Harold cut 18 1/2 inches off a rope that was 60 inches long. How is the length of the remaining rope written in decimals?
1 answer:
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Answer:
21.38
Step-by-step explanation:
Find the diagram attached
In order to get PS, we need to get the length of QS first
According to triangle QRS;
QS =opposite
QR = 39(adjacent)
Using SOH CAH TOA
Tan theta = opp/adj
Tan 28 = QS/39
QS = 39tan28
QS = 39(0.5317)
QS = 20.74
Get PS
sin theta = QS/PS
sin 76 = 20.74/PS
PS = 20.74/sin76
PS = 20.74/0.9703
PS = 21.38
Hence the length of PS is 21.38
Answer:
A. Probability = 0.02
B. This is in a cumulative frequency table in the attachment I added
Step-by-step explanation:
A. We have these following probabilities
Prob(X=0) = 0.05
Prob(x= 2) = 0.30
Prob(X = 4) = 0.50
Prob(X < 2) = Prob(X=0) + prob(X=1)
0.18 = 0.05 + prob(X=1)
prob(X=1) = 0.13
A. Prob(x = 3)
= 1 - (0.05 + 0.13 + 0.30 + 0.50)
= 0.02
Probability of buying only 3 times = 2%
B. The cumulative frequency is in the attachment.
