First Method (Distributive Property)
(2m - 5m) (-5)
Rearrange the equation to make it easier.
(-5) (2m - 5m)
In distributive property, it's all about multiplying. The -5 goes to the 2m and the 5m. Like this: (-5 • 2m) - (-5 • 5m).
-10m + 25m
15m
Second Method
(2m - 5m) (-5)
Since 2m and 5m have the same variable, we can subtract them.
(-3m) (-5)
Multiply.
15m
15m is your answer. I hope this helps!
Answer:
(a). <em>y = 3x - 11 ;</em> (b). <em>y = </em>
<em> x - 1 </em>
Step-by-step explanation:
Parallel lines have the same slopes
Slopes of perpendicular lines are opposite reciprocals.
(3, - 2)
The slope of given line is 3
<em>(a)</em>. Equation of ║ line is
y + 2 = 3(x - 3)
<em>y = 3x - 11</em>
<em>(b).</em> Slope of perpendicular line is
y + 2 = (x - 3)
<em>y = </em><em> x - 1</em>
Answer:
P(≥ 7 males) = 0.0548
Step-by-step explanation:
This is a binomial probability distribution problem.
We are told that Before 1918;
P(male) = 40% = 0.4
P(female) = 60% = 0.6
n = 10
Thus;probability that 7 or more were male is;
P(≥ 7 males) = P(7) + P(8) + P(9) + P(10)
Now, binomial probability formula is;
P(x) = [n!/((n - x)! × x!)] × p^(x) × q^(n - x)
Now, p = 0.4 and q = 0.6.
Also, n = 10
Thus;
P(7) = [10!/((10 - 7)! × 7!)] × 0.4^(7) × 0.6^(10 - 7)
P(7) = 0.0425
P(8) = [10!/((10 - 8)! × 8!)] × 0.4^(8) × 0.6^(10 - 8)
P(8) = 0.0106
P(9) = [10!/((10 - 9)! × 9!)] × 0.4^(9) × 0.6^(10 - 9)
P(9) = 0.0016
P(10) = [10!/((10 - 10)! × 10!)] × 0.4^(10) × 0.6^(10 - 10)
P(10) = 0.0001
Thus;
P(≥ 7 males) = 0.0425 + 0.0106 + 0.0016 + 0.0001 = 0.0548
Answer:
5. 
Step-by-step explanation:
==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Initial: 10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
--
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
--
Let's try our equation.
*Edit: I just seen that the question is related to the picture question
Answer:
7/20
Step-by-step explanation:
