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Dahasolnce [82]

4 years ago

15

How can we use a standard cube for simulations that involve 2 equal outcomes ?

1 answer:

Nesterboy [21]4 years ago

3 0

A standard cube has 6 faces, and 6 divided by 2,3, or 6. So you can divide the 6 faces into 2,3, or 6 sets with equal numbers of faces in each set. then each set has an equal probability

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In a school, the ratio of boys to girls is 4:3. There are 216 boys. How many girls are there?

tankabanditka [31]

Answer:

162

Step-by-step explanation:

Divide 216 by 4

Then multiply 3 times

That's the answer

5 0

3 years ago

A line has y intercept -6 and a x-intercept - 12. what is the equation of the line

koban [17]

Answer:

$\boxed{y = -\dfrac{1}{2}x-6}}$

Step-by-step explanation:

The equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (-12, 0) and (0, 6)

(a) Calculate the slope of the line

$\begin{array}{rcl}m & =&\dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = &\dfrac{6 - 0 }{0 - (-12)}\\\\& = &\dfrac{6}{-12}\\\\& = & -\dfrac{1}{2}\\\end{array}$

(b) Write the equation

The y-intercept is at x = -6.

$\text{The equation for the line is $\boxed{\mathbf{y = -\dfrac{1}{2}x-6}}$}$

The diagram shows the graph of the line passing through the two intercepts.

5 0

3 years ago

Which number needs to be added to the table to keep it proportional?

Paraphin [41]

20 because it is counting by fives (5,10,15,20) and 5x4=20

4 0

3 years ago

Mike decided to sell all of his old books he gathered up 9 books to sell he sold 2 books in a yard sale how many books does mike

Arlecino [84]

Answer: He has 7 books.

Step-by-step explanation:

9 - 2 = 7

8 0

3 years ago

Read 2 more answers

Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo

Ipatiy [6.2K]

Answer:

$a_n = -11-14n$

Step-by-step explanation:

Given

$a_1 = -25$

$a_n = a_{n-1}-14$

Required

The explicit formula

First, calculate $a_2$

Set n=2; So:

$a_2 = a_{2-1}-14$

$a_2 = a_{1}-14$

Substitute -25 for $a_1$

$a_2 = -25-14$

$a_2 = -39$

Calculate the common difference (d)

$d = a_2 - a_1$

$d = -39 --25$

$d = -14$

So, the nth term is:

$a_n = a_1 + (n - 1)d$

$a_n = -25+ (n - 1)*-14$

Open bracket

$a_n = -25-14n + 14$

Collect like terms

$a_n = 14-25-14n$

$a_n = -11-14n$

4 0

3 years ago