a probability distribution lists all possible outcomes for an experiment and the corresponding probability for each of those outcomes. the probabilities cannot be ; each probability must be between ; and the sum of the probabilities for all of the outcomes must be .
Answers
A probability distribution lists all possible outcomes for an experiment and the corresponding probability for each of those outcomes.
The probabilities cannot be negative; each probability must be between 0 and 1, and the sum of the probabilities for all of the outcomes must be equal to 1. In probability theory, a probability distribution is a mathematical function that links every result of an experiment with the likelihood of it occurring. It describes the chance of occurrence of different possible outcomes in an experiment.
The following are the rules that must be followed for a probability distribution:Each probability value cannot be negative.The range of probabilities for each event must be between 0 and 1.The total probability of all the possible outcomes must be 1. when summed up, all the probabilities of a random variable must add up to 1. A probability distribution lists all possible outcomes for an experiment and the corresponding probability for each of those outcomes.
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Related Questions
NEED HELP ASAP! WILL MARK BRAINLIEST!
The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid. The pressure at 60 feet is 180 pounds per square inch. What is the pressure at 10 feet?
Answers
Multiplying and dividing rational expressions
Answers
Answer:
the answer in the picture
Step-by-step explanation:
Please help me on my assignment I have to do it before taking the test
Answers
Answer:
26
Step-by-step explanation:
w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26
Leah Deposited $7000 in an account that earns 2% interest compounded annually. How much interest will she have earned after 6 years?
Answers
Answer:
840
Step-by-step explanation:
7000×2×6 ÷ 100. since it is 2%
= 840
After the expression above is simplified, what is the coefficient of x expressed as a decimal?
Answers
Answer:
-0.8
Step-by-step explanation:
3/5 × (2x + 5) - 2x =
= 3/5 × 2x + 3/5 × 5 - 2x
= 1.2x + 3 - 2x
= -0.8x + 3
Answer:
-0.8
Step-by-step explanation:
The question asks for the expression to be simplified, so we can start with that. I will put fractions in parentheses for easier readability.
The first step is to distribute the (3/5) to the terms in the parentheses. (3/5) * 2x is (6/5)x, and (3/5) * 5 is 3. The expression we're then left with is (6/5)x + 3 - 2x.
I'm going to convert (6/5) here into a decimal, because it'll, in my opinion, make the later calculations easier, but you don't need to. (6/5) now becomes 1.2.
The second step is to combine like terms, meaning combining the two terms with "x". 1.2x - 2x is -0.8x, giving the final expression of -0.8x + 3.
This is as far as we can go with the simplification. Therefore, the final answer must be the coefficient of x, or the number x is being multiplied by. As it is already a decimal, there's no need to convert.
The coefficient of x here is -0.8, so that is the final answer.
Hope this helps! Let me know if you have any questions.
One angle of an isosceles triangle measures 114°. Which other angles could be in that isosceles triangle?
Answers
The other angle that could be in that isosceles triangle is 33 degrees
Which other angles could be in that isosceles triangle?From the question, we have the following parameters that can be used in our computation:
Angles = 114 degrees
Represent the other angle in the triangle with x
The sum of angles in a triangle is 180 degrees
using the above as a guide, we have the following:
2x + 114 = 180
So, we have
2x = 66
Divide by 2
x = 33
Hence, the angle that could be in that isosceles triangle is 33 degrees
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The other angles could be in that isosceles triangle is 33 degrees
What is an isosceles triangle?The different properties of an isosceles triangle are;
Two sides are congruent to each other.The two angles opposite to the equal sides are congruent to each other. That means it has two congruent base angles and this is called an isosceles triangle base angle theorem.The angle which is not congruent to the two congruent base angles is called an apex angle.The altitude from the apex of an isosceles triangle bisects the base into two equal parts and also bisects its apex angle into two equal angles.The altitude from the apex of an isosceles triangle divides the triangle into two congruent right-angled triangles.Then, from the information given, we have that;
114 + 2x = 180
collect like terms
2x = 180 - 114
subtract the values
2x = 66
x = 33 degrees
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Bob bought 40 gumboils from a quarter machine. The number of each flavor he got is shown in the table. If there are 140 gumboils remaining in the machine, what is a reasonable prediction for the number of cola flavored gumboils left?
Flavors: Amount:
Grape 4
Cherry 12
Cola 16
Orange 8
Answers
Answer:
56 cola flavored gumboils
Step-by-step explanation:
Bob's 40 count of gumballs has 16 cola gumballs
Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5
There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs
So number of cola gumballs left is expected to be 2/5 x 140 = 56
This is only a prediction based on Bob's sample of 40 cola gumballs
A moving company drove one of its trucks 100,042 miles one year. A second truck was driven 98,117 miles, and a third truck was driven 120,890 miles. How many miles were driven by all three trucks?
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Determine the largest tip orifice size (drill number) that could be used with an acetylene cylinder containing 175 cu ft (4956 l).
Answers
Based on the given table, the largest tip orifice size (drill number) that could be used with an acetylene cylinder containing 175 cu ft (4956 l) is 43 drill number.
What is the largest tip orifice size needed?The largest tip orifice is based on the capacity of the acetylene cylinder.
As the acetylene flow rate cannot exceed 1/7 of the capacity, the flow rate is:
= 1/7 x 175
= 25 cfh
From the table given, the drill number that corresponds to 25 cfh is 43 drill no.
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5. Alicia Murphy has a choice of two sizes of stain and varnish. The 237-
milliliter can sells for $3.96, while the 946-milliliter can sells for $7.96.
Which size is the better buy? What must she consider other than price?
Answers
Answer:
946 milliliter can
Step-by-step explanation:
She should consider how much is in it. Which one will last longer and is better. The bigger can has more in it so that one should be bought.
Hope this helps!
A local restaurant recently began to offer an eat-in pizza promotion for their famous double-decker pizza. When priced at $17.99/person, the promotion attracted 112 customers per day on average. When they raised the price to $19.99/person they attracted an average of only 96 customers per day.
What price should the promotion be set at to generate the maximum daily profit?
Answers
Answer:
the price that generates maximum profit is $152.94, rounded to the nearest cent.
Step-by-step explanation:
Let's begin by finding the profit generated by the promotion at each price point.
At $17.99/person:
Profit = Revenue - Cost
Profit = $17.99 x 112 - (10 + 5 + 3) x 112
Profit = $2016.64
At $19.99/person:
Profit = Revenue - Cost
Profit = $19.99 x 96 - (10 + 5 + 3) x 96
Profit = $1497.12
To find the price that generates maximum profit, we need to use the formula:
Price = (Fixed Cost + Variable Cost) / Number of Customers + Profit per Customer
We can assume that the fixed cost for the restaurant is $10,000 per day, and the variable cost per person is $5 for ingredients and $3 for labor.
For $17.99/person:
Price = ($10,000 + (5 + 3) x 112) / 112 + ($2016.64 - $17.99)
Price = $152.94
For $19.99/person:
Price = ($10,000 + (5 + 3) x 96) / 96 + ($1497.12 - $19.99)
Price = $156.24
Therefore, the price that generates maximum profit is $152.94, rounded to the nearest cent.
what is the eccentricity of an infinitely long ellipse?
Answers
Answer:
1
Step-by-step explanation:
Given \(a\), half the length of the major axis, and \(b\), half the length of the minor axis for an ellipse, its eccentricity is \(\displaystyle e=\sqrt{1-\frac{b^2}{a^2}}\), which tells us how close the ellipse is to the shape of a circle or how flat and round it is. An infinitely long ellipse would have an infinitely long major axis, so the greater the \(a\) value, the eccentricity gets infinitely closer to 1.
what's the absolute value of 4.5 ?
Answers
Answer:
the absolute value or 4.5 is 4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
absolute value: the distance away from zero, it will always be positive because distance can't be negative.
thus, the absolute value of 4.5 = the distance of 4.5 to zero, which is 4.5
|4.5| = 4.5
work out the circumfrance of this cirlce take pi to be 3.142 and write down all the digits given by your calculator raduis 10cm
Answers
Answer:
\(C=68.4\)
Step-by-step explanation:
\(Circumference=2\pi r\)
Pi = 3.142
r (radius) = 10 cm
\(C=2(3.142)(10)\)
\(C=(6.84)(10)\)
\(C=68.4\)
Therefore, circumference of a circle with 10 cm radius is 68.4.
I hope this helps......
The angle of elevation to a nearby tree from a point on the ground is measured to be 69^{\circ}
∘
. How tall is the tree if the point on the ground is 35 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
The tree is approximately 91.2 ft tall.
Step-by-step explanation:
Hi there!
We're told:
- angle of elevation = 69 degrees
- there is a point 35 feet from the tree
If we were to draw this out, it would appear to be a right angle triangle. See the picture below.
Now, to solve for the height of the tree, we can use the sine law:
\( \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) } \)
where a and b are two sides of a right triangle and A and B are the respective opposite angles
Let the height of the tree = h.
Side h is opposite of the angle measuring 69 degrees:
\( \frac{h}{ \sin {69}^{o} } \)
Let the angle opposite of the side measuring 35 feet = A.
\( \frac{35}{ \sin(a) } \)
Because the sum of a triangle's interior angles is 180 degrees, we know that A=180-90-69=21 degrees.
\( \frac{35}{ \sin {21}^{o} } \)
Use the sine law:
\( \frac{h}{ \sin {69}^{o} } = \frac{35}{ \sin {21}^{o} } \)
\(h = \frac{35}{ \sin {21}^{o} } \: \sin {69}^{o} \)
\(h = 91.17812\)
Therefore, the tree is approximately 91.2 ft tall.
I hope this helps!
The label on a \frac{1}{3}
3
1
-pound bag of seeds states that it will cover an area of 5656 square feet. How many square feet do the seeds cover per pound?
On the double number line below, fill in the given values, then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers.
To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2
Answers
Answer: The bag of seeds covers 5656 square feet and is 1/3 pound. To find how many square feet the seeds cover per pound, we can divide the total coverage by the weight of the bag.
Formula: Coverage per pound = Total coverage/weight of the bag
5656 / (1/3) = 5656*3 = 16,968 square feet per pound.
Step-by-step explanation:
Luna is buying food for a dinner party. Shrimp costs $8.50 a pound. She needs to spend less than $35 total. Write and solve an inequality to represent the situation. How many pounds of shrimp she can buy? Round to the nearest whole pound.
Answers
The inequality that represents the situation is 8.50x < 35 and the pounds of shrimp Luna can buy is 4.
What is inequality?Inequality is a statement that two or more mathematical expressions are unequal.
Inequalities are represented as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠).
The cost price of shrimp per pound = $8.50
The total spending budget = $35
Let the number of pounds of shrimp Luna can buy = x
Inequality:8.50x < 35
x = 4
Thus, the total amount Luna can spend on shrimp is $34 (4 x $8.50), which is less than $35.
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A gardener plants 250 sunflower seeds and 210 germinate. Find the probability that a sunflower seed will germinate.
Answers
Answer:
There is a 84% probability that the seed will germinate. (Poor plants)
Step-by-step explanation:
250 = 100%
210 = x
250x = 21000
x = 84
Find the simple intrest on$5,000 at 6% interest for 3.5 years
Answers
Answer:1,050
Step-by-step explanation:
Determine if segments AB and CD are parallel, perpendicular, or neither. AB formed by A(3,8) and B(-6,5) CD formed by C(-6,7) and D(-3,8)
Answers
Answer:
They are parallel
Step-by-step explanation:
(3,8)(-6,5): do sloe formula (y1-y2 over x2-x1)
AB: 1/3 slope (Full formula y=1/3x+7)
(-6,7)(-3,8) ---> 8-7 over -3-(-6) = 1/3
CD: 1/3 slope (Full formula y=1/3x +9)
They have the same slope so they are parallel
Tom has a certain number of marbles. He gave Bob 1/4of them. Bob gave 1/3 of his share to John. John then gave 1/2 of those to Kevin. Kevin is left with 5 marbles after giving 1/6 to Michael. How many marbles did Tom have? A. 72 B. 60 C. 136 D. 144
Answers
Using proportions, it is found that the number of marbles that Tom had is given by:
D. 144ProportionsInitially, Tom had x marbles.He gave Bob \(\frac{1}{4}\) of it, that is, \(\frac{1}{4}x\).Bob gave \(\frac{1}{3}\) of his share of \(\frac{1}{4}x\) to John, hence John's amount is \(\frac{1}{12}x\).Kevin receives half of John, hence Kevin's amount is \(\frac{1}{24}x\).After giving \(\frac{1}{6}\) of his amount to Michael, Kevin is left with 5 marbles, that is, \(\frac{5}{6}\) of his amount of \(\frac{1}{24}x\) is 5.Then:
\(\frac{5}{6}\left(\frac{1}{24}x\right) = 5\)
\(\frac{5}{144}x = 5\)
\(x = 144\)
Hence, option D is correct.
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A pet store supplier has a special on cube shaped fish tanks. Find the volume of 5 fish tanks with a side length of 2 feet. V = s3
Answers
Answer:
40ft^3
Step-by-step explanation:
Given data
Side length= 2 feet
The formula for the volume is
V= s^3
substitute
V= 2^3
V= 8ft^3
Hence the volume of the 5 tanks is
=8*5= 40ft^3
Two numbers multiply to be 20 and add to be 12. What are the numbers?
Answers
Answer:2 and 10
Step-by-step explanation:
_ questions can only be answered in your head
A- random
B- on-the-page
C-out-of-left-field
D- From-my-brain
Answers
Random questions can be solved in your head. option A
What is random questions?In common usage, randomness is the apparent or actual lack of pattern or predictability in information.
A random sequence of events, symbols or steps often has no order and does not follow an intelligible pattern or combination. Individual random events are, by definition, unpredictable, but if the probability distribution is known, the frequency of different outcomes over repeated events (or "trials") is predictable
A random question has no particular pattern therefore it can be asked any how.
Therefore, we can conclude that random questions can only be answered in your heard with any research.
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Given the function-f(x) = 9x + 5, find each of the following. f(8), f(-10), f(0)
Answers
Answer:
Step-by-step explanation:
is it
-f(x)=9x+5 or positive?
9(8)+5=72+5
f(8)=77
9(-10)+5=-90+5
f(-10)=-85
9(0)+5=5
f(0)=5
think of f(x) is y instead and whatever is in the parenthesis just plug into the equation for x
whats the answer to the ixl 8th grade multiplying monomials question Simplify. Express your answer using positive exponents. 8d times 8d
Answers
The correct result regarding the multiplication of the monomials 8d and 8d is given as follows:
64d².
How to multiply monomials?Monomials are composed both by numeric coefficients and by algebraic variables, hence, to multiply them:
The numeric coefficients are multiplied.The algebraic variables are also multiplied, applying properties of exponents.In the context of this problem, the monomials that are multiplied are given as follows:
8d x 8d.
Hence the multiplication is obtained as follows:
The multiplication of the numeric coefficients is of 8 x 8 = 64.The multiplication of the algebraic variables is of d x d = d².For the variables, we applied the multiplication of two terms with the same base and different exponents, keeping the bases and adding the exponents.
Then the product is given as follows:
8d x 8d = 64d².
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The given equation has been solved in the table.
Answers
Answer:
D. the subtraction property of equality was not applied.
Step-by-step explanation:
Step 1: Listed the statement
Step 2: applied the addition property of equality
Step 3: Simplified
Step 4: Applied the multiplication property of equality
Step 5: Simplified
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The graph shows percentages of sales made by various divisions of a company in one year. What are the angles formed by the segments for each division? What are the missing percentages? Explain how you were able to determine each percentage.
Answers
Answer:
Division C = 9%
Division E = 10%
Step-by-step explanation:
From the pie chart attached,
Let the missing percentage of division C and E are c% and e% respectively.
Since, division B + division C + division D = 50%
[Divisions on one half of the circle]
23% + c% + 18% = 50%
41% + c% = 50%
c = 50 - 41
c = 9%
Similarly, division A + division F + division E = 50%
27 + 13 + e = 50
40 + e = 50
e = 10%
write 3 equivalent rational number of 5/3
Answers
Step-by-step explanation:
\( \frac{10}{6} \\ \frac{15}{9} \\ \frac{20}{12} \)
What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box.
Answers
Answer:
beleive its 35
Step-by-step explanation:
Answer:
The mode hear is 32
Step-by-step explanation:
The mode is the number seen the most in a selected group.
Here is a Mnemonic to help remember what the 3 M's are:
'Hey diddle, diddle
the medians in the middle
add and divide for the mean
the mode is the one that you see the most
and the range is the difference between'