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3 years ago

Kayla rolls a die 84 times. How many times can she expect to roll a 3?

Mathematics

1 answer:

Firdavs [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Assuming the die is 6 sided, there are only 6 possible rolls she can get. And assuming that this is a perfect world where probability is perfect, she will roll each number 14 times, because 84/6 is 14.

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Write an equation of the line with the given slope that contains the given point.

Alchen [17]

Answer:

$y=-2x+12$

Step-by-step explanation:

We can use the point-slope form given by:

$y-y_1=m(x-x_1)$

Where <em>m</em> is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for <em>m</em> and (5, 2) for (x₁, y₁). This gives us:

$y-(2)=-2(x-(5))$

Simplify:

$y-2=-2(x-5)$

Distribute:

$y-2=-2x+10$

Add 2 to both sides. Hence, our equation is:

$y=-2x+12$

3 0

3 years ago

The ratio of Boys to Girls in Mr. Asante Class is 2 to 3. There are 18 girls in the class. What is the total number of students

ladessa [460]

Answer:

Step-by-step explanation:

2/3 = x/18

2*18 = 3x

36 = 3x

x=12

so there are 12 boys

12+18=30

7 0

3 years ago

Last year the company realized $13,500,000 in operating income (EBIT). Its annual interest expense is $1,500,000. What was the c

Nikolay [14]

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7 0

3 years ago

Which expressions are equivalent to 2(b+3c)?

Rina8888 [55]

Answer:

B. (b+3c)+(b+3c)

C. 2(b)+2(3c)

Step-by-step explanation:

we have

$2(b+3c)$

Distribute the number 2

$2(b+3c)=2b+2(3c)=2b+6c$

Verify each case

case A) 3(b+2c)

distribute the number 3

$3(b+2c)=3b+3(2c)=3b+6c$

$3b+6c \neq 2b+6c$

therefore

Choice A is not equivalent to the given expression

case B) (b+3c)+(b+3c)

Combine like terms

$b+3c)+(b+3c)=(b+b)=(3c+3c)=2b+6c$

$2b+6c= 2b+6c$

therefore

Choice B is equivalent to the given expression

case C) 2(b)+2(3c)

Multiply both terns by 2

$2(b)+2(3c)=2b+6c$

$2b+6c= 2b+6c$

therefore

Choice C is equivalent to the given expression

6 0

3 years ago

Read 2 more answers

Use the standard normal distribution to find P(-1.23 Sz<2.12).

matrenka [14]

Answer:

(d) 0.8736

Step-by-step explanation:

Unless you have a table of the normal distribution available, this is a calculator problem. Your calculator, or any spreadsheet, can tell you the probability is ...

P(-1.23 ≤ z ≤ 2.12) ≈ 0.8736

5 0

2 years ago