consider a little league team that has 15 players on its roster. (a) how many ways are there to select 9 players for the starting lineup? incorrect: your answer is incorrect. ways
Answers
The number of ways to select 9 players for the starting lineup from a team of 15 players is 4862 ways.
The number of ways to select 9 players for the starting lineup from a team of 15 players can be calculated using the formula for combinations, which is given by:
C(n,k) = n! / (k! (n-k)!)
Where n is the total number of items, k is the number of items being selected, ! means factorial, and C(n,k) represents the number of combinations of k items from n.
Using this formula, the number of ways to select 9 players from a team of 15 players is:
C(15,9) = 15! / (9! (15-9)!) = 15! / (9! 6!) = 4,862
So, there are 4,862 ways to select 9 players for the starting lineup from a team of 15 players.
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Related Questions
what is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x +3.8?
A. y=1.2x-6
B. y=-1.2x+6
C. y=1.2x+5
D. y= -1.2x-5
Answers
Given:
Equation of line is
\(y=1.2x+3.8\)
To find:
The equation of line that passes through the point (5, 0) and parallel to the given line.
Solution:
Slope intercept form of a line is
\(y=mx+b\)
where, m is slope and b is y-intercept.
On comparing the given equation \(y=1.2x+3.8\) with the slope intercept form, we get
\(m=1.2\)
So, slope of given line is 1.2.
Slope of parallel lines are same. So, slope of required line is 1.2.
The required line passes through (5,0) having slope 1.2. So, the equation of line is
\(y-y_1=m(x-x_1)\)
where, m is slope of the line.
\(y-0=1.2(x-5)\)
\(y=1.2x-1.2(5)\)
\(y=1.2x-6\)
Therefore, the correct option is A.
What improper fraction is equal to 8 1/6?
Answers
Answer:
8 1/6 written as an improper factrion is 49/6
Step-by-step explanation:
Answer:
49/6
Step-by-step explanation:
8*6=48
48+1=49
You can creare an improper fraction by mulitplying the denominator with the whole number then add the numerator
can someone help me with geometry
Answers
whats the question then?
sally works for 38 hours per week
her weekly wage is £355.68
she receives a pay increase of 23p per hour
work out her new weekly wage
give you're answer in £
Answers
It's 38*23 =874 dollars
The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answers
V = (4/3) * π * (d/2)^3
where d is the diameter of the sphere and π is the mathematical constant pi (approximately equal to 3.14159).
Substituting the given value, we get:
V = (4/3) * π * (6 cm/2)^3
V = (4/3) * π * (3 cm)^3
V = 113.0973355 cubic centimeters
Rounding to the nearest tenth, we get:
V ≈ 113.1 cubic centimeters.
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
.Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = sin(x), 0
Answers
The absolute maximum and minimum values of f are 1 and -1, respectively.
The given function is f(x) = sin(x)
, where 0 <= x <= 2π.Sketch the graph of f by hand:graph of f(x) = sin(x)
(where 0 <= x <= 2π)
Use the graph of f to find the absolute and local maximum and minimum values of f.
The absolute maximum value of f is 1, which occurs at x = π/2.
The absolute minimum value of f is -1, which occurs at x = 3π/2.
The local maximum values of f are 1, which occur at x = π/2 + 2πk
(k = 0, ±1, ±2, ...), and the local minimum values of f are -1, which occur at
x = 3π/2 + 2πk
(k = 0, ±1, ±2, ...).
Thus, the absolute maximum value of f is 1, and it occurs at x = π/2, and the absolute minimum value of f is -1, and it occurs at x = 3π/2.
The local maximum values of f are 1, which occur at x = π/2 + 2πk
(k = 0, ±1, ±2, ...), and the local minimum values of f are -1, which occur a
t x = 3π/2 + 2πk (k = 0, ±1, ±2, ...).
Hence, the absolute maximum and minimum values of f are 1 and -1, respectively.
The local maximum values of f are 1, which occur at x = π/2 + 2πk (k = 0, ±1, ±2, ...), and the local minimum values of f are -1,
which occur at x = 3π/2 + 2πk (k = 0, ±1, ±2, ...).
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What is the relationship between period and frequency? (both in words and mathematically)
Answers
The relationship between period and frequency is that they are inversely proportional to each other. In simpler terms, as the period of a wave or oscillation increases, its frequency decreases, and vice versa.
Mathematically, this relationship can be expressed using the formula: Frequency (f) = 1 / Period (T). Likewise, Period (T) = 1 / Frequency (f).To understand this relationship, let's first define the terms. Period (T) refers to the time it takes for one complete cycle of a wave or oscillation to occur. On the other hand, frequency (f) is the number of complete cycles that occur within a specific time interval, usually one second, and is measured in Hertz (Hz).
When a wave or oscillation has a longer period, it takes more time to complete one cycle, which means fewer cycles can occur within a given time frame. Consequently, the frequency is lower. Conversely, when the period is shorter, more cycles can fit within the same time frame, resulting in a higher frequency.
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if a point c is inside
Answers
Answer:
D= m∠AVB
Step-by-step explanation:
the value in dollars of recycling varies with the type of material. what is the weighted mean of this mixture of recyclables if compost is now worth twice as much?
Answers
The weighted mean of the mixture of recyclables would be (4 x $1 + 2 x $2) / 6 = $1.33.
To calculate the weighted mean of the mixture of recyclables, first identify the number of each material and their respective values. In this case, there are 4 items worth $1 each and 2 items worth $2 each. To calculate the weighted mean, multiply each item's value by the number of items and then divide by the total number of items
In this case,
4 x $1 + 2 x $2 = $6
and 6 items total, so the weighted mean is
$6 / 6 = $1.33.
This means that if compost is now worth twice as much, the weighted mean would be
(4 x $1 + 2 x $2) / 6 = $1.33.
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a traveler can choose from three airlines, five hotels, and four rental car companies. how many arrangements of these services are possible?
Answers
60 possible arrangements when a traveler can choose from three airlines, five hotels, and four rental car companies.
Number of airlines = 3
Number of hotels = 5
Number of rental car companies = 4
To calculate the total number of arrangements, we will multiply these numbers together
Total number of arrangements = Number of airlines × Number of hotels × Number of rental car companies
Total number of arrangements = 3 × 5 × 4
Total number of arrangements = 60
Therefore, there are 60 possible arrangements when a traveler can choose from three airlines, five hotels, and four rental car companies.
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cereal + water
............................
Answers
Answer:bottletle water
Step-by-step explanation:
Answer: Cereal water / Cereal in water
Step-by-step explanation:
Pretty much the flavor of cereal with the flavor of water
A fine fabric was selling for $10.50 per half yard. Joni bought 2 1/3 yards. How much did he spend? Brainliest for correct answer. (ANSWER ISN'T 45.5)
Answers
Answer:
45.5
Step-by-step explanation:
First you would find 1/3 third of 10.50 and it is 3.5, you would then do 10.50 x 4 since it said 10.50 per half a yard, so you would do times 4 and you would get 42, you would then add 42 + 3.5 which equals 45.5.
Ms. Bell's mathematics class consists of 6 sophomores, 11 juniors, and 13 seniors. How many different ways can Ms. Bell create a 5-member committee of seniors if each senior has an equal chance of being selected?
Answers
There are 1287 different ways Ms. Bell can create a 5-Member committee of seniors from her class.
Ms. Bell's mathematics class consists of 6 sophomores, 11 juniors, and 13 seniors. The task is to determine the number of different ways Ms. Bell can create a 5-member committee of seniors, with each senior having an equal chance of being selected.
To solve this problem, we can use combinations. The number of ways to select a committee of 5 seniors from a group of 13 can be calculated using the combination formula:
C(n, k) = n! / (k!(n - k)!)
Where n represents the total number of elements (seniors in this case), and k represents the number of elements to be selected (5 in this case). The exclamation mark denotes the factorial of a number.
Using the combination formula, the number of ways to select a 5-member committee from 13 seniors is:
C(13, 5) = 13! / (5!(13 - 5)!) = 13! / (5! * 8!) = (13 * 12 * 11 * 10 * 9) / (5 * 4 * 3 * 2 * 1) = 1287
Therefore, there are 1287 different ways Ms. Bell can create a 5-member committee of seniors from her class.
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Nicole invests $2000 in an account. The account pays compound interest at a rate of K% per year. At the end of the first year, the money in the account is $2036. (i) Show that K = 1.8. (ii) Find the number of complete years before Nicole has at least $2150 in the account. Show full working
Answers
Answer:
(i) K = 1.8 (Given in explanation)
(ii) Nicole will have the required amount of $2150 after 5 complete years
Step-by-step explanation:
The formula for compound interest is,
\(A = P(1+r/n)^{nt}\)
Where A is the final amount
P is the initial amount
r is the interest rate
n is the number of times the interest is applied per time period
t is the number of time periods elapsed
(i) In our case,
P = initial amount = $2000
A = final amount = #2036
r = K%
n = 1 (The account pays compound interest once per year and the time period is in years)
And for the 1st case, t = 1 year
so,
\(A = P(1+r/n)^{nt}\\2036 = 2000(1+K/100)^{1}\)
Note: 1/100 = 1% so K/100 = K%
\(2036/2000 = (1+K/100)\\2036/2000 - 1 =K/100\\1.018 -1 = K/100\\0.018=K/100\\K=(100)(0.018)\\\\K=1.8\)
Hence shown that K = 1.8
(ii)For the 2nd case, A = $2150 but in this case, we need to find the number of years t and we have found K from the previous problem K = 1.8
So,
\(2150 = 2000(1+1.8/100)^{t}\\2150/2000 = (1+1.8/100)^{t}\\1.075 = (1+1.8/100)^{t}\\\)
Now, we take the log on both sides,
\(log(1.075) = log(1 + 1.8/100)^t\)
Using the property,
\(log(A)^B = (B)(log(A)\)
we get,
\(log(1.075) = (t)log(1 + 1.8/100)\\log(1.075) = (t)log(1.018)\\log(1.075)/log(1.018) = t\\Which \ gives,\\t = 4.054 \ years\)
So, after 4 years, Nicole will have less than $2150 since it requires 4.054 years,
Hence, Nicole will have the required amount of $2150 after 5 complete years
what are the first four terms if a1=2 and an= an-1 +3?
Answers
The first four terms of the sequence are a₁ = 2, a₂ = 5, a₃ = 8, a₄ = 11.
What is arithmetic progression?The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). A good example of an arithmetic progression (AP) is the series 2, 6, 10, 14,..., which follows a pattern in which each number is created by adding 4 to the previous term.
The given sequence is defined as a₁=2 and aₙ= aₙ₋₁ + 3 for n > 1.
To find the first four terms of the sequence, we can use the recursive formula repeatedly:
a₁ = 2 (given)
a₂ = a₁ + 3 = 2 + 3 = 5
a₃ = a₂ + 3 = 5 + 3 = 8
a₄ = a₃ + 3 = 8 + 3 = 11
Therefore, the first four terms of the sequence are a₁ = 2, a₂ = 5, a₃ = 8, a₄ = 11.
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i roll five fair dice. i tell you at least two dice landed on 4, 5, or 6. what is the probability that there are exactly 4 dice that landed on a 4, 5, or 6
Answers
Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.
What is the probability that there are exactly 4 dice that landed on a 4, 5, or 6?Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;
\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)
In the given data;
n = 5
k = 4
p = 3/6 = 1/2
Using the binomial probability formula, we can calculate:
P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴
P(X=4) = 5 * (1/2)⁴ * (1/2)¹
P(X=4) = 5 * (1/16) * (1/2)
P(X=4) = 5/32
Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.
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manufacturer has a steady annual demand for 14688 cases of sugar. It costs $6 to store 1 case for 1 year, $34 in set up cost to produce each batch, and $19 to produce each case. Find the number of batches of sugar that should be manufactured annually if 408 cases of sugar are produced in each batch.
The manufacturer should manufacture_____batches of sugar annually.
Answers
The manufacturer should manufacture 36 batches of sugar annually.
To find the number of batches of sugar that should be manufactured annually, we need to consider the total cost of production and storage. First, let's calculate the total annual demand for sugar:
14688 cases/year
Next, let's calculate the number of cases produced in each batch:
408 cases/batch
To meet the annual demand, we need to produce:
14688 cases/year ÷ 408 cases/batch = 36 batches/year
Now, let's calculate the total cost of production and storage for 1 year:
Cost of storage: 14688 cases/year × $6/case/year = $88,128/year
Cost of production:
36 batches/year × $34/batch + 36 batches/year × 408 cases/batch × $19/case = $27,864/year + $279,936/year = $307,800/year
Total cost: $88,128/year + $307,800/year = $395,928/year
Therefore, the manufacturer should manufacture 36 batches of sugar annually.
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help help helpppppp.fasttttttt.
Answers
Answer:
23.6
Step-by-step explanation:
\(c=2\pi r\)
The diameter of the cirle is 7.5 m. To find the radius you would take half of the diameter.
7.5 / 2 = 3.75
\(c=2\pi 3.75\)
Then you multiply them
your answer is
23.5619
then you round
23.6
Hope this helps!
Which function has a range of {yl y> -10}?
O y = (x – 10 + 2
y= x -5 - 10
O y = x + 10 - 4
y= x + 7 +10
Answers
Answer:y= x + 7 +10
Step-by-step explanation:
Answer:
its y = x-5 -10
Step-by-step explanation:
b on edge 2020
9 ⅚ + 1 ¼ + ___________ = 14
Answers
Answer:
14
reeaADADSDDSSA
Step-by-step explanation:
[answer 1 11/12 or 2.917]
1. 9 5/6 + 1 1/4 = 11 1/12
2. 14 - 11 1/12 = 35/12 then you smiplfy to get 1 11/12 or 2.917
The area of trapezoid ABCD is 60. One base is 4 units longer than the other, and the height of the trapezoid is 5. Find the length of the median of the trapezoid.
Answers
The length of the median of the trapezoid is 12.
The area of a trapezoid is given by the formula (1/2)h(b1+b2), where h is the height and b1 and b2 are the lengths of the bases. We know that the area is 60, the height is 5 and b1 = b2 + 4.
So, we can write the equation as follows:
(1/2) * 5 * (b1 + b2) = 60
To find the length of the median of a trapezoid, we need to find the length of the mid-segment. The mid-segment of a trapezoid connects the midpoints of the non-parallel sides. The length of the midsegment is the average of the lengths of the bases.
So, the length of the median is (b1 + b2) / 2.
We can substitute the value of the area to find the lengths of the bases and then use that to find the length of the median.
(1/2) * 5 * (b1 + b2) = 60
(1/2) * 5 * (b1 + b2) = 60
b1 + b2 = 24
b1 = b2 + 4
b2 = 24 - b1
b1 = (24 - b1) + 4
b1 = 24 - b1 + 4
b1 = 28 - b1
b1 = 28 - (24 - b1)
b1 = 4 + b1
b1 = b2 + 4
b1 = b1
So, the lengths of the bases are equal to 14 and 10.
Length of median = (14 + 10) / 2 = 12.
Therefore, The length of the median of the trapezoid is 12.
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please help me please will give brainliest to anyone who is good
show your work
Answers
Answer:
A
Step-by-step explanation:
\(\frac{2 \frac{1}{2} }{\frac{2}{5} } = \frac{2\frac{1}{2} }{2} times 5\)
1 1/4 × 5 = 6 1/4
A scale model of the empire state building is 8cm tall. The actual building is 1454 feet tall. What scale factor was used to create the scale model?
Answers
Answer:
Scale Factor \(= 5540\)
Step-by-step explanation:
As we know -
Scale scale factor \(= \frac{L_p}{L_m}\)
\(L_p =\) Length of Actual object
\(L_m =\) length of the model
Substituting the given values in above equation we get
Scale factor
\(= \frac{44317.92}{8} \\= 5539.74\\=5540\)
Solvethefollowing:a) 7 − 4 + 12 = 2 + 8b) 14 + 15 − 9 + 1 = −7 + 1 − 9c) 4 − 10 = 8( + 2)
Answers
First, we subtract 2x on each side.
\(\begin{gathered} 7x-4x-2x+12=2x-2x+8 \\ x+12=8 \end{gathered}\)Then, we subtract 12 on each side.
\(\begin{gathered} x+12-12=8-12 \\ x=-4 \end{gathered}\)The solution is -4.(b)\(14x+15x-9+1=-7x+1-9\)We sum 7x on each side.
\(\begin{gathered} 14x+15x+7x-9+1=-7x+7x+1-9 \\ 36x-8=-8 \end{gathered}\)Then, we add 8 on each side.
\(\begin{gathered} 36x-8+8=-8+8 \\ 36x=0 \end{gathered}\)At last, we divide the equation by 36.
\(\begin{gathered} \frac{36x}{36}=\frac{0}{36} \\ x=0 \end{gathered}\)The solution is 0.(c)\(4x-10=8(x+2)\)First, we use the distributive property.
\(4x-10=8x+16\)Then, we subtract 8x on each side.
\(\begin{gathered} 4x-8x-10=8x-8x+16 \\ -4x-10=16 \end{gathered}\)Now, we add 10 on each side.
\(\begin{gathered} -4x-10+10=16+10 \\ -4x=26 \end{gathered}\)At last, we divide the equation by -4.
\(\begin{gathered} \frac{-4x}{-4}=\frac{26}{-4} \\ x=-6.5 \end{gathered}\)The solution is -6.5.HURRY!!!!!!!!! THIS QUESTION IS 50PTS.
Option 1: $10.00 every day
Option 2: $3.00 on the first day, $3.50 on the second, $4.00 on the third, and so on, increasing by $0.50 per day
Option 3: $0.01 on the first day, $0.02 on the second, $0.04 on the third, and so on, doubling each day.
For option 1,2 and 3 Write a formula to find how much you would make on any day.
Answers
Answer:
option 1: 10d
option 2: 0.5d + 3
option 3: x + x or x * x
Step-by-step explanation:
variable d = days
option 1: 10d
option 2: 0.5d + 3
option 3: x + x or x * x (i don't know if that counts but you can try it)
2: 0.5x+3
3: x^2
mark me brainliest if the answer is correct, thank you in advance :)
Out of a class of 150 one third opted for Germany two fifth for Italian and rest for French. find how many opted for French
Answers
Answer:
40
Step-by-step explanation:
Total is 150
Germany=1/3 *150 = 50
Italian= 2/5 * 150 = 60
Total - Germany- Italian= French
150 - 50 -60= 40
The total number of fans is attendance at a Wednesday baseball game was 48,268. The game had 12,568 more fans than the Tuesday game the day before. How many fans attended each game?
Answers
35,700+48,268=83,969.
The Pentagon in Washington, D.C. is shaped like a regular pentagon. Find the measure of each interior angle. The measure of two angles in a kite are 90° and 30°. What is the measurement of the other two angles?
Answers
In a regular pentagon, each interior angle measures 108 degrees.
In a kite, the measurements of the other two angles are the same as the given angles, which are 90 degrees and 30 degrees.
A regular pentagon is a polygon with five sides of equal length and five angles of equal measure. To find the measure of each interior angle in a regular pentagon, we can use the formula: (n - 2) * 180° / n, where 'n' represents the number of sides.
In this case, 'n' is equal to 5 since we're dealing with a pentagon. Substituting this value into the formula, we have:
(5 - 2) * 180° / 5
= 3 * 180° / 5
= 540° / 5
= 108°
Hence, each interior angle in a regular pentagon measures 108 degrees.
A kite is a quadrilateral with two pairs of adjacent sides that are of equal length. It has one pair of opposite angles that are congruent (equal) and another pair of opposite angles that are also congruent.
Given that two angles in a kite measure 90° and 30°, we can determine the measurements of the other two angles by considering the properties of kites. Since the opposite angles in a kite are congruent, one pair of opposite angles will measure 90° and the other pair will measure 30°.
Therefore, the measurements of the other two angles in the kite are 90° and 30°, just like the given angles.
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Can somebody help me with the list 3. Will mark brainliest
Answers
Answer:
3. < ACB=<DCE
Step-by-step explanation:
Both are vertical angles & they are equal
How can the province having more agricultural lan contribute in development in nepal.
Answers
Having more agricultural land can play a significant role in Nepal's development, providing income opportunities, boosting the economy, and improving food security.
Having more agricultural land can greatly contribute to the development of Nepal in multiple ways. First and foremost, agriculture is a major source of income for many people in Nepal, particularly those living in rural areas.
With more agricultural land available, farmers can increase their yields and production, which can lead to higher incomes and improved living standards.
Moreover, agriculture is a critical sector of Nepal's economy, accounting for over one-third of the country's GDP. With more agricultural land, Nepal can increase its overall agricultural output, leading to greater economic growth and development.
In addition, having more agricultural land can help improve food security in Nepal. With a growing population, it is important for Nepal to be able to produce enough food to feed its people. By expanding agricultural land, Nepal can increase its food production, reducing the need for imports and ensuring that its citizens have access to affordable, nutritious food.
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