Answer:
116.67 m
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are equal and the ratio of their sides are in the same proportion.
From the image attached:
∠A = ∠C = 90° (right angled triangle).
∠ABE = ∠CBD (vertically opposite angles are equal to each other)
The angle-angle similarity postulate states that If two angles of one triangle are equal to two angles of another triangle, then both triangles must be similar. Hence:
Since, ∠A = ∠C and ∠ABE = ∠CBD, we can say that ΔABE and ΔCBD are similar triangles. Since they are similar, the ratio of their corresponding sides is equal. Therefore:
BC / AB = CD / AE
BC = 140 m, AB = 30 m, AE = 25 m
substituting:
140 / 30 = CD / 25
CD = (140 / 30) * 25
CD = 116.67 m
The width of the canal = CD = 116.67 m
Answer:
114 hours. 19 teams x 3 games = 57 games. 57 games x 2 hours = 114 hours. hope this helps
Step-by-step explanation:
Answer:
(a) The probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b) Thus, the probability of municipal bonds issued by suburbs is 0.325.
Step-by-step explanation:
The data provided is as follows:
P (A) = 0.70
P (B) = 0.20
P (C) = 0.10
P (c | A) = 0.50
P (s | A) = 0.40
P (r | A) = 0.10
P (c | B) = 0.60
P (s | B) = 0.20
P (r | B) = 0.20
P (c | C) = 0.90
P (s | C) = 0.05
P (r | C) = 0.05
(a)
The Bayes' theorem states that the conditional probability of an event <em>Y</em>
given that another event <em>X</em> has already occurred is:

Compute the probability that the new municipal bond issued will receive an A rating given that it was issued by a city as follows:


Thus, the probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b)
The law of total probability states that:

Compute the probability of municipal bonds issued by suburbs as follows:


Thus, the probability of municipal bonds issued by suburbs is 0.325.
Answer is $390. Divide the $2080 by the 32 which would give you the cost of one unit which is $65 and then multiply the $65 by the given number 6 and you will get $390
C.) Point L is an Outlier.
[ It is because, each & every point shows same pattern but L is exception to the rule & stays out of the average values ]
Hope this helps!