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Question 23
Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.
We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.
Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.
See the diagram below.
Answer:
0.7019; no, it does not appear to be safe.
Step-by-step explanation:
We want to find P(X > 185). However, in a z table, we are given the area under the curve to the left of the value; this means we want to find
1 - P(X ≤ 185)
The z score for the mean of a sample is given by
For this situation, the mean, μ, is 189 and the standard deviation, σ, is 39. Our sample size, n, is 27. This gives us
z = (185-189)/(39÷√27) = -4/(39÷5.1962) = -4/7.5055 = -0.53
Using a z table, we see that the area under the curve to the left of this value is 0.2981. This means our probability is
1-0.2981 = 0.7019.
B = 7x - 6 is the correct answer.
