Answer:
Total number of orders = 77,520
Step-by-step explanation:
Given:
Number of students on team = 20
Number of students on the starting line =9
Find:
Total number of orders
Computation:
Total number of orders = 20! / [20 - 7]!(7!)
Total number of orders = 20! / [13]!(7!)
Total number of orders = [20 x 19 x 18 x 17 x 16 x 15 x 14] / [7 x 6 x 5 x 4 x 3 x 2 x 1]
Total number of orders = 77,520
The number of different ways that the list can be written will be 167,960.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A coach writes the batting order of his starting 9 out of the team of 20 on a piece of paper.
The number of different ways that the list can be written will be
²⁰C₉ = 20! / [(20 - 9)! x 9!]
²⁰C₉ = 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
²⁰C₉ = 167,960
The number of different ways that the list can be written will be 167,960.
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24-9•2+6÷3 pls help I'm doing homework.
Answer:
24-9•2+6÷3 =12 did that help you alot
Two quarters of the basketball game are complete. Now it is half time. Explain how this could be
Using proportions, the explanation for this is that a basketball game has four quarters, hence half-time is at the end of the second quarter.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using the basic arithmetic operations, especially multiplication and division with the unit rates in the problem.
The entirety of a basketball game is composed by:
4 quarters.
Hence the mid-point of the game is calculated as follows:
0.5 x 4 quarters = 2 quarters.
This means that the end of the second quarter is the mid-point of the game, which is why the halftime is positioned at the end of the second quarter.
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in a standard additions method workup what information from the linear regression is most closely related to the unknown concentration? (used to determine it)
In a standard additions method workup the information from the linear regression that is most closely related to the unknown concentration is this: the intercept of the linear regression line.
What information is closest to the unknown concentration?In the standard additions method workup, the information that is most closely related to the unknown concentration is the intercept of the linear regression line.
The reason why this is the case is that the intercept represents the y-value of the regression line where the line crosses the y-axis. This y-axis is the value of the dependent variable when the independent variable or concentration is zero. So, by solving for the intercept, we can determine the concentration of the unknown sample.
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Piper spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -8.4°F. Between 9am and noon, the temperature increased by 2.6°F. Between noon and 3pm, the temperature rose 1.2°F.
Between 3pm and 6pm, the temperature went down 9.9°F. What was the
temperature at 6pm?
Answer: -14.5°F
Step-by-step explanation:
-8.4 + 2.6 = -5.8
-5.8 + 1.2 = -4.6
-4.6 - 9.9 =
-14.5
If the price of a 8 minute phone call is $1.20 the what is the price of a 17 minute phone call
Answer:
The answer should be $2.55 for a 17 minute call
PLZ HELP ME FAST Evaluate: 2–4 =
Answer:
-2
Step-by-step explanation:
Answer:
This is negative 2
or
-2
Step-by-step explanation:
A lottery ticket on which the odds of winning are 1 in 1 million is given to every person in attendance at a college football game. The most likely result is that there will be
a. no winners in the stadium.
b. one winner in the stadium.
c. many winners in the stadium.
Answer:
The most likely result is that there will be no winners in the stadium.
Step-by-step explanation:
The odds of winning are 1 in 1 million, which means that there is a 99.9999% chance that any given person will not win. If there are 100,000 people in attendance at the game, then the expected number of winners is 0.1.
2) yeast is doubling in the container every minute. starting with a small amount, it takes 80 minutes to fill the container. how long will it take to fill one half of the container? what kind of a sequence are we dealing with?
The problems realted to doubling growth rate is solved using an exponential model. If it takes 80 minutes to fill the container, then it will take 79 minutes to fill one half of the container. The dealing sequence is a,a²,a⁴, a¹⁶,...... where a is intial amount.
An exponential model, is used here. The reason for this is that the growth rate is very high which an exponential model can accurately replicate. We have a yeast population is doubling in the container every minute. That is if it's population in container is half at present then the container become full filled in next minute. This also means is that if we know the quantity after a certain number of minutes, the quantity a minute earlier must have been half of that. Let the intial amount be 'x'. Total time taken by yeast to fully fill up the container = 80 minutes
We have to determine the time it take to fill one half of the container. Now, the container gets full in 80 minutes. Half of this quantity must have been meant that the container was half full. Thus, the container was half full 79 minutes after the yeast was put in it. We are dealing with a sequence something like that a, a², a⁴,___.
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use the chain rule to find ∂z/∂s and ∂z/∂t. z = sin() cos(), = st9, = s9t
∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.
To find ∂z/∂s and ∂z/∂t, we use the chain rule of partial differentiation. Let's begin by finding ∂z/∂s:
∂z/∂s = (∂z/∂)(∂/∂s)[(st9) cos(s9t)]
We know that ∂z/∂ is cos()cos() - sin()sin(), and
(∂/∂s)[(st9) cos(s9t)] = t9 cos(s9t) + (st9) (-sin(s9t))(9t)
Substituting these values, we get:
∂z/∂s = [cos()cos() - sin()sin()] [t9 cos(s9t) - 9st2 sin(s9t)]
Simplifying the expression, we get:
∂z/∂s = -sin()cos()t9 + cos()sin()9st2
Similarly, we can find ∂z/∂t as follows:
∂z/∂t = (∂z/∂)(∂/∂t)[(st9) cos(s9t)]
Using the same values as before, we get:
∂z/∂t = [cos()cos() - sin()sin()] [(s) (-sin(s9t)) + (st9) (-9cos(s9t))(9)]
Simplifying the expression, we get:
∂z/∂t = sin()cos()s - cos()sin()81t
Therefore, ∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.
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Christina's Pizza sells pizza by the slice for lunch. Today, they sold 76 slices, including 20 slices of pepperoni pizza. What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza?
Write your answer as a fraction or whole number.
P(pepperoni)=
Answer:
5/16
Step-by-step explanation:
20/76=5/16
(Probability of individual accounting for the whole)
OR
The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.
Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.
So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is
Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today
Experimental probability = 20 / 76
Experimental probability = 0.263
Answer:
5/19
Step-by-step explanation:
P(pepperoni)
=
pepperoni
total
=
20
76
=
5
19
So, P(pepperoni)=
5
19
.
Find which of the following quadrature formulas are of the interpolator type. Show your analysis. (a) integral^1_-1 f(x) dx 3/4 f(-1) + 5/4 f(1). (b) integral^1_-1 f(x) dx f(-1) + f(1). I
( c) integral^4_0 f(x) dx 2/3 f(0) + 8/3 f(2) + 2/3 f(4).
The quadrature formula (a) is not of the interpolator type, while the quadrature formulas (b) and (c) are of the interpolator type.
A quadrature formula is said to be of the interpolator type if it can be expressed as a linear combination of function values at a finite set of distinct points. In other words, the formula should be exact for polynomials of degree at most n, where n is the number of points used in the formula.
For formula (a), we have 3/4 f(-1) + 5/4 f(1) as the weights for the function values at the two end-points. This formula cannot be exact for polynomials of degree 1 (or higher) since it only involves two function values, and hence it is not of the interpolator type.
For formula (b), we have f(-1) + f(1) as the weights for the function values at the two end-points. This formula is exact for linear functions, i.e., polynomials of degree 1, since it involves two function values, and hence it is of the interpolator type.
For formula (c), we have 2/3 f(0) + 8/3 f(2) + 2/3 f(4) as the weights for the function values at three distinct points. This formula is exact for polynomials of degree 2, i.e., quadratic polynomials, since it involves three function values, and hence it is of the interpolator type.
Therefore, the quadrature formula (a) is not of the interpolator type, while the quadrature formulas (b) and (c) are of the interpolator type
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A restaurant offers three types of meats: chicken, beef,
and pork. The waiters surveyed 50 customers at random
about their favorite type of meat. The results are listed in
the table and on the graph below. If the restaurant
orders 400 pieces of meat, how many pieces should be
chicken?
Answer:
200
Step-by-step explanation:
If the waiters surveyed 50 customers and half of the customer's favorite meat was chicken, then if 400 pieces of meat were ordered 200 pieces should be chicken.
If \(\frac{50}{chicken}\) = \(\frac{50}{25}\) = \(\frac{1}{2}\), then \(\frac{400}{chicken}\) = \(\frac{400}{2}\) = \(2\)
I hope that makes sense :)
Midpoint Between Two Given Points Find the midpoint of the line segment with the endpoints (5, 6) and (-5, -2). Midpoint = (
The midpoint of the line segment with the endpoints (5, 6) and (-5, -2) is (0, 2).Hence, the answer is: Midpoint = (0, 2).
The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is calculated using the formula:M = [(x1 + x2) / 2, (y1 + y2) / 2]where M is the midpoint.In the given problem, the endpoints are (5, 6) and (-5, -2).
So, we can find the midpoint by applying the formula mentioned above.Midpoint = [(5 + (-5)) / 2, (6 + (-2)) / 2]= [0/2, 4/2]= [0, 2]
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Solve for x.
Geometric Mean
Middle, Left, Right
How do you solve this?
Answer Choices
A. 39.3
B. 34.5
C. 37.8
D. 35.9
Answer:
\(\mathrm{A.\: 39.3}\)
Step-by-step explanation:
Let \(h\) represent the height of the two smaller triangles in this figure. Because all three triangles are similar, we can set up the following proportion:
\(\frac{33}{h}=\frac{h}{y}\), for \(y=x-33\).
We can solve for \(h\) using the Pythagorean theorem on the second largest triangle:
\(33^2+h^2=36^2,\\h=\sqrt{36^2-33^2},\\h=\sqrt{207}\).
Now plugging in \(h=\sqrt{207}\) into our proportion \(\frac{33}{h}=\frac{h}{y}\), we can solve for y:\(\frac{33}{\sqrt{207}}=\frac{\sqrt{207}}{y}\).
Cross-multiply to get:
\(33y=207,\\y=\frac{207}{33},\\y\approx 6.3\).
Since we \(y=x-33, y+33=x\).
Therefore, our answer is:
\(x=33+y=33+6.3=\fbox{$\mathrm{A.\: 39.3}$}\).
please help me with this
A. The calculations for the measures of center are shown below.
B. The calculations for the measures of variability are shown below.
C. If you are interested in a larger class size, Mountain View School is a better choice for you.
How to calculate the measures of center?In Mathematics and Geometry, the mean for a set of data can be calculated by using the following formula:
Mean = [F(x)]/n
For the total number of data based on the stem and leaf plot, we have the following for Mountain View;
Total class size, F(x) = 10+12+18+19+20+21+23+24+24+25+25+26+27+28+30
Total class size, F(x) = 332
Mean = 332/15
Mean = 22.13.
Median = 24
Mode = 24 and 25
For Bay Side school, we have:
Total class size, F(x) = 5+6+8+10+12+14+15+16+18+20+20+22+23+25+42
Total class size, F(x) = 256
Mean = 256/15
Mean = 17.07.
Median = 16
Mode = 16 and 20
Part B.
For Mountain View School:
Range = 30-12 = 18
Interquartile Range (IQR) = Q3-Q1 = 27-21 = 6
Variance = [(12-23)² + (18-23)² + ... + (30-23)²]/13 = 32.92
Standard Deviation = √(Variance) = 5.74
For Bay Side School:
Range = Highest number - Lowest number
Range = 42 - 5 = 37
Interquartile Range (IQR) = Q₃ - Q₁
Interquartile Range (IQR) = 22-10 = 12
Variance = δ²
Variance = [(5-17.4)² + (6-17.4)² + ........ + (42-17.4)²]/15
Variance = 194.16
Standard Deviation, δ = √(Variance)
Standard Deviation, δ = 13.93
Part C.
Based on the calculations above, we can logically deduce that Mountain View School is a better choice for anyone interested in a larger class size because its measures of center (mean and median class size) are higher than those of Bay Side School.
Conversely, we can logically deduce that Bay Side School is a better choice for anyone interested in a larger class size because its measures of variability (range and standard deviation) are higher than those of Mountain View School.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the significant figure
Answer:
0.08030
4000
Please Mark it as brainlist answer.
What is the amplitude of this function f(x)? f(x)=3cos(2x)+5
Answer:
The Amplitude is 3
Step-by-step explanation:
How that helps
Answer:
The amplitude of this function is 4, which is calculated by subtracting the minimum value (1) from the maximum value (5).
Step-by-step explanation:
Each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch. I NEED HELP WITH THIS PLEASE!!!!!!!
Answer:
x ≤ 15 - weekly
x ≤ 3 - daily
Step-by-step explanation: sorry, not much info to answer this :(
what is the constant porpotionality of y=7.29x
Answer:
7.29
Step-by-step explanation:
the equation of proportionality is
y = kx ← k is the constant of proportionality
y = 7.29x ← is in this form with k = 7.29
21. Find the results of the following, using Fermat's little theorem: a. 315 mod 13 b. 1518 mod 17 c. 4567 mod 17 d. 145102 mod 101
The results using Fermat's little theorem are:
a. \(315 \mod 13 = 1\)
b. \(1518 \mod 17 = 1\)
c. \(4567 \mod 17 = 1\)
d. \(145102 \mod 101 = 1\)
Fermat's little theorem states that if p is a prime number and a is an integer not divisible by p, then \(a^{p-1} \equiv 1 \mod p\). We can use this theorem to find the results of the given congruences:
a. To find \(315 \mod 13\), we note that 13 is a prime number. Since 315 is not divisible by 13, we can apply Fermat's little theorem. We have \(315^{12} \equiv 1 \mod 13\). Simplifying this expression, we get \(315 \equiv 1 \mod 13\). Therefore, \(315 \mod 13 = 1\).
b. For \(1518 \mod 17\), we again use Fermat's little theorem. Since 17 is prime and 1518 is not divisible by 17, we have \(1518^{16} \equiv 1 \mod 17\). Simplifying this expression, we find \(1518 \equiv 1 \mod 17\). Hence, \(1518 \mod 17 = 1\).
c. Similarly, for \(4567 \mod 17\), we apply Fermat's little theorem. Since 17 is prime and 4567 is not divisible by 17, we have \(4567^{16} \equiv 1 \mod 17\). This simplifies to \(4567 \equiv 1 \mod 17\). Therefore, \(4567 \mod 17 = 1\).
d. Lastly, for \(145102 \mod 101\), we can once again use Fermat's little theorem. Since 101 is prime and 145102 is not divisible by 101, we have \(145102^{100} \equiv 1 \mod 101\). This simplifies to \(145102 \equiv 1 \mod 101\). Thus, \(145102 \mod 101 = 1\).
Therefore, the results using Fermat's little theorem are:
a. \(315 \mod 13 = 1\)
b. \(1518 \mod 17 = 1\)
c. \(4567 \mod 17 = 1\)
d. \(145102 \mod 101 = 1\)
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please answer and provide an explanation.
A(n) a refers to the result obtained when a decision alternative is chosen and a chance event occurs. a. outcome b. node c. state of nature Od. payoff table
The term that refers to the result obtained when a decision alternative is chosen and a chance event occurs is "outcome."
In decision analysis and decision theory, an outcome represents the result or consequence that occurs when a particular decision alternative is chosen and a chance event takes place. It is the outcome that follows the interaction between the decision maker's choice and the uncertain elements or events in the environment.
An outcome can be either a positive or negative consequence and may have associated values or utilities that measure the desirability or impact of that outcome. Outcomes are crucial in decision-making processes as they help evaluate the potential outcomes of different decision alternatives and assess their overall desirability or risk.
In decision analysis, an outcome represents the result or consequence that arises when a decision alternative is chosen and a chance event takes place. It plays a vital role in assessing the desirability and risks associated with different decision options.
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three vectors have equal magnitudes and make 120° with each other. we can say that
the magnitude of the resultant is \(\sqrt{2}\) times the magnitude of each individual vector, not one-third.
No, that is incorrect. The magnitude of the resultant of three vectors having equal magnitudes and making an angle of 120 degrees with each other is not one-third the magnitude of the component vectors.
The magnitude of the resultant of three vectors depends on the angle between them, as well as their magnitudes. In general, the magnitude of the resultant of three vectors can be calculated using the law of cosines, which states that the square of the magnitude of the resultant (R^2) is equal to the sum of the squares of the magnitudes of the individual vectors (\(A^2, B^2, and C^2\)), plus twice the product of the magnitudes of two of the vectors multiplied by the cosine of the angle between them.
For three vectors of equal magnitude (A = B = C = m), the magnitude of the resultant can be calculated as:
\(R^2 = 3m^2 + 2m^2 * cos(120) = 3m^2 - m^2 = 2m^2\)
\(R = \sqrt{2} * m\)
Therefore, the magnitude of the resultant is sqrt(2) times the magnitude of each individual vector, not one-third.
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Question: Three Vectors Have Equal Magnitudes And Make 120° With Each Other. We Can Say That The Magnitude Of The Resultant Is One-Third The Magnitude Of The Component Vectors. The Resultant Is Zero. The Magnitude Of The Resultant Is Equal To The Magnitude Of The Component Vectors. The Magnitude Of The Resultant Is More Than Three Times The Magnitude Of Each component Vector.
help plz will mark brainliest 100 point assignment
Answer:
The fourth answer, WBD is correct.
Step-by-step explanation:
As you can see the three points W, B and D all fall on the same line, which means that they are indeed colinear.
Answer:
W, B and D all fall on the same line, which means that they are indeed colinear.
Step-by-step explanation:
I need 23 and 24. The directions for them are solve for x. And assume that lines which appear to be diameters are actual diameters.
Explanation
Question 23
To get the value of x, let us get y as shown below
\(\begin{gathered} y+100=180^0(linear\text{ pairs}) \\ y=180-100=80^0 \end{gathered}\)Next, we will make use of the fact tha y and (x+85 ) are vertical angles so that
\(\begin{gathered} y=x+85\text{ \lparen linear pairs\rparen} \\ where\text{ y=80} \\ 80=x+85 \\ x=80-85=-5 \\ x=-5 \end{gathered}\)For question 23, x = -5
For question 24
The total angle in a circle is 360 degrees so that
\(-38x+4+65+42+95+40=360\)solving for x
\(\begin{gathered} -38x+246=360 \\ -38x=360-246 \\ -38x=114 \\ x=\frac{114}{-38} \\ x=-3 \end{gathered}\)For question 24, x =-3
What is the exponential form of log9 5 = y
Answer:
y = 0.732
Step-by-step explanation:
log3²(5) = y
(1/2) × log3(5) = y
y = (1/2) × log3(5)
y = 0.732487
y = 0.732 ( 3 sig.fig )
Write a polynomial function of least degree with integral coefficients that has the given zeros
The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.
As given in the question,
Given zeros of the polynomial function are :
3, 2, -1
⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0
Polynomial function of the given factors ( x - 3 ) =0 or ( x - 2 ) = 0 or
( x + 1 ) = 0 is given by :
f (x ) = ( x - 3 )( x - 2 )( x + 1 )
⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )
⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )
⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6
⇒f(x) = x³ - 4x² + x + 6
Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.
The complete question is:
Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?
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Sabrina's fairy godmother eliminated 4 debits from her bank account of $32 each. write an equation that represents sabrina's overall change in her bank balance.
Equation of Change in bank balance is x - $128
What is equation?A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).
Given Data
Let x be the overall bank balance
Equation
Change in bank balance = x - 4(32)
Change in bank balance = x - 128
Thus, equation of Change in bank balance is x - $128
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Please help me, my brain is spinning
Answer:
ok
Step-by-step explanation:
Just give you a break and listen to your favorite song and then take a long breath and start studying
A biker travels 10 miles in two hours, what is his speed?
Answer:
5 miles per hour
Step-by-step explanation:
Answer:
The answer is 5 MPH
Step-by-step explanation:
because
10 divided by 2 5
---- -----
2 divided by 2 1
5 divided by 1=5
5x2=10 its correct your answer is 5!
Have a great and hope this helped!
Which symbol correctly completes the statement?
-7 + 2 ___ 3 + (-9)
>
<
=
?
Answer:
-7 + 2 ___ 3 + (-9)
lets break this up
-7+2=-5
3+(-9) or 3-9 = -6
so the correct one is...
B: <