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2 years ago

If you roll two fair dice (one black die and one white die), in how many ways can you obtain a sum of at most 11?

Mathematics

2 answers:

GuDViN [60]2 years ago

7 0

There are 35 different combinations

zheka24 [161]2 years ago

6 0

There are 35 different combinations

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Which fraction is<br> equivalent to 1/8

Law Incorporation [45]

The equivalent fractions are 2/16 8/64

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2 years ago

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What is the standard deviation of the following data set?

tia_tia [17]

Answer:

D. 14.32

Step-by-step explanation:

The formula for standard deviation is:

$SD = \sqrt{\frac{\sum | x-\mu|^2}{N}}$

The mean μ is 33.

The (x minus μ) squared are 361, 49, 49, 361 respectively.

So that the SD = $\sqrt{\frac{820}{4}} \approx 14.31782...$

4 0

2 years ago

Find the product of -9 and -3.

MAXImum [283]

The answer is -9(-3)= 27

5 0

2 years ago

Work out the value of z, given that x+y=42 and x/13=y/8=z/9.

Andru [333]

Answer:

z = 18

x = 26 and y = 16

Step-by-step explanation:

Given:

$x + y = 42$

$\dfrac{x}{13}=\dfrac{y}{8}=\dfrac{z}{9}$

Rewrite $x + y = 42$ to make $y$ the subject:

$\implies y=42-x$

Substitute this into $\dfrac{x}{13}=\dfrac{y}{8}$ :

$\implies \dfrac{x}{13}=\dfrac{42-x}{8}$

Cross multiply:

$\implies 8x=13(42-x)$

$\implies 8x=546-13x$

$\implies 21x=546$

$\implies x=26$

Substitute found value of x into $x + y = 42$ and solve for y:

$\implies 26 + y = 42$

$\implies y=16$

Substitute found value of y into $\dfrac{y}{8}=\dfrac{z}{9}$ and solve for z:

$\implies \dfrac{16}{8}=\dfrac{z}{9}\\\\\implies 2=\dfrac{z}{9}\\\\\implies 18=z$

4 0

2 years ago

The area of a rectangular playground is 16 square yards. the length of the playground is 4 times longer than its width. find the

OLga [1]

W= width
l= length= 4w

Area= lw
16 square yards= lw
substitute l=4w for l
16= (4w)(w)
16= 4w^2
divide both sides by 4
4= w^2
take the square root of 4
2 yards= w

LENGTH
l=4w
l=4(2)
l=8 yards

CHECK:
16= (8)(2)
16= 16

ANSWER: The length is 8 yards and the width is 2 yards.

Hope this helps! :)

8 0

3 years ago

If you roll two fair dice​ (one black die and one white​ die), in how many ways can you obtain a sum of at most 11?

If you roll two fair dice (one black die and one white die), in how many ways can you obtain a sum of at most 11?