Answer:
7x=-5x
Step-by-step explanation:
How many sheets of plywood are in the stack?
Answer:
X-Intercept = (1,0) and (3, 0)
Y-Intercept = (0, 6)
Vertex = (2, -2)
Maximum or Minimum = It is minimum, the vertex is the lowest number.
Axis of Symmetry = x = 2
Zeros = (1, 0) and (3, 0)
Domain = all real numbers
Range = y ≥ -2
Let P(F) represent the probability that the network's shows have received a favorable response from viewers and P(U) represent the probability that <span>the network's shows have received an unfavorable response from viewers.
Then, P(F ∩ S) represents the probability that </span><span>the network’s shows have received a favorable response and have been successful and P(U ∩ S) represents the probability that </span><span>the network’s shows have received an unfavorable response and have been successful.
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The probability that this new show will be successful if it receives a favorable response can be rephrased as <span>the conditional probability that this new show will be successful given it receives a favorable response represented by P(S \ F)
From the given information, </span>
P(F) = 60% = 0.6
P(U) = 40% = 0.4
<span>P(F ∩ S) = 50% = 0.5
</span><span>P(U ∩ S) = 30% = 0.3
</span><span>
</span>
Answer:
Step-by-step explanation:
The triangle ABC formed by Ari, Beatrice and Cece is shown in the attached photo.
a) To determine the the distance between Ari and Cece, we would apply the cosine rule. It is expressed as
b^2 = a^2 + c^2 - 2acCosB
a = 15 meters
b = AC
c = 20 meters
b^2 = 15^2 + 20^2 - 2 × 15 × 20 × -0.7071
b^2 = 225 + 400 + 424.26 = 1049.26
b = √1049.26 = 32.4
b) To determine the measure of the smallest angle, we would apply the sine rule.
a/SinA = b/SinB
It becomes
15/SinA = 32.4/Sin 135
15/SinA = 32.4/0.7071 = 45.82
SinA = 15/45.82 = 0.3274
A = 19 degrees
The smallest angle is 19.1 degrees