The following probabilities are based on data collected from U.S. adults. Individuals are placed into a weight category based on
1 answer:
Answer:
<em>The probability that a randomly selected U.S. adult is not underweight is 0.979</em>
Step-by-step explanation:
<u>Probability Distribution</u>
Four events were measured and their probabilities computed as follow
Please note the sum of the probabilities is 1, thus the distribution is correctly expressed. We want to compute the probability that a randomly selected U.S. adult is not underweight.
Knowing the adult doesn't belong to the underweight category, then they must belong to any of the other categories, thus the probability is the sum of their individual probabilities or (easily computed), the total probability minus the underweight probability:
The probability that a randomly selected U.S. adult is not underweight is 0.979
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Answer:
Part A: The graph of the system is plotted at y-intercepts of 3 and -4. The line of the first equation is dashed and shaded below. The line of the second equation is dashed and shaded above. The solution area is between the second and third quadrants.
Part B: No, the point (-4, 6) is not in the solution are because it only fits into the first equations solution area. [6=2(-4)+3 solved is 6=-5, this is not a true statement.]
Step-by-step explanation:
Part A: Each equation {y>2x+3, y<-3/2x-4} is already in slope intercept form and can be graphed. In the first equation we know that there is a y-intercept of 3 and a slope of 2. This is shown as as a upward moving line with plot points such as (-2,-1), (-1,1), (0,4), (1,6), and so on. In the second equation we know that there is a y-intercept of -4 and a slope of -3/2. This is shown as a downward moving line with plot points such as (0,-4), (-2,-1), (-4, 2), and so on. (See graph below)
Part B: The plot point (-4, 6) is not included in the solution area of the systems. This can be seen on the graph. And, proven mathematically by plugging in the point into the equations:
- y=2x+3 plug in the points (6)=2(-4)+3
- solve (6)=2(-4)+3 ... 2(-4)=-8 ... -8+3=-5 ... 6 = -5 is not a true statement
So, already we know that this plot point is not an answer to the system. Let's continue anyway.
- y=-3/2x-4 plug in the points (6)=-3/2(-4)-4
- solve (6)=-3/2(-4)-4 ... -3/2(-4)= 6 ... 6-4 = 2 ... 6=2 is not a true statement.
Answer:
174.8 guppies.g/week
Step-by-step explanation:
B(t) = N(t)M(t)
Utilizing the product rule of derivative
Applying the rule to B(t) = N(t)M(t)
from the question
t=4 weeks, N(4) = 820 guppies
d(N(4))/dt = 50 guppies/week
m(4) = 1.2g
d(M(4))/dt = 0.14g/week