it uses the minimax regret criterion?
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Answer:
(a) Maximax criterion: Order 200 books.
(b) Maximin criterion: Order 200 books.
(c) Equally likely criterion: Order 200 books.
(d) Criterion of realism with a = 0.7: Calculate the expected payoff based on the chosen value of a and select the corresponding option.
(e) Minimax regret criterion: Order 200 books.
Step-by-step explanation:
The maximax criterion involves selecting the option with the highest possible payoff. We will calculate the maximum payoff for each option and choose the one with the highest value.Payoff for ordering 50 books:
Revenue = 30 * 50 = $1500
Maximum payoff = $1500Payoff for ordering 100 books:
Revenue = 30 * 100 = $3000
Maximum payoff = $3000Payoff for ordering 150 books:
Revenue = 30 * 150 = $4500
Maximum payoff = $4500Payoff for ordering 200 books:
Revenue = 30 * 200 = $6000
Maximum payoff = $6000Based on the maximax criterion, Waldo should choose the option of ordering 200 books since it has the highest maximum payoff.(b) Maximin Criterion:
The maximin criterion involves selecting the option with the highest minimum payoff. We will calculate the minimum payoff for each option and choose the one with the highest value.Payoff for ordering 50 books:
Revenue = 30 * 50 - (20 * 50 - 4 * 50) = $900
Minimum payoff = $900Payoff for ordering 100 books:
Revenue = 30 * 100 - (20 * 100 - 4 * 100) = $1800
Minimum payoff = $1800Payoff for ordering 150 books:
Revenue = 30 * 150 - (20 * 150 - 4 * 150) = $2700
Minimum payoff = $2700Payoff for ordering 200 books:
Revenue = 30 * 200 - (20 * 200 - 4 * 200) = $3600
Minimum payoff = $3600Based on the maximin criterion, Waldo should choose the option of ordering 200 books since it has the highest minimum payoff.(c) Equally Likely Criterion:
The equally likely criterion assumes that each demand level is equally likely to occur. We will calculate the expected payoff for each option and choose the one with the highest value.Expected payoff for ordering 50 books:
Expected revenue = (30 * 50 + 4 * (50 - 50)) / 4 = $375
Expected payoff = $375Expected payoff for ordering 100 books:
Expected revenue = (30 * 100 + 4 * (50 - 100)) / 4 = $750
Expected payoff = $750Expected payoff for ordering 150 books:
Expected revenue = (30 * 150 + 4 * (50 - 150)) / 4 = $1125
Expected payoff = $1125Expected payoff for ordering 200 books:
Expected revenue = (30 * 200 + 4 * (50 - 200)) / 4 = $1500
Expected payoff = $1500Based on the equally likely criterion, Waldo should choose the option of ordering 200 books since it has the highest expected payoff.(d) Criterion of Realism with a = 0.7:
The criterion of realism involves assigning a weight (0 ≤ a ≤ 1) to the optimistic payoff and the remaining weight (1 - a) to the pessimistic payoff. We will calculate the expected payoff for each option using the given value of a and choose the one with the highest value.Expected payoff for ordering 50 books:
Expected revenue = a * (30 * 50) + (1 - a) * (30 * 50 - 20 * 50 + 4 * 50) = $450a
Expected payoff = $450aExpected payoff for ordering 100 books:
Expected revenue = a * (30 * 100) + (1 - a) * (30 * 100 - 20 * 100 + 4 * 100) = $900a
Expected payoff = $900aExpected payoff for ordering 150 books:
Expected revenue = a * (30 * 150) + (1 - a) * (30 * 150 - 20 * 150 + 4 * 150) = $1350a
Expected payoff = $1350aExpected payoff for ordering 200 books:
Expected revenue = a * (30 * 200) + (1 - a) * (30 * 200 - 20 * 200 + 4 * 200) = $1800a
Expected payoff = $1800aTo find the maximum expected payoff, we can compare the values of a * 450, a * 900, a * 1350, and a * 1800 for different values of a. The optimal value of a will determine the corresponding option.(e) Minimax Regret Criterion:
The minimax regret criterion involves calculating the regret for each option and selecting the one with the minimum regret. Regret represents the difference between the maximum possible payoff and the actual payoff.Regret for ordering 50 books:
Regret = 6000 - (30 * 50 - (20 * 50 - 4 * 50)) = $5250
Minimum regret = $5250Regret for ordering 100 books:
Regret = 6000 - (30 * 100 - (20 * 100 - 4 * 100)) = $4200
Minimum regret = $4200Regret for ordering 150 books:
Regret = 6000 - (30 * 150 - (20 * 150 - 4 * 150)) = $3150
Minimum regret = $3150Regret for ordering 200 books:
Regret = 6000 - (30 * 200 - (20 * 200 - 4 * 200)) = $2100
Minimum regret = $2100Based on the minimax regret criterion, Waldo should choose the option of ordering 200 books since it has the minimum regret.
Waldo Books is facing a decision theory problem. By different criteria, the decision to order books can change. By maximax, Waldo should order 200 books, by maximin, 50 books. By equally likely, realism, and minimax regret criteria, computations considering payoffs, optimism levels, and potential regrets are needed.
Explanation:This is a "decision theory problem" in the field of business and economics. Let's calculate the profit from each option. Profit will be $10 for each book sold (revenue of $30 minus cost of $20) and a loss of $16 for each book not sold (cost of $20 minus resell value of $4).
Maximax criterion is when Waldo selects the alternative with the highest possible outcome. In this case, Waldo should order 200 books as he could make the most profit if demand is also at 200. Maximin criterion is when Waldo chooses the option with the best worst-case scenario. Here, Waldo should order 50 books as this would minimize the potential for unsold books. For the equally likely criterion, each level of demand is assumed to be equally probable, so the average profit for each order size should be calculated. The number with the highest average profit should be chosen. In the criterion of realism (also considered a 'compromise' criterion), there's a coefficient of optimism (a value between 0 and 1) that measures the decision-maker's optimism. Here, 'a' is 0.7. The larger the 'a', the more optimistic the decision-maker is. We calculate [a*(max payoff)+(1-a)*(min payoff)] for each alternative and pick the largest. The minimax regret criterion is about minimizing the maximum regret. Regret is the difference between the payoff from the best decision and all other decision payoffs. The decision with the smallest maximum 'regret' is chosen. Learn more about Decision Theory here:
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How do you factor 1x^2+9x+2
Answers
Answer:
not factorable
Step-by-step explanation:
To factor a trinomial of the type x^2 + ax + b, you need to find two numbers that add to a and multiply to b.
You have 1x^2 + 9x + 2.
In this case, a = 9 and b = 2.
There are no two integers whose sum is 9 and whose product is 2, so this trinomial is not factorable.
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 20.5 centimeters. After 22 hours of burning, its height is 15.4 centimeters. What is the height of the candle after 7 hours
Answers
The height of the candle after 7 hours is 20.9 centimeters.
Given that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning, we can find the equation of the linear function from the given information.
The given information can be tabulated as follows:
Time (hours)Height (centimeters)
After 5 hours 20.5 After 22 hours15.4
Let the height of the candle after x hours be y. Since the height of the candle is a linear function of the amount of time, we can use the slope-intercept form of the equation of a line to find the equation of the linear function, which is given by y = mx + b, where m is the slope and b is the y-intercept.
The slope of the line is given by \(m = (y₂ - y₁) / (x₂ - x₁)\)
Using the values of (x₁, y₁) = (5, 20.5) and
(x₂, y₂) = (22, 15.4),
we get m = (15.4 - 20.5) / (22 - 5)
= -5.1 / 17 = -0.3
Therefore, the equation of the line is y = -0.3x + b
Substituting the values of (x, y) = (5, 20.5),
we get
20.5 = -0.3(5) + b
=> b = 20.5 + 1.5 = 22
Substituting the values of m = -0.3 and b = 22 in the equation of the line, y = -0.3x + 22
Therefore, the height of the candle after 7 hours isy = -0.3x + 22
Substituting x = 7, we gety = -0.3(7) + 22= 20.9
Therefore, the height of the candle after 7 hours is 20.9 centimeters.
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Sean scored 22 points in 16 basketball games last season. Approximately how many points did Sean average per game?
Answers
Answer:
1.375 points
Step-by-step explanation:
The air pressure, P millibars, at a distance of n kilometres above sea level is given by this formula:
P = 1013 × 0.887
a) What is the air pressure at sea level?
b) By what percentage does the air pressure decrease for each kilometre above sea level?
PLEASEE HELPP BEG!!!!
Answers
a) The air pressure at sea level is given by the formula when n = 0, so P = 1013 × 0.887 = 900.71 millibars.
b) To find the percentage decrease in air pressure for each kilometre above sea level, we can use the formula for percentage change:
(New Value - Original Value) / Original Value * 100
What is air pressure?Air pressure, also known as atmospheric pressure, is the force exerted on a surface by the weight of the air above it. Air pressure is typically measured in units such as millibars (mb) or inches of mercury (inHg). It plays an important role in weather patterns and can affect things like airplane flight and altitude sickness.
What is sea level?Sea level refers to the average level of the surface of the ocean. It is used as a reference point for measuring elevation, and for measuring air pressure at a specific location. At sea level, the air pressure is approximately 1013 millibars or 29.92 inches of mercury (inHg). Air pressure decreases as the altitude increases above sea level.
The new value is P = 1013 × 0.887^n and the original value is P = 1013 (at sea level)
So, the percentage decrease in air pressure for each kilometre above sea level is:
(1013 × 0.887^n - 1013) / 1013 * 100 = (-0.113n) * 100 = -11.3n %
So, the air pressure decreases by -11.3 % for each kilometre above sea level.
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PLEASE HELP ILL GIVE BRAINLIEST!!
Answers
Answer:
Yes it is yellow
Step-by-step explanation:
You are correct
what are the domain and range of the following quadratic
Answers
Answer:
ranalllldooo
Step-by-step explanation:
suiiiiiii
Who can help me do a statistics summary for a math class?
Answers
Answer:
I can try
Step-by-step explanation:
Quadrilateral UVWX is a kite. What is mZw?
Answers
Answer:
80°Step-by-step explanation:
According to properties of the kite, it has one pair of congruent opposite angles:
m∠U = m∠WWe have two angle measures given and the sum of interior angles is 360:
m∠U + m∠W + m∠X + m∠V = 3602*m∠W + 116 + 84 = 3602*m∠W + 200 = 3602*m∠W = 160m∠W = 80Answer:
m∠W = 80°
Step-by-step explanation:
Properties of a kite:
Quadrilateral (two-dimensional shape with 4 sides)Two pairs of consecutive equal sidesDiagonals are perpendicular to each otherThe longer diagonal bisects the shorter diagonalOne pair of opposite angles are equalInterior angles sum to 360°Area is half the product of its diagonalsAs the interior angles of a kite sum to 360°:
⇒ m∠U + m∠V + m∠W + m∠X = 360°
⇒ m∠U + 84° + m∠W + 116° = 360°
⇒ m∠U + m∠W + 200° = 360°
⇒ m∠U + m∠W = 160°
As one pair of opposite angles are equal, and from inspection of the given kite, opposite angles X and V are not equal, this means that angles U and W are equal.
⇒ m∠U + m∠W = 160°
⇒ 2m∠W = 160°
⇒ m∠W = 80° and m∠U = 80°
Which of the following is a factor of
X^2
- 2x + 15
Select one
X-5
X+3
None of the above
X-3
Answers
Answer:
both (x - 5) and (x - 3) are factors of x^2 - 2x + 15
Step-by-step explanation:
Please write this all on one line: x^2 - 2x + 15.
Recognize that 3*5 = 15. Possible factors of x^2 - 2x + 15 are thus (x - 5) and (x + 3). Multiplying these together results in x^2 - 2x + 15, so we have verified that both (x - 5) and (x - 3) are factors of x^2 - 2x + 15.
f(x) = x² - 2x + 15
Solution:This function f(x) will have the negative "discriminant" in root ; thus forming complex roots
So this function has no rational roots
∴ None of the above is the right answer .