It doesn't matter improper fractions are aloud
Answer:



Step-by-step explanation:
Given
Let
A = Event of being a universal donor.
So:


Solving (a): Mean and Standard deviation.
The mean is:



The standard deviation is:




Solving (b): P(x = 3)
The event is a binomial event an dthe probability is calculated as:

So, we have:




Answer: 19 minutes
Step-by-step explanation:
Here is the complete question:
takes Andrew 720 seconds to take a shower. He spends an additional 420 seconds eating breakfast.
How many minutes does it take Andrew to take a shower and eat breakfast?
From the question, we are told that Andrew spends 720 seconds to take a shower and also spends an additional 420 seconds eating breakfast. The total time spent by Andrew will be:
= 720 seconds + 420 seconds
= 1140 seconds
We will then convert 1140 seconds to minutes. We should note that 60 seconds = 1 minute. Therefore,
1140 seconds = 1140/60
= 19 minutes
Andrew uses 19 minutes to take a shower and eat breakfast.
Answer:
<h3>
f(x) = 2(x - 6)² - 3 </h3>
Step-by-step explanation:
f(x) = a(x - h)² + k ← vertex form of parabola equation with vertex (h, k)
So:
f(x) = a(x - 6)² + (-3)
f(x) = a(x - 6)² - 3 ← vertex form of our parabola equation
Parabola goes through (8, 5) so if x=8 then f(x)=5
5 = a(8-6)² - 3
5 +3 = a(2)² - 3 +3
8 = 4a
a = 2
That means, the equation of a parabola with vertex (6, -3) and passing through the point (8, 5):
f(x) = 2(x - 6)² - 3
Answer: Found it by web and solving
Step-by-step explanation: L = W + 4
LW = 60
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LW = 60
(W + 4)W = 60
W^2 + 4W + (-60) = 0
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above is in quadratic equation form: ax^2 + bx + c = 0
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use the quadratic formula to solve for two solutions:
x = ( -b +- sqrt( bb - 4ac ) ) / 2a
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the two solutions are:
W = 6
W = -10
the negative solution doesn't make sense for length, so use the positive solution.
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L = 10
W = 6