edwardo wants to find the height of a building using the sun, his height, and similar triangles. He goes out during his noon lun
ch break and comes in with a number he claims is the height of the building. What should you say to him?
1 answer:
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Answer:
a) There is a 62.29% probability that at least one of the five does not have the Rh factor.
b) There is a 22.36% probability that at most four of the six have Rh+ blood.
c) There need to be at least 8 people to have the probability of obtaining blood from at least six Rh+ donors over 0.95.
Step-by-step explanation:
For each person donating blood, there are only two possible outcomes. Either they have Rh+ blood, or they do not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
.
a) fine the probability that at least one of the five does not have the Rh factor.
Either all six have the factor, or at least one of them do not. The sum of the probabilities of these events is decimal 1. So:
In which:
So
There is a 62.29% probability that at least one of the five does not have the Rh factor.
b) find the probability that at most four of the six have Rh+ blood.
Either more than four have Rh+ blood, or at most four have. So
In which
There is a 22.36% probability that at most four of the six have Rh+ blood.
c) The clinic needs six Rh+ donors on a certain day. How many people must donate blood to have the probability of obtaining blood from at least six Rh+ donors over 0.95?
With 6 donors:
37.71% probability of obtaining blood from at least six Rh+ donors over 0.95.
With 7 donors:
0.3771 + 0.3960 = 0.7764 = 77.64% probability of obtaining blood from at least six Rh+ donors over 0.95.
With 8 donors
0.3771 + 0.3960 + 0.2376 = 1.01 = 101% probability of obtaining blood from at least six Rh+ donors over 0.95.
There need to be at least 8 people to have the probability of obtaining blood from at least six Rh+ donors over 0.95.
Answer: Angle A = 60°, angle B = 120°, angle C = 60°, angle D = 120°
Step-by-step explanation: Please refer to the attached diagram for further details.
The question has given the parallelogram ABCD as having side AB measuring 6 units, side AK measuring 3 units and line BK has been drawn perpendicular to line AD. This means line AK forms a right angle at the point where it meets line AD. From the information provided and the figure derived from that, we have right angled triangle ABK with the right angle at point K, line AB equals 6 units and line AK equals 3 units.
Using angle A as the reference angle, line AK is the opposite (side facing the reference angle), line AB is the hypotenuse (line facing the right angle) and line AK is the adjacent (side that lies between the right angle and the reference angle).
Hence, using the trigonometric ratios,
Cos A = adjacent/hypotenuse
Cos A = 3/6
Cos A = 0.5
Checking with the calculator, (that is second function of Cos 0.5)
A = 60
The opposite sides of a parallelogram are equal (that is line AD is parallel to line BC) and therefore opposite angles are equal (that is angle A is equal to angle C).
Similarly, angle B is equal to angle D. However, angles in a quadrilateral equals 360 degrees.
Therefore, angles in parallelogram ABCD is derived as;
A + B + C + D = 360
60 + B + 60 + D = 360
120 + B + D = 360
Subtract 120 from both sides of the equation
B + D = 240
Having known that angle B equals angle D, angles B and D is derived as each half of the value 240
Angle B = 240/2
Angle B = 120
and angle D = 120
Therefore, the angles are;
A = 60, B = 120, C = 60, D = 120
