The change in altitude between the maximum height and the height at which the balloon was recovered is 1300 meters
<h3>How to determine the change</h3>
It is important to note that the maximum height is the peak altitude the balloon reached
To find the difference, we use the formula
Change = Maximum height - recovery height
Maximum height = 5000 meters
Recovery height = 3700 meters
Substitute the values
Change = 5000 - 3700
Change = 1300 meters
Thus, the change in altitude between the maximum height and the height at which the balloon was recovered is 1300 meters
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Step-by-step explanation:
angle YWX = angle YXW ...eqn 1
angle XYZ = angle WYX (0.5) = 15x...eqn 2
angle YXZ = angle YXW = 2x + 5...eqn 3
=> from eqn 1 and 3 we get...
angle YWX = 2x + 5 ...eqn 4
=> from eqn 2 we get
angle WYX = 2 × angle XYZ = 30x...eqn 5
a triangle has a total of 180deg,
=>angle WYX + angle YWX + angle YXW = 180deg
=> 30x + 2x +5 + 2x +5 = 180deg
=> 34x +10 =180deg
=> x = 5deg
subst x = 5deg in eqn 5, we get
angle WYX = 30 × 5 = 150deg
Answer:
a. The probability is not equal to 1
b. P (A') = 0.70
c. P ( A U B ) = 0.80
d. P ( A' ∩ B' ) = 0.20
Step-by-step explanation:
a. Because these A and B are disjoint
b. since the probability of A is 0.30 then the probability of A compliment is
P(A compliment ) = 1 - P (A)
P(A compliment ) = 1-0.30
P(A compliment ) = 0.70
c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;
P ( A U B ) = P (A) + P(B) - P(A∩ B)
P ( A U B ) = 0.30 + 0.50 - 0
P ( A U B ) = 0.80
d. The inetrsection of compilments of A and B are:
by using De Morgan's Law we have,
P ( A' ∩ B' ) = P [(A U B )']
P ( A' ∩ B' ) = 1 - P ( A U B )
P ( A' ∩ B' ) = 1 - 0.80
P ( A' ∩ B' ) = 0.20
Answer:
Step-by-step explanation:
B, y=5x
