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Stella [2.4K]
3 years ago
9

Grant is rolling a standard six sided number die eight times. how many outcomes are possible

Mathematics
2 answers:
Anastaziya [24]3 years ago
5 0

We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.

Grant is rolling six sided number die. Hence, we can say that

Number of outcomes if rolled once = 6

Number of outcomes if rolled twice = 6\times 6= 6^2

Number of outcomes if rolled thrice= 6\times 6 \times 6= 6^3

We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.

Hence, if rolled 8 times then we have an exponent 8 on 6.

Therefore, the possible number of outcomes should be 6^8= 1679616

Hence, the number of possible outcomes is 1679616

leonid [27]3 years ago
3 0
There are 1679616 possible outcomes.

There are 6 possible outcomes for each roll; 6^8 = 1679616
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The triangles shown below must be congruent.
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Yes the triangles are congurant.

Step-by-step explanation:

Because if you can see up and down triangles this means they are congurent.

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They have a scale factor of 2

They are both the same shape

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5 0
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Solve the system of equations.in this form: (x, y)<br><br> -5y + 8x = -18<br><br> 5y + 2x = 58
Gre4nikov [31]
If we add the equations it looks like
-5y + 8x + 5y + 2x = -18+58
so 10x=40
so x=40/10=4
now let's replace x by 4 in the second equation
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5 0
3 years ago
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8x−5x+4−x=Ax+8. Anyone know
lora16 [44]

Answer:

a = \frac{2x-4}{x}

x = \frac{4}{-a+2}

Step-by-step explanation:

Let's solve for a.

8x−5x+4−x=ax+8

Step 1: Flip the equation.

ax+8=2x+4

Step 2: Add -8 to both sides.

ax+8+−8=2x+4+−8

ax=2x−4

Step 3: Divide both sides by x.

Let's solve for x.

8x−5x+4−x=ax+8

Step 1: Add -ax to both sides.

2x+4+−ax=ax+8+−ax

−ax+2x+4=8

Step 2: Add -4 to both sides.

−ax+2x+4+−4=8+−4

−ax+2x=4

Step 3: Factor out variable x.

x(−a+2)=4

Step 4: Divide both sides by -a+2.

Hope this helps!

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2 years ago
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Answer:

p(x) = 7x - 20

Step-by-step explanation:

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In this case the revenue function is r(x) = 12x; the cost function is c(x) = 5x + 20, and the profit function is p(x) = 12x - (5x + 20), or:

p(x) = 12x - 5x - 20, or

p(x) = 7x - 20

4 0
3 years ago
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