Find the values below: x = m m m
1 answer:
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Answer:
The reuired probability is 0.756
Step-by-step explanation:
Let the number of trucks be 'N'
1) Trucks on interstate highway N'= 76% of N =0.76N
2) Truck on intra-state highway N''= 24% of N = 0.24N
i) Number of trucks flagged on intrastate highway = 3.4% of N'' =
ii) Number of trucks flagged on interstate highway = 0.7% of N' =
Part a)
The probability that the truck is an interstate truck and is not flagged for safety is
where
is the probability that the truck chosen is on interstate
is the probability that the truck chosen on interstate is flagged
Answer:
<u>1st pic:</u>
x = 49
top angle = 45
bottom angle = 108
far right angle = 27 degrees
<u>2nd pic:</u>
angle 1 = 88 degrees
angle 2 = 57 degrees
angle 3 = 35 degrees
angle 4 = 145 degrees
Step-by-step explanation:
<u>1st pic:</u>
you can find the far right angle by taking 153 and subtracting it from 180:
⇒ 180 - 153 = 27 degrees
you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180
combine like terms ⇒ 3x + 33 = 180
subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147
divide 3 on each side: ⇒
x = 49
to find the top and bottom angles, substitute 49 for x:
top angle : x - 4
49 - 4 = 45 degrees
bottom angle: 2x + 10
2 x 49 + 10 = 108 degrees
<u>2nd pic:</u>
angle 1:
⇒ 180 - 92 = 88 degrees
angle 2:
⇒ 180 - 123 = 57 degrees
angle 3:
⇒ 180 - (88 + 57) = 35 degrees
angle 4:
⇒ 180 - 35 = 145 dgerees