20 boys are trying out for 10 spots on the basketball team. if you wanted to determine how many different groups of 10 boys can be created, would you use a permutation or combination?

Answers

Answer 1

Answer:

Combination would be the best choice here because they are in groups of 10 different.


Related Questions

The surface area of a sphere with a diameter of 12 units is:

Answers

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

write 1 and 1/3 as an improper fraction

Answers

Answer:

4/3

Step-by-step explanation:

to change a mixed number to an improper fraction, you have to multiply the denominator by the whole number and add the numerator to the product. This is your numerator. The denominator stays the same.

Thus,

Numerator = 3 x 1 +1 = 4

Denominator = 3

Fraction = 4/3

Hope this helps.

The improper fraction of 1(1/3) is 4/3.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

1 and 1/3

An improper fraction means the numerator is greater than the denominator.

So,

1 and 1/3

= 1(1/3)

= (3 x 1 + 1) / 3

= 4/3

4 > 3 so it is an improper fraction.

Thus,

The improper fraction of 1(1/3) is 4/3.

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Answer this please thanks

Answers

Answer:

m∠BOC = 60°

Step-by-step explanation:

Step 1: Find x

7x + 30 + 9x + 42 = 104

16x + 72 = 104

16x = 32

x = 2

Step 2: Plug x into ∠BOC equation to find m∠BOC°

9(2) + 42

18 + 42 = 60

Johnny rode his bike StartFraction 4 over 7 EndFraction of a mile from his house to the lake on a straight path. Then, he turned around and rode his bike 3 and StartFraction 1 over 8 EndFraction miles in the opposite direction. About how far is Johnny from his house? 1 and one-half miles 2 miles 2 and one-half miles 3 miles

Answers

The answer is A!! I took the test

Answer:

1 1/2 miles

Step-by-step explanation:

(aka option A on edge)

if (5,k) is a solution of 2x+y-6=0,then find the value of k.

Answers

[tex]answer \\ k = - 4 \\ solution \\ 2x + y - 6 = 0 \\ (5 \: k) \: is \: a \: solution \: so \\ x = 5 \: and \: y = r \\now \\ 2x + y - 6 = 0 \\ or \: 2 \times 5 + r - 6 = 0 \\ or \: 10 + r - 6 = 0 \\ or \: 10 - 6 + r = 0 \\ or \: 4 + r = 0 \\ or \: r = 0 - 4 \\ r = - 4 \\ hope \: it \: helps[/tex]

PLEEEEEEEEEEEASE HELP
The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)?

Answers

Step-by-step explanation:

5f

5 + n times of a number

find the surface area of sphere please help me i’ll give u brainlest

Answers

Answer:

[tex]Surface Area = 84.9 cm^2[/tex]

Step-by-step explanation:

Surface Area = [tex]4\pi r^2[/tex]

Putting r = 2.6 cm

SA = 4(3.14)(2.6)²

SA = 4(3.14)(5.76)

SA = 84.9 cm²

Answer:

[tex]2.6^{2} \times \pi \times 4 = 84.9[/tex]

What is the product?
1
12
64
2
78
30
6
32
78 30
6
64
78 30
6
32
39
15
6
64
39 30

Answers

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

Answer:

Answer:

9.3526131e+34

Step-by-step explanation:

112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34

What is the rate of change for the function in the table?

Answers

Answer:

$2 per song

Step-by-step explanation:

When you buy 2 songs, you pay $4.

$4 ÷ 2 = $2

Answer:

$2 per song

Step-by-step explanation:

rate of change for the function=cost/no. of song

=y/x

=2

I NEED HELP PLEASE, THANKS! :)

Answers

Answer: b) increasing for x < -4/3 and x > 4/3

                    decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and the follow the curve from left to right.  When you are going up, it is increasing.  When you are going down, it is decreasing.

see the image below.  Red is increasing. Blue is decreasing.

The vertices occur when x = -4/3 and x = 4/3

please answer
topic: perimeter and area volume
(image will be inserted)

it's question 3 in the image

question is: how much do the sides measure?

Answers

Answer:

I think the

Step-by-step explanation:

answer is C . let me know

Does the table represent a function? why or why not? HELP WANTEDD

Answers

Answer:

C no, because one x value corresponds to two different y values

Step-by-step explanation:

The x value of 3 goes to two different y values

This means this cannot be a function

This is not a one to one correspondence

Answer: C

Step-by-step explanation: In order for a table to represent a function each x-value needs to correspond to exactly 1 y-value.

Notice that in the table, the 3 appears twice and it corresponds to a 5 in one case and it corresponds to a 6 in another case.

Since the x-value of 3 corresponds to more than 1 y-value,

no, this table does not represent a function.

What is the decimal multiplier to decrease by 1.7%?

Answers

Answer:

0.983

Step-by-step explanation:

100(0.983)=98.3

Answer:

[tex]0.983[/tex]

Step-by-step explanation:

[tex]\frac{100-17/10}{100}[/tex]

[tex]\frac{100-1.7}{100}[/tex]

[tex]=0.983[/tex]

Sylvie finds the solution to the system of equations by graphing.
y =2/3x + 1 and y = -2/3x-1. Which graph shows the solution to Sylvie's system of equations?​

Answers

Answer:

The third graph is your answer.

Step-by-step explanation:

I included a graph below with the correct graphing.

Here is the photo if you can see it, but what is the equation and if anyone answers , whats the value of A?

Answers

Answer:

35-17

Step-by-step explanation:

Answer: A + 17 = 35

Step-by-step explanation:

Because both sections are equal to the same amount as 35.  

The rectangle for "a" plus the rectangle for 17 put together equal the same rectangle size as 35.

Can someone please help me with this

Answers

I think its B. 7

Its less than 15 and all the others.

Answer:

it b7

Step-by-step explanation:

The measurement of the supplement of an angle is 39 more than half the angle. find the measure of the angle and its complement​

Answers

Answer: 94, 86

Step-by-step explanation:

x + x/2 + 39 = 180

x + x/2 = 180 - 39

x = 94

Other angle is 180 - 94 = 86

5.
The total length of 2 pieces of rope is
108cm. If one piece is 18cm shorter, what is
the length of the longer piece?​

Answers

Answer:

63 cm

Step-by-step explanation:

piece 1: x

piece 2: x - 18

First you would subtract 2x - 18 = 108

Second you would add 108 + 18 = 2x

Third you would divide 126 divided by 2x = 63

So that would mean x = 63

Answer:

63cm

Step-by-step explanation:

2 pieces of rope, and one is shorter by 18cm.

piece 1: x

piece 2: x-18

Add the equations together, combine both pieces

2x-18

2x-18 = 108

108+18 = 2x

126 = 2x

x = 63


The sequence -11, -5, 1...... is an arithmetic
progression. State the three consecutive terms of
this arithmetic progression where the sum of
these three terms is 93.

Answers

Answer:

25, 31, 37

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10

-11 -5 1 7 13 19 25 31 37 43

6 6 6 6 6 6 6 6 6

25 + 31 + 37 = 93

At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays both a string and a brass instrument?

Answers

Answer:

0.09

Step-by-step explanation:

Total = 35+5+10+5 = 55

P(string&brass) = 5/55

= 1/11 = 0.09090909

Problem 10.084 An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 17 repairs were successful while for shorter tears, 22 of 31 repairs were successful. (a) Is there evidence that the success rate is greater for longer tears? Use alpha equals 0.05 . What is the Upper P -value?

Answers

Answer:

The p-value = 0.181186

The p-value is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Step-by-step explanation:

This is a two-sample hypothesis test as we want to test the whether the success rate for one group of tears is more than the other

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

For this question where we are testing if the success rate of longer tears is greater than the success rate of shorter tears,

The null hypothesis is that there is no significant difference in the success rate for the two types of tears. That is, there isn't enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

The alternative hypothesis is that there is enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

Mathematically, if the success rate of longer tears is p₁, success rate of repair of shorter tears is p₂. And the difference between the two success rates is μ = p₁ - p₂,

The null hypothesis is represented as

H₀: μ = 0 or p₁ = p₂

The alternative hypothesis is represented as

Hₐ: μ > 0 or p₁ > p₂

We then calculate the test statistic

The test statistic for two samples test is given as

t = (p₁ - p₂)/σ

σ = √{[p₁(1-p₁)/n₁] + [p₂(1-p₂)/n₂]}

p₁ = success rate of repair of longer tears = (14/17) = 0.8235

n₁ = 17

p₂ = success rate of repair of shorter tears = (22/31) = 0.7097

n₂ = 31

σ =

√{[0.8235(1-0.8235)/17] + [0.7097(1-0.7097)/31]}

σ = √[(0.8235×0.1765/17) + (0.7097×0.2903/31)]

= √(0.0085498676 + 0.0066459971)

= √0.0151958647 = 0.1232715081 = 0.1233

t = (p₁ - p₂)/σ

t = (0.8235 - 0.7097)/0.1233

t = 0.92

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 17 + 31 - 2 = 46

Significance level = 0.05

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 0.92, at 0.05 significance level, df = 46, with a one tailed condition) = 0.181186

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.181186

0.181186 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Hope this Helps!!!

En comsumo combustible de u camion durante un dia de viaje es el 21,77 litros ,el consumo del siguiente dia es de 15,22 litros¡cuanto combustible consumio el camion en total

Answers

Answer:

36.99 litros de combustible.

Step-by-step explanation:

En este problema debemos calcular el combustible total de consumió el camión, para eso debemos sumar el valor que consumió el día 1 más el valor que consumió el día 2, de la siguiente manera:

Consumo total = Consumo día 1 + Consumo día 2

Consumo total = 21.77 + 15.22

Consumo total = 36.99

Es decir que el consumo total del camión es de 36.99 litros de combustible.

Find the of this circle in terms of pi

Answers

Answer: π / 4

Step-by-step explanation:

Area of a circle = π x r^2

= π x 0.5^2

= π / 4

Answer:

A = 0.25 π m²

Step-by-step explanation:

Area = [tex]\pi r^2[/tex]

Where r = 0.5 m

A = (0.5)^2 × π

A = 0.25 π m²

ASAP HELP Which equation is equivalent to: 3r=90−5 ?
A. 3r+5=90
B. −3r=−90−5
C. −3r=90+5
D. 3r=90+5

Answers

Answer:

The answer is A.

This is because adding 5 to both sides of the original equation gives us A.

An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is equivalent equations?

"The equations that have the same answer or solution."

For given question,

We have been given an equation 3r = 90 - 5

We know that the addition property of equality which states that  when the same quantity is added to both sides of an equation, the equation does not change.

⇒ 3r = 90 - 5

Add 5 on the both the sides of the equations.

⇒ 3r + 5 = 90 - 5 + 5

⇒ 3r + 5 = 90 + 0

⇒ 3r + 5 = 90

Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90

The correct answer is an option (A)

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*WILL MARK BRAINLIEST* What solutions to the system of equations graphed below?

Answers

Answer:

(-2, 0) and (0, 4)

Step-by-step explanation:

The solutions are the intersection points. The graphs intersect at points (-2, 0) and (0, 4)

Use the equation Y = {/27x-54 +5.

Which is an equivalent equation of the form

y=avx-h+k

y=-273x + 2+5

y=-3x+2 +5

y=34x-2 +5

y=273/x-2 +5

Answers

Answer:

y= 34x- 2 +5 (C)

Step-by-step explanation:

The equation: y = 27x-54 +5

We are to determine an equivalent equation of the form y=avx -h+k from the options given.

From the above, av = two digit coefficient of x. Hence av is constant.

h and k are also constant.

Let's check out the option to find the equation that is in the form y=avx-h+k

a) y=-273x + 2+5

In this equation, the coefficient of x is a 3-digit number. The option is wrong.

b) y=-3x+2 +5

In this equation, the coefficient of x is a 1-digit number. The option is wrong.

c) y=34x -2 +5

In this equation, the coefficient of x is a 2-digit number.

av = 34, h= 2 and k = 5

This equation is in the form of y=avx -h+k

The option is correct.

d) y=273/x-2 +5

This equation is not in the form of y=avx -h+k

The option is wrong.

Answer:

c is correct for the first one

horizontal: 2 units right

vertical: 5 units up

stretch/compression: stretched by a factor of 3

reflection: not reflected

Step-by-step explanation:

leave a heart pls :)

8−4(−x+5) A: 4x-12 B: -4x- 12 C: 4x + 13 D: 4x + 5

Answers

Step-by-step explanation:

8-4(-x + 5)

8 + 4x - 20

4x - 12

Which of the binomials below is a factor of this trinomial?
X2-16x + 28
O A. x+7
O B. x2 + 7
O c. x+4
O D. X-14

Answers

Answer:

x-14

Step-by-step explanation:

The binomial which is a factor of this trinomial is (x- 14).

What is Trinomial?

An algebraic expression with three terms is called a trinomial.

Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.

Given:

p(x) = x²-16x + 28

If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.

factorizing p(x)

x²-16x + 28

= x²-14x + 2x + 28

= x( x- 14) + 2 (x+ 14)

= (x- 14)(x+ 2)

Hence, the binomial is (x- 14).

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-5(x - 1) = 2x - 7x + 5

Answers

Answer:

This is true! 1x=1

Step-by-step explanation:

So let's rewrite the question again.

-5(x - 1) = 2x - 7x + 5

So we will solve from left to right.

-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.

-5(x - 1) = -5x+5

2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.

2x - 7x + 5 = -5x+5

Now, here is the equation that we have so far.

-5x+5 = -5x+5

+5x        +5x

----------------------

5=5

-5 -5

0=0

So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:

All Real Numbers

WILL GIVE BRAINLIEST AND 20 POINTS IF ANSWERED FULLY AND CORRECTLY. Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61° angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89° for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course(geometry). a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given. b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other? c. What is the measure of the angle between the bikers? d. What is the relationship between the measure of the angles and the paths the bikers took? e. Classify the triangle the paths created. f. How many miles did they travel together?

Answers

Answer:

See below

Step-by-step explanation:

See attached for reference

The path has been created by bikers is almost a right triangle with sides of 12, 21 and 24 miles and angles of 61, 89 and 30 deg

a) Biker A travels a straight line (hypotenuse of triangle)

It is likely the bikers meet at the bottom point of the triangle

They make almost same displacement from the start point:

24 miles ≈ √12²+21² miles

b) they meet each other

c) 30 deg

d) e) as per picture attached, it is almost right triangle

f) Together they traveled 12+21+24= 57 miles

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