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Afina-wow [57]
3 years ago
13

What is the maximum recommended slope for straight-run stair?

Mathematics
1 answer:
cluponka [151]3 years ago
5 0
D 10” riser , 7-1/2 treas
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The coefficient in (4x-2) is the -2
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Whats the output when the input is 1234n and the output is 10 12 14 16.
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Answer:

y=2x+8

Step-by-step explanation:

Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.

(1,10) and (2,12)

To find the slope, we do:

\frac{12 - 10}{2 - 1}

Which equals to 2

So right now we can say that the equation is:

y=2x+b

In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:

10=2(1)+b

10=2+b

8=b

So now we can say that the equation is:

y=2x+8

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3 years ago
Jill has 12 books. She thinks that if she gives away 4 books, she will have 8 books left. Which addition sentence can she use to
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Answer:

8+4

Step-by-step explanation:

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3 years ago
You are laying an asphalt driveway. How much surface area must you cover if the driveway is 19 feet long and 10.5 feet wide?
Scorpion4ik [409]

Assuming that your driveway is rectangular, just mult. the length and width together to get the area:

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C is the correct answer choice.


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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
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