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AleksandrR [38]

3 years ago

11

You and your friend are rolling number cubes. Each cube has 6 sides with the numbers 1 to 6. If a sum of 7 is rolled, your frien

d gets 1 point. If a 2, 3 or 5, you get 1 point.
After 108 rolls each, what scores should you expect?

1 answer:

kap26 [50]3 years ago

4 0

Answer:

Friend: 18; you: 54

Because you have much bigger chance

hope it helps please mark me as brainliest

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Is 3, 1, 1/3, 1/9,... a geometric sequence?

barxatty [35]

$a_1;\ a_2;\ a_3;\ a_3;\ ...;\ a_n;\ a_{n+1};...\ is\ a\ geometric\ sequence\\if\ a_{n+1}:a_n=const.\\-------------------\\a_1=3;\ a_2=1;\ a_3=\dfrac{1}{3};\ a_4=\dfrac{1}{9}\\\\a_4:a_3=\dfrac{1}{9}:\dfrac{1}{3}=\dfrac{1}{9}\cdot\dfrac{3}{1}=\dfrac{1}{3}\\\\a_3:a_2=\dfrac{1}{3}:1=\dfrac{1}{3}\\\\a_2:a_1=1:3=\dfrac{1}{3}\\\\Answer:Yes.\ It's\ the\ geometric\ sequence.$

7 0

3 years ago

A line includes the points (10,-5) and (-10,-1). What is the equation in slope intercept form?

Elodia [21]

$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{-10}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{-10-10}\implies \cfrac{-1+5}{-20}\implies \cfrac{4}{-20}\implies -\cfrac{1}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-5)=-\cfrac{1}{5}(x-10) \\\\\\ y+5=-\cfrac{1}{5}x+2\implies y=-\cfrac{1}{5}x-3$

8 0

3 years ago

the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards

Bas_tet [7]

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)

6 0

3 years ago

A line with a slope of - 8 passes through the points ( - 1, z) and ( - 2, 7). What is the value of z?

ikadub [295]

Answer:

z = -1

Step-by-step explanation:

7 - z / -2 - (-1)

7 - z / -2+1

7 - z / -1

-7 +z = -8

z = -1

to check the work

(-1,-1) (-2,7)

7 + 1 / -2 + 1

8 / -1

= -8

4 0

3 years ago

What is the value of x in the equation<br> 4z +16<br> 12<br> = х - 4?

Serhud [2]

<h3>Solution:</h3>

$\frac{4x + 16}{12} = x - 4 \\ = > 4x + 16 = 12(x - 4) \\ = > 4x + 16 = 12x - 48 \\ = > 16 + 48 = 12x - 4x \\ = > 64 = 8x \\ = > x = \frac{64}{8} \\ = > x = 8$

<h3>Answer:</h3>

x = 8

7 0

3 years ago