Answer:
x= 60
Step-by-step explanation:
if y is the other missing side
y^2 = 64^2 + 48^2
y^2 = 4,096 + 2,304
y^2 = 6,400
100^2 = x^2 +y^2
x^2 = 10,000 - 6,400
x^2 = 3,600
x = 60
Answer:
Part A: yes
Part B: yes
Part C: yes
Step-by-step explanation:
Part A:
77² + 420² = 427²
5,929 + 176,400 = 182,329
182,329 = 182,329
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Part B:
279² + 440² = 521²
77,841 + 193,600 = 271,441
271,441 = 271,441
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Part C:
39² + 760² = 761²
1,521 + 577,600 = 579,121
579121 = 579,121
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your answer is A because its the parallelogram
Answer:
a. P(E) = 1033/ 2851=0.3623
P(R) = 854/2851=0.2995
P(D) = 964/2851=0.3381
P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004
(d) 0.423 158
Step-by-step explanation:
a. P(E) = 1033/ 2851=0.3623
P(R) = 854/2851=0.2995
P(D) = 964/2851=0.3381
(b) Are events E and D mutually exclusive?
Yes these events are mutually exclusive. If students are deferred they may be admitted later but not early. Mutually Exclusive or disjoint events do not occur at the same time.
P(E ∩ D) = P(E) +P(D)= 0.3623 +0.3381= 0.7004
(c) For the 2,375 students who were admitted, the probability that a randomly selected student was accepted during early admission is
P(E) = 1033/ 2851=0.3623
P(E) + P(D for later admission) =0.3623 + 18%*0.3381
=0.3623 + 0.0609 = 0.423 158
We can use substitution.
We can substitute 2x + 3 for 'y' in the 2nd equation.
y = 3x + 5
2x + 3 = 3x + 5
Subtract 3 to both sides:
2x = 3x + 2
Subtract 3x to both sides:
-x = 2
Multiply -1 to both sides:
x = -2
Now we can plug this into any of the two equations to get our y-value:
y = 2x + 3
y = 2(-2) + 3
y = -4 + 3
y = -1
So our solution is (-2, -1)
