Answer:
Its arithmetic because it's being added 3 each time.
<span>3(2y - 4) = 8y + 9 - 9y
Distribute 3:
6y - 12 = 8y + 9 - 9y
Combine like terms:
6y - 12 = -y + 9
Add y to both sides:
7y - 12 = 9
Add 12 to both sides:
7y = 21
Divide both sides by 3:
y = 3</span>
Answer:
Total of the frequency = The last values of the cumulative frequency (c.f) = 100
Step-by-step explanation:
From the frequency distribution table given in the question, the cumulative frequency (c.f) can be computed by adding each frequency to the sum or total of the preceding frequencies. This makes the last value of the cumulative frequency (c.f) to be equal to the total of the frequency.
Based on this explanation, we have:
<u>mass </u><em><u>m</u></em><u> (kg) </u> <u> frequency </u> <u> mass </u><em><u>m</u></em><u> (kg) </u> <u> c.f </u>
0 < <em>m</em> ≤ 0.1 2 <em> m</em> ≤ 0.1 2
0.1 <<em> m</em> ≤ 0.2 7 <em>m</em> ≤ 0.2 9
0.2 < <em>m</em> ≤ 0.5 32 <em>m</em> ≤ 0.5 41
0.5 < <em>m</em> ≤ 0.8 46 <em>m</em> ≤ 0.8 87
0.8 <<em> m</em> ≤ 1 13 <em>m</em> ≤ 1 100
From the above, we can observe that:
Total of the frequency = 2 + 7 + 32 + 46 + 13 = 100
The last values of the cumulative frequency (c.f) = 100
Therefore, we have:
Total of the frequency = The last values of the cumulative frequency (c.f) = 100
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
Answer:
Tan B = 15 / 8
Step-by-step explanation:
Giveb the triangle :
The hypotenus :
Using Pythagoras rule :
Hypotenus² = 15² + 8²
Hypotenus² = 225 + 64
Hypotenus = 17
Tan B:
Using the trigonometric relation :
Tan B = opposite / Adjacent
Tan B = 15 / 8