(1 point) The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80 % of its flights arriving on time. A test is conducted by randomly selecting 20 Southwest flights and observing whether they arrive on time.

Answer:

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A number is selected at random from each of the sets {2,3,4} and {1, 3, 5}.

The possible values for the sum are:

2 + 1 = 3

2 + 3 = 5

2 + 5 = 7

3 + 1 = 4

3 + 3 = 6

3 + 5 = 8

4 + 1 = 5

4 + 3 = 7

4 + 5 = 9

Find the probability that the sum of the two numbers is greater than 3 but less than 7?

​4 of the 9 sums are greater than 3 but less than 7. So

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

The diameter of the circle would be a line going through the center of the circle connecting to both sides.

The radius of a circle would be a line only going to the the center, or in other words, half the circle.

I hope this makes sense!

Answer:

8%

Step-by-step explanation:

Rate = 100×Interest ÷ Principal× Time

100× 2500/ 2500 × 8 = 800

800/100 = 8%

I hope this helps

Denote the sum by S. So

S = 5 + 11 + 17 + 23 + ... + 83

There's a constant difference of 6 between consecutive terms in S, so the 3 terms before 83 are 77, 71, and 65. So

S = 5 + 11 + 17 + 23 + ... + 65 + 71 + 77 + 83

Gauss's approach involves inverting the sum:

S = 83 + 77 + 71 + 65 + ... + 23 + 17 + 11 + 5

If we add terms in the same position in the sums, we get

2S = (5 + 83) + (11 + 77) + ... + (77 + 11) + (83 + 5)

and we notice that each grouped term on the right gives a total of 88. So the right side consists of several copies n of 88, which means

2S = 88n

and dividing both sides by 2 gives

S = 44n

Now it's a matter of determining how many copies get added. The terms in the sum form an arithmetic progression that follows the pattern

11 = 5 + 6

17 = 5 + 2*6

23 = 5 + 3*6

and so on, up to

83 = 5 + 13*6

so n = 13, which means the sum is S = 44*13 = 572.

Final answer:

To find the sum of the given arithmetic series, we can use Gauss's approach by finding the number of terms and then calculating the sum using the formula for the sum of an arithmetic series.

Explanation:

To find the sum of the given series, we can use Gauss's approach. The series is an arithmetic progression with a common difference of 6. We can find the number of terms in the series using the formula for the nth term of an arithmetic sequence and then use the formula for the sum of an arithmetic series to find the sum.

1. Find the number of terms (n):
   1. The first term (a) is 5, and the common difference (d) is 6.
   2. Find the last term (l) using the formula: l = a + (n - 1)d
   3. Substitute the values and solve for n: 83 = 5 + (n - 1)6
   4. Simplify and solve for n: n = 15
2. Find the sum (S):
   1. The formula for the sum of an arithmetic series is: S = (n/2)(a + l)
   2. Substitute the values and solve for S: S = (15/2)(5 + 83)
   3. Calculate the sum: S = 15(44)
   4. Simplify the sum: S = 660

Learn more about Gauss's here:

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Answer:

C

Step-by-step explanation:

Tip a positive number multiplied to a negative number is negative