write an expression showing allowable number of players on a team
Answers
In linear equations, the possible number of players in a game with eight teams is given by 16 ≤ P ≤ 32.
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).Let the number of players be n
Since each team can have between 2 and 4 players
n ≥ 2 or 2 ≤ n, and n ≤ 2
Therefore, the allowable number of players on a team is given by 2 ≤ n ≤ 4
2) There are four players in Han's team and a perfect score is 20
Therefore, the number of points Han's team earns in one round if every player earns a perfect score is given by 4 * 20
3) There are four players in Han's team
Total score if each player in Han's team earns a perfect score is 4 * 20 = 80
Let the total score of Han's team be T
Therefore, the number of points, Han's team earns in one round if no players earn a perfect score is given by T < 80
4) If two team have 4 players, it is given by 2 * 4
If the rest four teams have 3 players each, it is given by 4 * 3
Therefore, the number of players in a game with six teams of different sizes: two teams have 4 players each and the rest have 3 players each is given by (2 * 4) + (4 * 3)
5) Let the possible number of players in a game with be P
Maximum number of players in eight teams = 4 * 8 = 32
Minimum number of players in eight teams = 2 * 8 = 16
P ≤ 32 and P ≥ 16 or 16 ≤P
Therefore, the possible number of players in a game with eight teams is given by 16 ≤ P ≤ 32.
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The complete question is -
In a video game, players form teams and work together to earn as many points as possible for their team. Each team can have between 2 and 4 players. Each player can score up to 20 points in each round of the game. Han and three of his friends decided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents
Related Questions
What is the reclusive rule for this geometric sequence? -64, -16, -4, -1
Answers
Answer:
See below ~
Step-by-step explanation:
Finding the common ratio (r)
Divide a term by the term precedes (follows) itr = -16/-64r = 1/4r = 0.25 [Blank 1 answer]First term (a₁)
The first term in the sequence is the term from which the sequence startsa₁ = -64 [Blank 2 answer]Plllzzzz answer this question, if Ronny when 68 miles per hour in his Tesla sports, how long will it be till he gets to his brother's house, his house is 92 miles from him consider- ring the fact that his wheel popped and lost two hours fixing it since he simply could not go that fast he, reduced his speed by 20 mph, how long will it take him to show up.
yes this is on my test
Answers
Answer:
the class has 12 girls and 16 boys what is the ratio of the total students to boys in simplest form
Which two ratios are equivalent to 10 : 12? A. 11 : 13 and 20 : 24 B. 10 : 12 and 11 : 13 C. 5 : 6 and 20 : 24 D. 5 : 6 and 11 : 13
Answers
Answer: C. 5;6 And 20: 24
Step-by-step explanation:
10 divided by 2 is 5 : 20 divide by 10 equal 10
12 divided by 2 is 6 : 24 divide by 12 equal 2
Have a Beautiful day!
the cost of old boiler is £775 per year,the new one is £1850 ,the cost of using a new boiler will be 1/5 less than the cost of using the opd boiler. how many years will it take for the savings feom cost of using nthe new boiler to total £1850
Answers
Answer:
I think its 12.3 years
Step-by-step explanation:
a fifth of 775 is 155 and 155 x 12.3 = 1850
What are m and b in the linear equation y = 20x + 13?
Answers
Answer: M is the variable used for slope and B is the y-intercept. In other words, 20 = M or your slope. B = 13 or your Y-intercept.
I hope this makes sense!
What is the square root of -1?
Answers
Answer:
i
Step-by-step explanation:
Why is i the square root of negative one?
The term "imaginary" is used because there is no real number having a negative square. There are two complex square roots of −1, namely i and −i, just as there are two complex square roots of every real number other than zero, which has one double square root.
An airline offers discounted flights from Atlanta to five American cities . Below is a frequency distribution of the number of tickets purchased for each location based on a random sample of purchased tickets. Complete parts (a) through (f)
-(a) construct a relative frequency distribution of the data. (round to three decimal places as needed)
Answers
According to the given statement The relative frequency distribution of the data is = 964.400
What is the data's relative frequency distribution?A relative frequency distribution, which is connected to a probability distribution and is widely used in statistics, illustrates the percentage of the total number of observations associated with each value or class of values.
What is the purpose of using relative frequency distribution?Relative frequency distributions are particularly valuable because they show how common a value is in a dataset in comparison to all other values.
According to the given information:The relative frequency distribution of the data:
= the frequency/ total number of data.
So,
the frequency of the data is:
1227 + 884 + 1160 + 634 + 917
= 4,822
The total number of data: = 5
Now applying the formula we get:
= 4822/5
= 964.400
According to the given statement the frequency of the data is = 964.400
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The water in a pool is evaporating at a rate of 5% per day. If the pool has 18,800gallons in it today, how many gallons will it have in 9 days? Round your answer to thenearest whole number, if necessary.
Answers
We know that the water is evaporating at a rate of 5%, this means that the water amoun is decreasing. Since the rate at which this is happening is constant we can use an exponential function of the form:
\(y=A(1-r)^t\)where A is the original amount of water, r is the rate in decimal form and t is the number of days. Plugging the initial amount and the rate we have that:
\(\begin{gathered} y=18800(1-0.05)^t \\ y=18800(0.95)^t \end{gathered}\)Hence the amount of water after t days can be found by the expression:
\(y=18800(0.95)^t\)Once we know the expression we plug the number of days we want to know, in this case nine, then we have:
\(\begin{gathered} y=18800(0.95)^9 \\ y=11849 \end{gathered}\)Therefore, after nine days the pool has 11849 gallons of water.
A square wrestling mat has a perimeter of (12x−32)
feet. Write an expression in simplest form that represents the side length (in feet) of the mat.
Answers
Answer:
The perimeter of a square is given by the formula P = 4s, where s is the side length. In this case, we are given that the perimeter is (12x - 32) feet, so we can set up an equation:
P = 4s
(12x - 32) = 4s
To solve for s, we can divide both sides by 4:
(12x - 32)/4 = s
Simplifying the expression on the left:
3x - 8 = s
Therefore, the expression in simplest form that represents the side length of the square wrestling mat is 3x - 8 feet.
Answer:
Step-by-step explanation:
the answer would be 3 x − 8 3x-8 3x−8 ft
I am lost please help thank you all
Answers
Answer:
Step-by-step explanation:
At least 9 means more than 9 and includes 9
x ≥ 9 and [9, +∞)
At most 9 means numbers less than 9
x≤9 and (-∞, 9]
more than 9 means bigger than 9 but not including 9
x > 9 and (9, +∞)
fewer than 9 means less than 9 but not including 9
x<9 and (-∞, 9)
strictly between 7 and 9 means between 7 and 9 but not including
7<x<9 and (7,9) (This is the only one I'm unsure of. Strictly, not sure if it includes or doesn't include, usually it just says include or doesn't include)
between 7 and 7 inclusive. means it's just =7 There's no boundaries
x=7
no more than 7 means less than 7 and includes 7
x ≤ 7 and (-∞, 7]
2. A bicycling club has 58 members, of which 4 are males and the rest are females. What is the ratio of females to males?
please help is ratio
Answers
Answer: 54:4
Step-by-step explanation:
The workers' union at a particular university is quite strong. About 96 of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 4 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 2 of the workers interviewed are union members?
Answers
The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.
To solve this problem, we can use the binomial probability formula, which is:
\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)
where:
n is the sample size (number of workers being interviewed)
k is the number of successes we are interested in (in this case, 2 of the workers being union members)
p is the probability of success (in this case, the probability that a worker is a union member)
(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))
Plugging in the values, we get:
\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)
\(= (6) * (0.96)^2 * (0.04)^2\)
= 0.04403136
Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.
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how many solutions does the system of equations have?
Answers
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
michaela has h hair ties. michaela's sister has triple the number of hair ties that michaela has. choose the expression that shows how many hair bows michaela's sister has
Answers
Answer:
\(S = 3 h\)
Step-by-step explanation:
Let M represent Michaela hair tier and S represents Michaela sister's
Given
M = h
S = Triple of M
Required
Determine an expression for S
From the given parameters, we have that;
S = Triple of M
Mathematically, this implies;
\(S = 3 * M\)
Substitute h for M
\(S = 3 * h\)
\(S = 3 h\)
Hence, the expression for Michaela sister' is \(S = 3 h\)
What number is equal to
Enter your answer as the correct value, like this
If your answer is a fraction, use the / symbol, like this
Answers
Answer:
1296
Step-by-step explanation:
(1/6)^-4
6^4/1
1296/1
1296
Answer:
\( { (\frac{1}{6} )}^{ - 4} \\ = { (\frac{6}{1}) }^{4} \\ = {6}^{4 } \\ = 6 \times 6 \times 6 \times 6 \\ = 36 \times 36 \\ = 1296 \\ thank \: you \)
10 points. please answer
Answers
The measure of the angles for the similar triangles are ∠G = 105°; ∠H = 55° and ∠I = 20°
What are similar triangles?Two triangles are said to be similar if the ration of their corresponding sides are in the same proportion. Also, all their corresponding angles are congruent with each other.
From the diagram shown:
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
20 + 105 + ∠Z = 180
∠Z = 55°
Since triangle XYZ and triangle GHI are similar, hence:
∠X = ∠G = 105°; ∠Z = ∠H = 55° and ∠Y = ∠I = 20°
The measure of the angles are ∠G = 105°; ∠H = 55° and ∠I = 20°
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16. Find m<2.
a. 86°
b. 43°
C. 94°
d. 133
Answers
Answer : 86 degrees
Find the probability that a randomly selected point within the square falls in the red shaded square
Answers
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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Help asap plz!!!
Conner and Jana are multiplying (3568)(39610). Conner's Work Jana's Work (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680 Is either of them correct? Explain your reasoning.
Answers
Answer:he's 100% right
Step-by-step explanation:
If OB' = 5 cm and BB' = 7.5 cm what is the scale factor of the dilation?
Please answer! Will give Brainliest!
Answers
The scale factor of the dilation can either be increased or decreased or enlarged or reduced but for the given parameters, the scale factor of the dilation is; 1.5
What is the scale factor?In dilation, the figure or image could be either enlarged or reduced. Now, we are told that OB' = 5cm and it was dilated to BB' which is 7.5 cm.
We can see that the length increased from 5 cm to 7.5cm. Thus, we can find the scale factor of dilation from;
Scale Factor = BB'/OB' = 7.5/5
Scale Factor = 1.5
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Choose the best estimate for the quotient.
8.23 divide by 65.29
A) 7
B) 8
C) 9
D) 10
Answers
Answer:
8
Step-by-step explanation:
65.29/8.23≈7.933
7.933 rounds to 8
translate the question into an equation. Do not solve. Let n be the unknown number. what is 1% of 77?
Answers
Answer:
1% × 77 = n
I used multiplication since "of" counts as multiplication.
there are 4 sets of balls numbered 1 through 4 placed in a bowl. if 4 balls are randomly chosen without replacement, find the probability that the balls have the same number. express your answer as a fraction
Answers
ANSWER:
1/455
STEP-BY-STEP EXPLANATION:
Given:
4 sets of bballs numbered 1 through 4 are placed in a bowl.
So, totally 16 (4 * 4) balls in a bowl.
To be able to solve this, we must resort to combinations, to find the total number of having same number.
Therefore:
\(\begin{gathered} _nC_r=\frac{n!}{r!\cdot(n-r)!} \\ n=16,r=4 \\ \text{ replacing} \\ _{16}C_4=\frac{16!}{4!\cdot(16-4)!}=\frac{16!}{4!\cdot12!}=1820 \end{gathered}\)The probabilitywould be:
\(\begin{gathered} p=\frac{4}{1820} \\ p=\frac{1}{455} \end{gathered}\)The probability is 1/455
Carla asked students at a lunch table what their main course they liked. Out of these students, 28n liked pizza, 15 liked chicken nuggets, and 8 liked both. what is the probability that a randomly selected student will like pizza but not chicken nuggets?
Answers
The probability that a randomly selected student will like pizza but not chicken nuggets is (28n - 8)/(28n + 7), where 28n is the students who like pizza and 8 is students who like both pizza and chicken nuggets.
To find the probability that a randomly selected student will like pizza but not chicken nuggets.
Let P = the number of students who like pizza but not chicken nuggets
Then, P = the number of students who like pizza - the number of students who like both pizza and chicken nuggets
P = 28n - 8
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students)
We can find the total number of students who like either pizza or chicken nuggets by adding the number of students who like pizza and the number of students who like chicken nuggets, and then subtracting the number of students who like both:
Total number of students = 28n + 15 - 8 = 28n + 7
So, the probability that a randomly selected student will like pizza but not chicken nuggets is:
P(Pizza but not nuggets) = P/(Total number of students) = (28n - 8)/(28n + 7)
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Lily has 4 cups of apples, 5-½ cups of watermelon, and cups of
grapes. She needs 2½ times of each fruit to make her fruit bowl. How
much of each fruit does she need? Do not round. Write your answer as
a whole number or as a mixed number. Use "/" as a fraction bar. Do
not label your answers.
a. Apples
b. Watermelons
c. Grapes
Answers
a. Apples: Lily needs 10 cups of apples for her fruit bowl.
b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.
c. Grapes: The amount of grapes that Lily has is not given
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.
a. Apples:
2½ × 4 cups = 10 cups
Therefore, Lily needs 10 cups of apples for her fruit bowl.
b. Watermelons:
2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups
Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.
c. Grapes:
The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.
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Diane's bank is offering 5% interest, compounded monthly. If Diane invests $10,500 and wants $20,000 when she withdrawals, how long should she keep her money in for? Round to the nearest tenth of a year.
Answers
Answer:
The time period is 13 years.
Step-by-step explanation:
Interest rate (r )= 5% or 5%/12 = 0.42% per months
The investment amount (Present value) = $10500
Final expected amount (future value) = $20000
Since we have given the initial amount and final amount. Therefore we have to calculate the time period for which the initial amount is kept in the bank.
Use the below formula to find the time period.
Future value = present value (1 + r )^n
20000 = 10500(1+0.0042)^n
1.9047619 = (1+0.0042)^n
1.9047619 = 1.0042^n
n = 153.74 months.
Time in years = 153.74 / 12 = 12.8 years or 13 years (round off)
4. A busload of campers stopped at a local organic dairy stand for ice cream. They ordered 91cones, some soft-serve at $2.25 each and the rest hard-pack at $0.75 each. The total bill was$158.25. How many of each type of cone were ordered? (10 points)
Answers
Let the number of soft-serve be x and the number of hard-pack be y.
The total number of cones ordered is 91. Thus,
\(x\text{ + y =91 --- equation 1}\)The price of soft-serve is $2.25 each. Thus, for x number of soft-serve, we have
\(2.25\text{ }\times\text{ x =\$2.25x}\)Similarly, the price of hard-pack is $0.75 each. Thus, for y number of hard-pack, we have
\(0.75\text{ }\times\text{ y= \$0.75y}\)The total bill was $158.25. This implies that
price of x soft-serve + price of y hard-pack = total bill
\(2.25x\text{ + 0.75y = 158.25 ----- equation 2}\)Solve for x and y simultaneously in equations 1 and 2.
\(\begin{gathered} x\text{ + y = 91 ---- equation 1} \\ 2.25x\text{ + 0.75y = 158.25 ---- equation 2} \end{gathered}\)Solve by the method of substitution.
From equation 1,
\(\begin{gathered} x+y=91 \\ \Rightarrow y=91-x\text{ ---- equation 3} \end{gathered}\)Substitute equation 3 into equation 2.
\(\begin{gathered} 2.25x\text{ + 0.75y = 158.25} \\ 2.25x\text{ + 0.75(91-x) = 158.25} \\ \text{open brackets} \\ 2.25x\text{ + 68.25-0.75x = 158.25} \\ \text{collect like terms} \\ 2.25x-0.75x\text{ = 158.25-68.25} \\ 1.5x=90 \\ \text{divide both sides by the coefficient of x, which is }1.5 \\ \frac{1.5x}{1.5}=\frac{90}{1.5} \\ \Rightarrow x=60 \\ \end{gathered}\)Substitute the value of 60 for x in either equation 1, 2 or 3.
Substitution into equation 3, we have
\(\begin{gathered} y=91-x \\ \Rightarrow y=91-60 \\ y=31 \end{gathered}\)Hence,
the number of soft-serve ordered is 60,
the number of hard-pack is 31.
Find the missing value to the nearest hundredth. cos (______) = 3/7
A. 64.62 degrees
B. 1.12 degrees
C. Not possible
Answers
Answer:
1.12
Step-by-step explanation:
Suppose you are driving. You notice that after driving for 4 hours, you are 175 miles from Seattle. You continue driving, and calculate that after driving 6 hours you are 255 miles from Seattle.
Required:
a. What was your rate of travel between these two observations?
b. How far from Seattle are you after driving for 17 hours?
Answers
b. 680 miles from Seattle
A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
Answers
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = \((1-p)^{k-1}\)×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
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