Answer:
Step-by-step explanation:
One equivalent expression is 7^6: 7 is used as a multiplicand 7 times.
Another equivalent expression would be (7^2)(7^5). Note that 2 and 5 add up to 7.
Answer:
56.52 in
Step-by-step explanation:
- 2πr = C
- 2 × 3.14 × 9 = C
- 2 × 3.14 = 6.28
- 6.28 × 9 = 56.52 in
I hope this helps!
Answer:
Pairs (2,4), (4,8) and (5,10) makes the equation y=2x true
Step-by-step explanation:
By using the equation y=2x, eval the following points (gathered from the attached picture)
1. (2,4) which leaves us 4=2*2
2. (4,8) which leaves us 8=4*2
3. (5,10) which leaves us 10=5*2
All points from this graph satisfies the equation y=2x
Answer:
0.430625 = 0.431
Step-by-step explanation:
Let W represent winning, D represent a draw and L represent a loss.
12+ points can be garnered in each of the following ways.
6W 0D 0L
5W 1D 0L
5W 0D 1L
4W 2D 0L
4W 1D 1L
4W 0D 2L
3W 3D 0L
The probability of getting 12+ points is the sum of all these 7 probabilities.
Knowing that P(W) = 0.5
P(D) = 0.1
P(L) = 0.4
P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625
P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875
P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075
P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375
P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075
P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15
P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025
The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625
Answer:
x=14
y=140
Step-by-step explanation:
Using (9x+14) + (3x-2) = 180, we can solve this equation.
First add like values giving you 12x+12=180. Then subtract 12 from both sides giving you 12x=168.
Then divide both sides by 12 giving you x=14.
Finally, just simply set 9x+14 equal to y and substitute x for 14. This gives you 140=y
Hope this helped
