Perpendicular lines have slopes that are opposite signs and reciprocals.
Example: If one line has a slope of 5/3, then the perpendicular slope is -3/5.
In your case, your first line has a slope of -1/5. The perpendicular slope will be positive and will be 5/1.
The slope of a line perpendicular to the given one is 5.
Answer:
mean = 1 power failure
variance = 1 (power failure)²
Step-by-step explanation:
Since the mean is computed as
mean = E(x) = ∑ x * p(x) for all x
then for the random variable x=power failures , we have
mean = ∑ x * p(x) = 0 * 0.4 + 1* 0.3 + 2*0.2 + 3* 0.1 = 1 power failure
since the variance can be calculated through
variance = ∑[x-E(x)]² * p(x) for all x
but easily in this way
variance = E(x²) - [E(x)]² , then
E(x²) = ∑ x² * p(x) = 0² * 0.4 + 1²* 0.3 + 2²*0.2 + 3²* 0.1 = 2 power failure²
then
variance = 2 power failure² - (1 power failure)² = 1 power failure²
therefore
mean = 1 power failure
variance = 1 power failure²
The correct Answer Is NO SOLUTION
The ratio from tomatoes to pepper plants is 5:2
Meaning there are 5 tomatoes and 2 pepper plants
In order to find a ratio where there are 6 more tomatoes than pepper plants you will have to multiply.
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When the ratio 5:2 is multiplied by 2
it equals 10:4
We can stop here because it is shown that now there are 6 more tomatoes than pepper plants.
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So there are:
10 tomatoes
and
4 pepper plants!
