Answer:
As shown in picture:
Original x = 360 - (59 + 108 + 81) = 112 deg
Upper bound of x (when all known elements are considered at lower bound)
U = 360 - (58 + 107 + 80) = 115 deg
Lower bound of x (when all known elements are considered at upper bound)
L = 360 - (60 + 109 + 82) = 109 deg
Hope this helps!
:)
There must be no chance that d and e will happen. If the two occurrences cannot coexist, we can infer that they are not independent.
<h3>What is probability?</h3>
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
<h3>What is the probability formula?</h3>
P(A) = n(A)/n(S)
Where P(A) is the likelihood that an event "A" will occur and n(A) is the number of positive outcomes. The total number of occurrences in the sample space is denoted by n(S).
We must have a similar probability for both events in order for them to be independent. Because of the table, we may test for independence by knowing the likelihood that e and d will occur. When we are told that occurrences d and e are mutually exclusive, the entire table of values becomes somewhat of a red herring. The chance of d given e and the probability of d given d are both equal to zero if two events are mutually incompatible. There must be no chance that d and e will happen. If the two occurrences cannot coexist, we can infer that they are not independent. There is a chance for it.
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The answer is 20p. P represents the number of boxes she buys and 20 is how many pens are in each box.
Perimeter = a + b + c = 30
Area = 1/2 x a x b = 30
Multiples of 30: 2, 3, 5, 6, 10, 12, 15
For perimeter c = 30- (a+b)
C= sqrt( a^2 + b^2)
Using the possible combinations of the above:
5 and 12:
C = sqrt(5^2 + 12^2) = 13
5 + 12 + 13 = 30 for the perimeter
Area = 1/2 x 5 x 12 = 30
The sides are 5, 12 and 13 cm
Answer:
The length of the island is 699 feet.
Step-by-step explanation:
Let the distance from the foot of the cliff to the near side be represented by x, and the distance from the foot of the cliff to the far side be represented by y.
Applying the trigonometric function to calculate the value of x;
Tan θ =
Tan =
0.2867 =
x =
= 1116.1493
x = 1116.15 feet
The distance from the foot of the cliff to the near side of the island is 1116.15 feet.
To determine the value of y;
Tan θ =
Tan =
0.1763 =
y =
= 1815.0879
y = 1815.09 feet
The distance from the foot of the cliff to the far side of the island is 1815.09 feet.
The length of the island = y - x
= 1815.09 - 1116.15
= 698.94
The length of the island is 699 feet.