If I'm not mistaken, the correct answer would be C: =. Hope this helps :D
Answer:
7.5 miles
Step-by-step explanation:
2.5 times 3
hope this can help you :-P
Answer:
As a rule of thumb, it is usual to define discrete data in 5 to 10 groups or bins. When graphed, the height of each group or bin defines the frequency for the group or bin.
Explanation:
When discrete data is graphed into a histogram, it defines a frequency distribution. Because information becomes lost when too many groups or bins are used, it is customary to use 5 to 10 bins.
Example:
Consider the following random data which has a sample size of 16.
x = [1, 3, 6, 2, 9, 8, 4, 5, 10, 3, 5, 4, 3, 5, 7, 5]
When fewer groups or bins are used to construct the histogram, the centralized nature of the distribution is easy to discern.
As the number of bins increases, the distribution becomes more difficult to define.
19) The sum of the <em>arithmetic</em> series is - 397. (Correct choice: E)
33) The sum of the <em>geometric</em> series is 1700. (Correct choice: E)
<h3>How to determine the sum of a given series</h3>
19) <em>Arithmetic</em> series are sets of elements generated by a <em>linear</em> expression of the form:
aₙ = a₁ + (n - 1) · d (1)
Where:
- aₙ - n-th term of the series
- a₁ - First term of the series
- n - Index of the n-th term of the series.
- d - Change between two consecutive elements of the series.
If we know that a₁ = 27, n = 20 and d = - 5, then sum of the first 20 terms of the series is:
x = 27 + 22 + 17 + 12 + 7 + 2 + (- 3) + (- 8) + (- 13) + (- 18) + (- 23) + (- 28) + (- 33) + (- 38) + (- 43) + (- 48) + (- 53) + (- 58) + (- 63) + (- 68)
x = - 397
The sum of the <em>arithmetic</em> series is - 397. (Correct choice: E)
33) <em>Geometric</em> series are sets of elements generated by a <em>exponential</em> expression of the form:
aₙ = a₁ · rⁿ (2)
Where:
- aₙ - n-th term of the series
- a₁ - First term of the series
- r - Ratio between two consecutive elements of the series.
If we know that a₁ = 1458 and r = 1 / 3, then the sum of the first 6 terms of the geometric series is:
x = 1458 + 162 + 54 + 18 + 6 + 2
x = 1700
The sum of the <em>geometric</em> series is 1700. (Correct choice: E)
To learn more on geometric series: brainly.com/question/4617980
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1. y - y₁ = m(x - x₁)
y - (-7) = 6(x - (-8))
y + 7 = 6(x + 8)
y + 7 = 6(x) + 6(8)
y + 7 = 6x + 48
<u> - 7 - 7</u>
y = 6x + 41
2. <u>y₂ - y₁</u> = <u>-8 - (-3)</u> = <u>-8</u><u> + 3</u> = <u>-5</u> = -1²/₃
x₂ - x₁ -1 - (-4) -1 + 4 3
3. 2x - 3y = 11
<u>3x + 3y = 9</u>
<u>5x</u> = <u>20</u>
5 5
x = 4
2x - 3y = 11
2(4) - 3y = 11
8 - 3y = 11
<u>- 8 - 8</u>
<u>-3y</u> = <u>3</u>
-3 -3
y = -1
(x, y) = (4, -1)
4. 2x - 5y = -7 ⇒ -6x + 15y = 21
5x - 3y = 11 ⇒ <u>-25x + 15y = -55</u>
<u>19x</u> = <u>76</u>
19 19
x = 4
2x - 5y = -7
2(4) - 5y = -7
8 - 5y = -7
<u>- 8 - 8</u>
<u>-5y</u> = <u>-15</u>
-5 -5
y = 3
(x, y) = (4, 3)
5. 4.9 × 10¹¹, 8.9 × 10¹⁸, 1.3 × 10⁸, 6.7 × 10⁸, 2.7 × 10⁸
<u>1.3 × 10³</u>, 2.7 × 10⁸, 6.7 × 10⁸, 4.9 × 10¹¹, <u>8.9 × 10¹⁸</u>
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