Using the binomial distribution, it is found that you would expect 160 players in the league to attend camp.
For each player, there are only two possible outcomes, either they attend camp, or they do not. The probability of a player attending camp is independent of any other player, hence, the binomial distribution is used to solve this question.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.The expected value of the binomial distribution is:\(E(X) = np\)
In this problem:
10 out of 50 players said they would attend camp, hence \(p = \frac{10}{50} = 0.2\).There are 800 players in the entire league, hence \(n = 800\).Then, the expected number is:
\(E(X) = np = 800(0.2) = 160\)
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A student finds the slope of the line between (14, 1) and (18, 17). She writes . What mistake did she make? She mixed up the x- and y-values. She used y-values where she should have used x-values. She did not keep the order of the points the same in the numerator and the denominator. She should have added the values, not subtracted them.
Answer:
She did not keep the order of the points the same in the numerator and the denominator.
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer and Step-by-step explanation:
Mandy travels more miles.
We determine this by multiplying the distance from home by the number of trips.
For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.
For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.
Many travels 2 more miles in total than Matt.
#teamtrees #PAW (Plant And Water)
Answer:
mandy
Step-by-step explanation:
so mandy has 10 miles and 9 trips to school matt has 8 miles and 11 trips to school so mandy is 10x9=90
and matt is 11x8=88
mandy=90
matt=88
I need another answer asap! Please and thank you if you answer this and you will get 15 points! So what is the answer to this question? Dax is buying coffee for 5
people in his office. He also leaves a $2.00
tip for the barista.
If his total, with tip, is $18.25,
how much is each cup of coffee, not including the tip?
Enter your answer as a decimal, like this: 42.53
Answer:
3.25
Step-by-step explanation:
total 18.25 - 2.00 tip = 16.25
16.25/5=3.25
What is a rhombus Class 6?
Answer:
Answer Below
Step-by-step explanation:
A rhombus is a quadrilateral with 2 diagonals.
Someone help me with this question please I am confused
Answer:
x = 4, BC = 17
Step-by-step explanation:
AC = AB + BC , substitute values
7x - 3 = 2x + 3x + 5
7x - 3 = 5x + 5 ( subtract 5x from both sides )
2x - 3 = 5 ( add 3 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Then
BC = 3x + 5 = 3(4) + 5 = 12 + 5 = 17
PLEASE HELP QUICK ILL MARK BRAINLIEST
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Samantha is hiking through a national park. The graph shows the relationship between the distance she covers (in miles) and the time she spends hiking (in hours).
When Samantha has hiked for 1 1/2 hours, she has covered _
miles.
Write an equation parallel to y= -5/2x + 9 that passes through the point (-6,7) brainly
Answer:
Step-by-step explanation:
If two lines are parallel, that means their slopes are equal.
And we also know that the line must pass through (-6,7)
And with our point-slope equation, we get the equation:
\(y-7 = -\frac{5}{2} (x+6)\)
\(y - 7 = -\frac{5}{2} x-15\\y= -\frac{5}{2} x-8\)<------ Answer
Hope that helps!
Answer:
\(y=-\frac{5}{2}x-8\)
Step-by-step explanation:
Parallel lines have the same slope therefore...
\(y=-\frac{5}{2}x+b\)
Then, substitute the given points into the equation to solve for b (y-intercept):
\(7=-\frac{5}{2}(-6)+b\\7=\frac{30}{2}+b\\7=15+b\\\text{Subtract 15 from both sides}\\b=-8\)
Therefore the equation is:
\(y=-\frac{5}{2}x-8\)
16.2 is 13% of what? Rounded to the nearest tenth place
Answer:
124.6
Explanation:
Let the number be x.
Thus, we have that: 13% of x =16.2
\(\frac{13}{100}x=16.2\)Next, solve for x by cross-multiplying.
\(\begin{gathered} 13x=16.2\times100 \\ 13x=1620 \end{gathered}\)Divide both sides by 13.
\(\begin{gathered} \frac{13x}{13}=\frac{1620}{13} \\ x=124\frac{8}{13} \\ x\approx124.6\text{ (to the nearest tenth)} \end{gathered}\)Thus, 16.2 is 13% of 124.6 (rounded to the nearest tenth).
I need help with this practice problem. *Make sure to answer (a) and (b), as they are questions included in the problem*
The answers to both the subparts using the binomial theorem are shown:
(A) Summation notations: = e⁴₀(3x⁵)⁴(-1/9y³)⁰ + e⁴₁(3x⁵)³(-1/9y³)¹ + e⁴₂(3x⁵)²(-1/9³)² + e⁴₃(3x⁵)(-1/9y³)³ + e⁴₄(3x⁵)⁰(-1/9y³)⁴(B) Simplified terms of the expansion: (3x⁵ - 1/9y³)⁴ = 81x²⁰ - 12x¹⁵y³ + 2/3x¹⁰+y⁶ -4/243x⁵y⁹ + 1/2187y¹²What is the binomial theorem?An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.Or in simpler terms, the nth power of the sum of two numbers a and b can be represented as the sum of n + 1 terms of the form, according to the binomial theorem, which states that for any positive integer n.Probability:
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics describes the examination of events subject to probability.(A) Summation notations:
(3x⁵ - 1/9y³)⁴= e⁴₀(3x⁵)⁴(-1/9y³)⁰ + e⁴₁(3x⁵)³(-1/9y³)¹ + e⁴₂(3x⁵)²(-1/9³)² + e⁴₃(3x⁵)(-1/9y³)³ + e⁴₄(3x⁵)⁰(-1/9y³)⁴(B) Simplified terms of the expansion:
(3x⁵ - 1/9y³)⁴ = 81x²⁰ - 12x¹⁵y³ + 2/3x¹⁰+y⁶ -4/243x⁵y⁹ + 1/2187y¹²Therefore, the answers to both the subparts using the binomial theorem are shown:
(A) Summation notations: = e⁴₀(3x⁵)⁴(-1/9y³)⁰ + e⁴₁(3x⁵)³(-1/9y³)¹ + e⁴₂(3x⁵)²(-1/9³)² + e⁴₃(3x⁵)(-1/9y³)³ + e⁴₄(3x⁵)⁰(-1/9y³)⁴(B) Simplified terms of the expansion: (3x⁵ - 1/9y³)⁴ = 81x²⁰ - 12x¹⁵y³ + 2/3x¹⁰+y⁶ -4/243x⁵y⁹ + 1/2187y¹²To learn more about binomial theorem visit:
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A fraction number is not changed when it is divided by ________ numbers.
Answer:
MIXED NUMBER
Step-by-step explanation:
A fraction number is not changed when it is divided by _mixed_ numbers.
use the dual simplex method to find a solution to the linear programming problem formed by adding the constraint 3xi 5x3> 15 to the problem in example 2.
Using the dual simplex method to find a solution to the linear programming problem formed by adding the constraint 3xi 5x3> 15 to the problem. The final solution is:
xi = 20
x2 = 0
x3 = 15
x4 = 0
x5 = 40
Adding the constraint 3xi + 5x3 > 15 does not affect the optimal solution, as none of the variables involved in the new constraint are in the basis. Therefore, the final solution remains the same.
To use the dual simplex method to find a solution to the linear programming problem formed by adding the constraint 3xi + 5x3 > 15 to the problem in example 2, we need to follow these steps:
1. Rewrite the problem in standard form by adding slack variables:
Maximize 4xi + 3x2 + 5x3
Subject to:
2xi + 3x2 + 4x3 + x4 = 60
3xi + 2x2 + x3 + x5 = 40
xi, x2, x3, x4, x5 >= 0
2. Calculate the initial feasible solution by setting all slack variables to 0:
xi = 0
x2 = 0
x3 = 0
x4 = 60
x5 = 40
3. Calculate the reduced costs of the variables:
c1 = 4 - 2/3x4 - 3/2x5
c2 = 3
c3 = 5 - 2/3x4 - 1/2x5
c4 = -2/3x1 - 1/2x2
c5 = -3/2x1 - 1/2x2
4. Choose the entering variable with the most negative reduced cost. In this case, it is x1.
5. Calculate the minimum ratio test for each constraint to determine the leaving variable:
For the first constraint: x4/2 = 30, x1/2 = 0, so x4 is the leaving variable.
For the second constraint: x5/3 = 40/3, x1/3 = 0, so x5 is the leaving variable.
6. Update the solution by performing the pivot operation:
- Pivot on x1 and x4 in the first constraint: x1 = 20, x4 = 0, x2 = 0, x3 = 15, x5 = 40/3
- Pivot on x1 and x5 in the second constraint: x1 = 0, x4 = 0, x2 = 0, x3 = 15, x5 = 40
7. Repeat steps 3-6 until all reduced costs are non-negative or all minimum ratio tests are negative.
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i need an answer quicklyy
Answer:
by Translation.
Using the photo it is (5/-8)
Emmy took a math quiz lat week. There were 75 problem on the quiz and Emmy anwered 60% of them correctly. How many problem did Emmy get correct?
Emmy answered average of 60 out of 75 math problems correctly on the quiz she took last week, meaning she answered a total of 60 problems correctly.
60/75 = 0.8
0.8 x 75 = 60
Emmy took a math quiz last week and answered 60% of the 75 problems correctly. To calculate how many problems Emmy got correct, we need to divide 60 by 75, which gives us 0.8. Then, we multiply 0.8 by 75, which gives us 60. This means that Emmy correctly answered 60 out of 75 math problems on the quiz. This is equivalent to 60%, which is the percentage of problems she got correct. It is important to note that if Emmy had answered any more or any less problems correctly, the percentage of correct answers would have been different. Therefore, it is important to understand the relationship between percentages and total number of problems answered correctly in order to accurately calculate the number of correct answers.
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If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
1:2
2:4
4:8
8:16
16:32
Help, please
A: 2
B: -2
C: 1/2
D:-1/2
Answer:
\(\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta\)
Step-by-step explanation:
7x - 4 = 24
show your work
9/5 - (-6/10)
Khan academy needs either exact fraction or exact decimal
Answer:
Exact fraction: 6/5
Exact Decimal: 1.2
Answer:
12/5 = 2.4
Step-by-step explanation:
The fraction 6/10 can be reduced to simplify the addition.
9/5 -(-6/10) = 9/5 +6/10 = 9/5 +3/5
= 12/5 = 2.4
__
The two minus signs "cancel." The product of any set of numbers with an even number of minus signs will be positive.
The ultimate purpose of constructing a standard curve is to... use it to calculate the concentration of a substance in solution use it to prove Lambert Beers Law use it to calculate unknown dependent variable values from known independent variable values none of the above
The ultimate purpose of constructing a standard curve is to use it to calculate the concentration of a substance in solution.
What is a standard curve?
A standard curve is a graphical representation of a mathematical function that relates the concentration of a solution to the amount of light that passes through it. The majority of standard curves have a linear relationship between the dependent and independent variables. These curves are particularly useful for chemical tests that require the use of an instrument, such as a spectrophotometer.
A standard curve is created by generating a series of known concentrations of a specific compound in a solution. The absorption values are measured, and the data are then plotted on a graph. The resulting data points can then be utilized to create a standard curve, which can be used to identify the concentration of unknown samples.
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Need 6 and 7 done please and thank you
Answer:
black
black
Step-by-step explanation:
Which choices are equivalent to the exponential expression below?
Answer:
A b and c
Step-by-step explanation:
This is the correct answer trust me
Answer:
A, B, F
Step-by-step explanation:
Simplify. Express your answer using positive exponents.
4r7
(4r)(r3)
The simplified expression with positive exponents for the given expression is 16r^11.
To simplify and express the answer using positive exponents, we can use the product rule of exponents which states that when multiplying two terms with the same base, we add their exponents.
Using this rule, we can simplify 4r^7 as:
4r^7 = 4 * r * r^6
Similarly, we can simplify (4r)(r^3) as:
(4r)(r^3) = 4 * r * r^3
Now we can multiply these two simplified terms:
4r^7 * (4r)(r^3) = (4 * r * r^6) * (4 * r * r^3)
= 16 * r^(6+1) * r^(1+3)
= 16 * r^7 * r^4
= 16r^(7+4)
= 16r^11
Therefore, the simplified expression with positive exponents for the given expression is 16r^11.
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Two number cubes are rolled. Each number cube is labeled 1 through 6.
What is the probability that both number cubes will land on 1?
Step-by-step explanation:
Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.
Determine the vertex, the axis of symmetry, the focus, the directrix, and the direction in which the parabola opens, and graph. -(x-2)²=3(y+1)
Answer:
To determine the vertex, axis of symmetry, focus, directrix, and direction of the parabola defined by the equation -(x-2)²=3(y+1),
Step-by-step explanation:
we can rewrite the equation in standard form, which is of the form (x-h)² = 4p(y-k).
Comparing the given equation to the standard form, we can see that h = 2 and k = -1. Therefore, the vertex of the parabola is (2, -1).
The axis of symmetry is a vertical line passing through the vertex. So the equation of the axis of symmetry is x = 2.
To find the value of p, we can compare the coefficient of y in the standard form equation. In this case, 4p = 3, so p = 3/4. Since p is positive, the parabola opens upward.
The distance from the vertex to the focus is p. Therefore, the focus of the parabola is (2, -1 + 3/4) = (2, -1/4).
The distance from the vertex to the directrix is also p. Since the parabola opens upward, the directrix will be a horizontal line located p units below the vertex. So the directrix is the line y = -1 - 3/4 = -5/4.
Let's graph the parabola and mark the vertex, focus, and directrix:
Graph
The blue curve represents the graph of -(x-2)²=3(y+1).
The red point represents the vertex at (2, -1).
The green point represents the focus at (2, -1/4).
The black line represents the directrix at y = -5/4.
This is a basic outline of the parabola.
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Shad Yarbrough wants to consider the cost per use of a high-end desk top computer he is considering for his web site business. The computer costs $1,750 and has a life expectancy of four years. If Shad feels he would use the computer three days a week, on average, what is Shad's cost per use?
Answer:
Shad's cost per use will be $ 2.80.
Step-by-step explanation:
Since Shad Yarbrough wants to consider the cost per use of a high-end desk top computer he is considering for his web site business, and the computer costs $ 1,750 and has a life expectancy of four years, if Shad feels he would use the computer three days a week, on average, to determine what is Shad's cost per use, the following calculation must be performed:
Weeks per year = 52
52 x 4 = 208
208 x 3 = 624
1750/624 = X
2.80 = X
Thus, Shad's cost per use will be $ 2.80.
find the constant of proportionality (r) in the equation y=rx
Answer:
5
Step-by-step explanation:
The constant of proportionality (r) in the equation y=rx is 3
How to determine the constant of proportionality?The equation of the function is given as:
y = rx
Make r the subject
r = y/x
From the table, we have:
y = 36 when x = 12
So, the equation becomes
r = 36/12
Divide
r = 3
Hence, the constant of proportionality (r) in the equation y=rx is 3
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A tennis match was delayed because of rain did officials were not prepared for the delay they cover the 25ft by 20ft court with 13ft by 10ft plastic covers how many plastic covers were needed to cover the cord from the rain
Answer:
4
Step-by-step explanation:
The 25ft by 20ft court needs to be covered.
First consider half of the court, meaning 25ft by 10ft.
To cover 25ft by 10ft you can easily place two 13ft by 10ft covers next to each other = 26 ft by 10ft
There is a 1ft overlap, but that seems reasonably acceptable.
If you do the same for the other half, then you will have covered the entire court from the rain.
So in total you need 4 plastic 13ft by 10ft covers, to cover the 25ft by 20ft cord from the rain.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court
Data;
dimension of court = 25ft by 20ftdimension of cover = 13ft by 10 ftArea of a RectangleAssuming the court is a rectangle from its given dimensions, we can proceed by dividing the dimension of the court by the dimension of the cover
\(25ft by 20 ft / 13ft by 10 ft = 2\)
This would give us a value approximately 2.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court.
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At what offered traffic did the maximum percentage of the channel bandwidth peak for pure ALOHA? (A) about half (B) about 18% (C) one attempt each slot (D) two attempts each slot (E) one attempt every 2 slots
The maximum percentage of the channel bandwidth peak for pure ALOHA occurs at (E) one attempt every 2 slots.
What is ALOHA?
ALOHA is a computer networking term that refers to a random access protocol for wireless networks. It was created in the 1970s at the University of Hawaii. It is a protocol for transmitting packets on a shared communication channel that does not have collision detection. Each packet is transmitted with the hope of successfully reaching the destination without being obstructed by another packet or station in the network.
What is Pure ALOHA?
Pure ALOHA is a type of ALOHA protocol that is unslotted. A station may send frames at any time, and collisions are resolved by detecting them. Pure ALOHA has a maximum throughput of 18%.
When it comes to the question, the maximum percentage of the channel bandwidth peak for pure ALOHA occurs at (E) one attempt every 2 slots.
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What is the value of the expression below when x=10x=10 and y=4y=4?
8x-7y
8x−7y
Answer:
Step-by-step explanation:
8(10) - 7(4)
8X10 - 7X4
80 - 28
52
I need help solving all the questions.
1. Rakesha claims that the equation f(n) 5 5n 2 7 is the function notation for the sequence that is
represented by the explicit formula an 5 22 1 5(n 2 1). James doesn’t understand how this can be
the case.
a. Help James by listing the steps to write the explicit formula of the given sequence in function
notation. Provide a rationale for each step.
b. Graph the function. Label the fi rst 5 values of the sequence on the graph.
2. Determine whether each table of values represents a linear function. For those that represent
linear functions, write the function. For those that do not, explain why not.
How many sides does a regular polygon have when each side is 30 degrees
The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.
Let us consider 'n' be the number of sides of the regular polygon.
Let 'y' be the measure of each of the exterior angle of regular polygon.
y = 30 degrees
Measure of each of the exterior angle of regular polygon 'y'
= ( 360° ) / n
⇒ n = ( 360° / y )
Substitute the value we get,
⇒ n = ( 360° / 30° )
⇒ n = 12
Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.
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The above question is incomplete, the complete question is:
How many sides does a regular polygon have when each exterior angle measures 30 degrees?