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IgorC [24]
3 years ago
9

HELP MATH ASAP! MARKING BRANLIST

Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

-4/3

Step-by-step explanation:

Use the slope formula:

\frac{y2-y1}{x2-x2}

-4 - 12/ 13 - 1

-16/12

Simplifies to -4/3

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Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 9
sweet-ann [11.9K]

Answer: 1) 6300 ways

2) 2520 ways

3) 0.067

Step-by-step explanation:

For this problem, assume 9 males audition, one of them being Winston, 5 females audition, one of them being Julia, and 6 children audition. The casting director has 3 male roles available, 1 female role available, and 2 child roles available.

How many different ways can these roles be filled from these auditioners?

Available: 9M and  5F and 6C

Cast: 3M and 1F and  2C

As it is not ordered: C₉,₃ * C₅,₁ * C₆,₂

C₉,₃ = 9!/3!.6! = 84

C₅,₁ = 5!/1!.4! = 5

C₆,₂ = 6!/2!.4! = 15

C₉,₃ * C₅,₁ * C₆,₂ = 84.5.15 = 6300

How many different ways can these roles be filled if exactly one of Winston and Julia gets a part?

2 options Winston gets or Julia gets it:

1) Winston gets it but Julia no:

8 male for 2 spots

4 females for 1 spot

6 children for 2 spots

C₈,₂ * C₄,₁ * C₆,₂

C₈,₂ = = 8!/2!.6! = 28

C₄,₁ = 4!/1!.3! = 4

C₆,₂ = 6!/2!.4! = 15

C₈,₂ * C₄,₁ * C₆,₂ = 28.4.15 = 1680

2) Julia gets it but Winston does not

8 male for 3 spots

1 female for 1 spot

6 children for 2 spots

C₈,₃ * C₆,₂

C₈,₃ = 8!/3!.5! = 56

C₆,₂ = 6!/2!.4! = 15

C₉,₃ * C₆,₂ = 56.15 = 840

1) or 2) = 1) + 2) = 1680 + 840 = 2520

What is the probability (if the roles are filled at random) of both Winston and Julia getting a part?

8 male for 2 spots

1 female for 1 spot

6 children for 2 spots

C₈,₂ * C₆,₂

C₈,₂ = = 8!/2!.6! = 28

C₆,₂ = 6!/2!.4! = 15

C₈,₂ * C₆,₂ = 28.15 = 420

p = 420/6300 = 0.067

6 0
3 years ago
3(x-4) = x + 14<br> How do you solve this equation
Dmitry_Shevchenko [17]

Answer:

x=13

Step-by-step explanation:

you have to isolate the variable

3(x-4)=x+14

distribute

3x-12=x+14

subtract 14 from each side

3x-26=x

subtract 3x from each side

-26=-2x

divide each side by -2

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flip sides

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hope this helps!!! :)

4 0
3 years ago
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What is the slope of a line parallel to the line whose equation is
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Answer:

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Step-by-step explanation:

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y = 3x + 18 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

slope of parallel line is 3

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Which group was charged the highest rates by the railroads during the late 19th century?
Nutka1998 [239]
The correct answer is D
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Which is an exponential decay function
Pani-rosa [81]

Answer:

Letter A is your answer

Step-by-step explanation:

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