The probability that the team will have exactly 8 turnovers during a game is approximately 0.035 or 3.5%.
Given that the number of turnovers per game follows the Poisson distribution and the team averaged 18 turnovers per game, we can use the Poisson distribution formula to find the probability of the team having exactly 8 turnovers during a game.
The Poisson distribution formula is: P(X = x) = (e^-λ * λ^x) / x!, where λ is the average number of turnovers per game and x is the number of turnovers we want to find the probability for.
a. Using the given information, we have: λ = 18 and x = 8.
Plugging these values into the formula, we get:
P(X = 8) = (e^-18 * 18^8) / 8!
Using a calculator, we can simplify this to:
P(X = 8) ≈ 0.035
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Solve for k : (5k - 2 )/ 3k =7
Answer:
-⅛
Step-by-step explanation:
(5k - 2) / 3k = 7
5k - 2 = 21k
-2 = 21k - 5k
16k = -2
k = -⅛
Answer:
-1/8
Step-by-step explanation:
simply criss cross and simplify and get the answer -1/8
When multiplying exponential terms with the same base, which best explains how to simplify the expression?
A.Add the exponents.
C.Subtract the exponents.
B.Multiply the exponents
D.Divide the exponents.
Answer: A
Step-by-step explanation:
Answer:
A. Add the exponents.
Step-by-step explanation:
The rule for same base multiplication is:
\( a^m \times a^n = a^{m + n} \)
Add the exponents.
Answer: A. Add the exponents.
john has walked 15% of the way home from school. if he has walked 54 yards so far, how far does he walk home from school
Answer: John walks a total of 360 yards from school.
Step-by-step explanation:
Let's represent the total distance John walks from school as "x".
According to the problem, John has already walked 15% of the way, which can be written as:
0.15x
We also know that he has walked 54 yards so far, which means:
0.15x = 54
To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:
x = 54 ÷ 0.15
x = 360
Therefore, John walks a total of 360 yards from school.
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(0.2)⋅60 Express in decimal form
The number (0.2) . 60 in decimal form using scientific notation is 12 = 1.2 x \(10^1\).
Given number: (0.2) . 60
Now, first multiply the decimal and the number as
0.2 x 60
= 2 / 10 x 60
= 2 x 6
= 12
Now, write 12 in decimal use scientific notation which written in the form of coefficient and raised to power of 10.
So, 12 = 1.2 x \(10^1\)
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Ella is going to invest $18,000 and leave it in an account for 8 years. Assuming til
interest is compounded continuously, what interest rate, to the nearest hundredth of
a percent, would be required in order for Ella to end up with $22,000?
Answer:
90
Step-by-step explanation:
Answer:2.51
Step-by-step explanation:
Find the value of x.
Answer:
x=6
look at the picture i sent please
In a group of 17 pupils, 2 play the flute only. 11 play the piano only. 1 plays neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answer:
6
Step-by-step explanation:
idk
How does the square root function differ from the cube root function?
The square root function contains a variable under the square root sign. The cube root function contains a variable under the cube root sign.
What is a function?
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between varying quantities and other variables.
A variable under the square root sign is present in a square root function, and a variable under the cube root sign is present in a cube root function.
Zero has a square root of zero, and one has a square root of one. Keep in mind that the graph only contains points where x and y are positive. For instance, using the imaginary number i is necessary when taking the square root of a negative number.
The square root function is f(x) = √x
For positive values, the graph resembles the square root graph, but cube roots can also be negative, making this equation infinite for all real numbers. Recall that a negative number will result from being multiplied an odd number of times.
The cube root function is f(x) = ³√x
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xy+x=2y-3 solve for y
Answer:
x=6
Step-by-step explanation:
If a tourist paid Rs. 5610 for a carved window made of wood with a discount of 15% including 10% value added tax, how much does he get back while leaving Nepal? Find it.
Answer:
3/2
Step-by-step explanation:
15% × 10( use p%)
15/100 × 10 (simplify the expression)
15/10 (reduce the expression)
3/2(Solution)
Is cell replication the same thing as DNA replication? Or are they two separate things
Answer:
Conservative. Replication produces one helix made entirely of old DNA and one helix made entirely of new DNA.
Semi-conservative. Replication produces two helices that contain one old and one new DNA strand.
Dispersive.
Step-by-step explanation:
Replication is the process by which a double-stranded DNA molecule is copied to produce two identical DNA molecules. DNA replication is one of the most basic processes that occurs within a cell.
Please help I will make you Brainliest if correct (you don't have to do number two if you don't want to)
Answer:
120?
Step-by-step explanation:
Might be incorrect. -_-
Answer: question 1, all you had to do was divide the shpaes up by simply finding the missing numbers and separating the two shapes.
The rectangle has a area of 96
The square has a area of 16. if we add this up we get a area of 112
so the area is 112cm^2
Happy To Help :)
Question 2. 8 x 2 is 16
2 x 10 is 20.. add that up we get 36m
In which of the following situations would finding the surface area of an object be the most applicable?
Hi, you've asked an incomplete question. However, I provided a brief explanation about surface areas.
Explanation:
Surface area is a term commonly used in mathematics, and other branches of science, and it basically refers to a calculation of the total space that an object occupies.
For example, you can find the surface areas of a cuboid using the formula:
\(6s^{2}\) where s= side length.
NEED ANSWERS NOW PLEASE!!!
Answer:
YW= 36.4
ZX= 18.2
VX= 36.4
Step-by-step explanation:
See attached picture
Hope this helps!
Luke's water bottle holds 2,150 milliliters. He drinks 3.5 bottles of water each day. How many milliliters of water does he drink each day?
Answer:
7525 milliliters
Step-by-step explanation:
because if you multiply 2150 by 3.5 you will get that number
describe the type of correlation between two variables on a graph
Answer:
We often see patterns or relationships in scatterplots. When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.
Step-by-step explanation:
plz mark as brainlist
The correlation between two variables on a graph gives the relationship between those variables. Depending on the nature of these variables plotted on the graphs, the correlation is named.
What is meant by correlation?In a scatterplot, the data points of an individual with two distinct variables are related. This relationship is called 'correlation'. The relationship between any two variables plotted on any graph is named to be a correlation.Depending on the type of relation between the variables, the correlation is categorized into three major types. They are
i) Positively correlation
ii) Negative correlation
iii) No correlation
What is meant by positively correlated?The variables plotted on a graph are said to be positively correlated, if both the variables increase with respect to each other.E.g.: In a graph, if the values of y increase as the value of x increases, then they are said to be positively correlated.What is meant by negatively correlated?The variables plotted on a graph are said to be negatively correlated, if one of the variables increases, the other variable get decreases.E.g.: In a graph if the values of y decrease as the value of x increases, then they are said to be negatively correlated.What is meant by no correlation?The data points for the two variables are plotted randomly on the graph. If there is no relation between any two points of those two variables, then such a relation is said to be 'no correlation'.E.g.: In a graph, if the values of x and y are randomly located, then there is no correlation between them.Learn more about correlation on a graph here:
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Stefan sells Jin a bicycle for $127 and a helmet for $17.The total cost for Jin is 120% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally?How much money did he make by selling the bicycle and helmet to Jin?
Answer:
Stefan spent $120 originally
He made $24 dollars by selling the bicycle and helmet to Jin
Step-by-step explanation:
First, find the total cost:
127 + 17
= 144
To find the original cost, divide this by 1.2
144/1.2
= 120
So, Stefan spent $120 originally.
Now, find how much he made by subtracting 120 from 144:
144 - 120
= 24
So, he made $24 dollars by selling the bicycle and helmet to Jin.
Write an equation to match this graph.
Answer:
y = x + 7
Step-by-step explanation:
Pick 2 points on the line to calculate the slope, m: (3, 10) and (5, 12)
m = Δy/Δx = (12 - 10) / (5 - 3) = 2/2 = 1
Use the point-slope equation and the point (3, 10): (y - y1) = m(x - x1)
(y - 10) = 1(x - 3)
y - 10 = x - 3
y = x - 3 + 10
y = x + 7
Using intervals of width 10, how many intervals are needed for this graph to be drawn correctly? 5 or fewer between 6 and 10 between 11 and 19 25 or more.
The graph takes 299 units width and intervals are of width 10, thus we can do division.
The number of intervals of width 10 needed to draw the given graph is specified by:
Option D: 25 or more.
Given that:The graph extends from 0 to 299 units.To find:Number of intervals with width 10 units needed to draw this graph correctly.
Finding the range(the width graph uses) of values lying in graph:Range = Maximum value - minimum value = 299 - 0 = 299
If the width of intervals used is 10, then
\(\text{Number of intervals needed } \geq \dfrac{Total width}{width of interval} = \dfrac{299}{10} = 29.9\\\text{Number of intervals needed} = 30\)
We took greater or equal since we don't want to leave some points of the graph out, thus we ensure taking enough amount of intervals so as to cover the whole graph even if some space is remain unused in intervals.
Thus, Option D: 25 or more is correct option as 30 is more than 25.
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Answer:
Option D: 25 or more
Step-by-step explanation:
Your friend has s pennies. You have 11 pennies. You and your friend have a total big 23 pennies. Which equation can you use to find s?
A.) s + 11 = 23
B.) 11s = 23
C.) s - 11 = 23
D.) s divided by 11 = 23
If correct I will mark brainlist ❤️
Answer:
A.
Step-by-step explanation:
The answer would be a because if you have s + 11 you will get 23
but if you were to find s it would be 12
Kerrie place 6 red jelly beans, 5 blue jelly beans, 4 green jelly beans, and 5 black jelly beans in a jar. All jelly beans were the same shape and size. If Kerrie chooses 1 jelly bean at a random from the jar, what is the probability that she will choose a red jelly bean?
Answer:
Step-by-step explanation:
A jar of 150 jelly beans contains 22 red jelly beans, 38
yellow, 20 green, 28 purple, 26 blue, and the rest are orange.
Let B = the event of getting a blue jelly bean
Let G = the event of getting a green jelly bean.
Let O = the event of getting an orange jelly bean.
Let P = the event of getting a purple jelly bean.
Let R = the event of getting a red jelly bean.
Let Y = the event of getting a yellow jelly bean.
Find P(P).
Answer:
6 out of 20 chance
Or you can write it like this 6/20 or 6:20
Step-by-step explanation:
we add all of the jelly beans together to see how many are in the jar
6+5+4+5
20
Since there are 6 red jelly beans it is a 6 out 20 chance
Hopes this helps please mark brainliest
What is the probability of rolling a 3 on a 6-sided 8)
number cube and then NOT rolling a 3 on a 6-
sided number cube?
Answer:
the chances of rolling a 3 are 1/6
the changes of not doing it is 5/6
A cylinder has a height of 15 inches. A similar cylinder has a height of 20 inches.
What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
The surface area of a cylinder can be calculated using the formula:
Surface area = 2πr² + 2πrh
where r is the radius of the base and h is the height of the cylinder.
Let's assume that the radius of the base of the smaller cylinder is r, then the radius of the base of the larger cylinder is 4/3 r, since the height is increased by 5 inches or 1/3 of the original height.
So, the surface area of the smaller cylinder is:
Surface area = 2πr² + 2πrh
And the surface area of the larger cylinder is:
Surface area = 2π(4/3 r)² + 2π(4/3 r)(15)
Simplifying these expressions, we get:
Surface area of smaller cylinder = 2πr² + 30πr
Surface area of larger cylinder = 2π(16/9 r²) + 40πr
Now we can find the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder:
Ratio = Surface area of larger cylinder / Surface area of smaller cylinder
= (2π(16/9 r²) + 40πr) / (2πr² + 30πr)
Simplifying this expression, we get:
Ratio = (32/9 r + 40) / (2r + 30)
= (32/9 r + 40) / 2(r + 15)
Since the cylinders are similar, the ratio of their surface areas is proportional to the square of the ratio of their heights:
Ratio = (20/15)²
= 1.7778
So the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is approximately 1.7778, or 1.78 to two decimal places.
Answer:
16:9
Step-by-step explanation:
I took the test
Evaluate 9n - 15 for n = 5.
Group of answer choices
Answer: 30
Step-by-step explanation: 9 x 45 - 15
= 30
:)
x:(x+3) = 2:3
work out the value of x
Answer:
x = 6
Step-by-step explanation:
x:(x + 3) = 2:3
\( \frac{ \\ x}{x + 3} = \frac{2}{3} \)
cross multiply
3x = 2(x + 3)
3x = 2x + 6
subtract (2x) from both sides
3x – 2x = 2x – 2x + 6
x = +6
x = 6
A model of carry-on luggage has a length that is inches greater than its depth. Airline regulations require that the sum of the length, width, and depth cannot exceed inches. These conditions, with the assumption that this sum is inches, can be modeled by the function V(x) that gives the luggage's volume, in cubic inches, in terms of its depth, x, in inches. If its volume is cubic inches, determine two possibilities for its depth.
V(x)
x
[(xx)]
V(x)
The two possibilities for the depth of the luggage are: depth = inches / 2
or depth = 0 (but this solution does not make sense)
The sum of the length, width, and depth of the luggage cannot exceed a certain value, so we can write:
\(length + width + depth < = limit\)
We also know that the length is inches greater than the depth, so we can write:
length = depth + inches
We want to find the volume of the luggage, which is given by:
\(volume = length * width * depth\)
Substituting the expression for length in terms of depth, we get:
volume = (depth + inches) * width * depth
To eliminate the width, we can use the fact that the volume is a fixed value, so we can write:
width = volume / (depth + inches) / depth
Substituting this expression for width, we get:
volume = (depth + inches) * (volume / (depth + inches) / depth) * depth
Simplifying this expression, we get:
volume =\(volume * depth / (depth + inches)\)
Multiplying both sides by (depth + inches), we get:
volume * (depth + inches) = volume * depth
Expanding the left side, we get:
volume * depth + volume * inches = volume * depth
Subtracting volume * depth from both sides, we get:
volume * inches = -volume * depth
Dividing both sides by volume, we get:
inches = -depth
Since depth cannot be negative, we have:
depth = 0
This solution does not make sense, so we need to consider the other possibility:
depth + inches = -depth
Solving for depth, we get:
depth = -inches / 2
Since the depth cannot be negative, we have:
depth = inches / 2
Therefore, two possibilities for the depth of the luggage are:
depth = inches / 2
or
depth = 0 (but this solution does not make sense)
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Question 3 The point W(-13,9) was transformed to W'(-9, -13) by a rotation around the origin. Which of the following best describes this rotation? Answer 90° counterclockwise 270° counterclockwise 90° clockwise
The initial position of the point W (-13, 9)
The transformed position of the point W' (-9, -13)
when transformed 90 degrees counterclockwise, the coordinates of the original position is swapped and the y-coordinate is negated
That is if the W coordinate is (x,y), the transformation W coordinate in 90 degrees counter-clockwise will be (-y, -x )
Since W is (-13, 9)
Then W' will be ( -9 , -13)...In 90 degrees counterclockwise
Wing
Find the area of the
parallelogram:
3 cm
5 cm
4.5 cm
A= [?] cm
Answer:
13.5 cm^2Given,
Base(b)= 4.5 cm
Height(h)= 3 cm
Now,
Area of parallelogram= base * height
= 4.5 * 3
=13.5 cm^2
Hope this helps...
Good luck on your assignment...
Answer:
\(\boxed{\red{13.5 {cm}^{2} }}\)
Step-by-step explanation:
\(\blue{area \: \: of \: \: a \: \: parallelogram} \\ \pink{= base \times height} \\ \green{= 4.5cm \times 3cm} \\ \purple{= 13.5 {cm}^{2} }\)
A wooden frame is in the shape of a parallelogram PQRS. The carpenter joins the diagonals of the frame with thin metallic rods, as shown, to make the structure stable
The length of the metallic rod be 34 feet.
What is meant by parallelogram?The two sets of opposite sides of a parallelogram are parallel and equal. It is an unique kind of quadrilateral. There are two opposite sides of every parallelogram that are parallel and of equal length.
A quadrilateral whose four corners are all right angles is called a rectangle. A rectangle has equal lengths on its opposite sides since it is a parallelogram. An equal-length rectangle has two diagonals that cross in the middle.
As diagonal of parallelogram bisect each other so, 2y - 1 = 9.
⇒ y = 10/2 =5
Let \($d_1$\) be the length of diagonal 1
substitute the value of y in the above equation, we get
= 2y - 1 + 9 = 2 (5) - 1 + 9 = 18
Where \($d_2$\) be the length of diagonal 2
= ( y + 3) 2 = (5 + 3)2 = 16
length of metallic rod \($=d_1+d_2$\)
= 16 + 18 = 34 feet
Therefore, the length of the metallic rod be 34 feet.
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SOMEONE HELP ME W THIS LOL
Find the value of CE when AE = 14, DE = 7 and BE = 6. Round the answer to the nearest hundredth.
Using the Law of Cosines, we can find the value of CE when given the lengths of AE, DE, and BE. Specifically, we can use the equation:
CE^2 = AE^2 + BE^2 - 2(AE)(BE)cos(C), where C is the angle between AE and BE. To solve for CE, we first need to find the value of cos(C).
To do this, we can use the Law of Cosines again, but this time to find the measure of angle C. Using the equation:
DE^2 = AE^2 + BE^2 - 2(AE)(BE)cos(C)
we can solve for cos(C) as:
cos(C) = (AE^2 + BE^2 - DE^2) / (2(AE)(BE))
Substituting the given values, we get:
cos(C) = (14^2 + 6^2 - 7^2) / (2(14)(6)) = 85 / 168 ≈ 0.506
Now that we have found the value of cos(C), we can substitute it back into the original equation to solve for CE:
CE^2 = 14^2 + 6^2 - 2(14)(6)(0.506) ≈ 124.84
Taking the square root, we get:
CE ≈ 11.17
Therefore, the value of CE is approximately 11.17 when AE = 14, DE = 7, and BE = 6.
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