An airplane flying at a speed of 950 kilometers per hour would take 0.0010526 hours to travel 1.00 kilometer.
The expression at hand is:
(-4a ^ -2 b ^ 4) / (8a ^ -6b ^ -3)
Using the laws of exponents, we can transform this expression.
This leads to:
(-4/8) * ((a ^ (- 2 - (- 6))) (b ^ (4 - (- 3))))
Rearranging gives us:
(-2/4) * ((a ^ (- 2 + 6)) (b ^ (4 + 3)))
(-1/2) * ((a ^ 4) (b ^ 7))
-1 / 2a ^ 4b ^ 7
Final Answer:
The exponent for b in Marina's simplification must be 7
Pr(X>1540.2) = 0.0655. Step-by-step explanation: The expected value indicated for the large bottle is E(Large) = 1016, and for the small bottle, E(small) = 510. This leads to an expected total E(total) = 1016 + 510 = 1526. The new mean calculated is thus 1526. To find the standard deviation, we derive the variance of each bottle. The variance for the large bottle is v(large) = 8^2 = 64, while for the small bottle it's v(small) = 5^2 = 25. Hence, the total variance is v(total) = 64+25 = 89, resulting in a new standard deviation sd(new) = sqrt(89) = 9.434. To find the probability, we compute using the new mean and standard deviation. The z score is derived as z = (x - mean)/sd = (1540.2 - 1526)/9.434 = 1.505. Looking up this z score gives P(z<1.51) = 0.9345. Consequently, for x > 1540.2, we have P(z > 1.51) = 1 - 0.9345 = 0.0655.
Purchasing the first 10 bricks at $4.50 each totals $45. The subsequent 10 bricks at $3.50 each add $35. This uses $80, leaving $20 to buy bricks priced at $2.50 each, allowing for 8 more bricks. Altogether, $100 can buy 28 bricks.
1 1
2 3
3 6
4 10
5 15
6 21
7 28
8 36
9 45
10 55
11 66
12 78
13 91
14 105
15 120
16 136
17 153
18 171
19 190
20 210
21 231
22 253
23 276
24 300
Here’s a chart to aid in understanding the staircase issue. Observe that for 1 step, there is 1 block; for 2 steps, 3 blocks; for 3 steps, 6 blocks, and so forth. Note that the blocks corresponding to each step are a combination of that step and all the blocks used in the steps beneath it. For instance, constructing 14 steps requires 105 blocks.
If you’re familiar with summation, you would sum the blocks for each step with all the steps below it. For example, 5 steps would require 5 + 4 + 3 + 2 + 1, resulting in a total of 15 blocks. I hope this helps you begin. As for the second part, I'm confused by the problems since they don't represent equations. NO equal signs
glad if it helps
