Answer:
4x-7y = -21
Step-by-step explanation:
1. Move 4/7x to the other side
-4/7x+y=-3
2. Multiply both sides by -7
4x-7y=-21
Answer:
0.0869
Step-by-step explanation:
The arc electronic company had an income of 90 million dollars last year.
Mean(μ) = 75 million dollars
Standard deviation (σ) = 11 million dollars
Probability that the randomly selected will earn more than arc did last year = Pr(x>90)
Using normal distribution,
Z = (x - μ) / σ
Z = (90 - 75) / 11
Z = 15/11
Z = 1.36
From the normal distribution table, 1.36 = 0.4131
Φ(z) = 0.4131
Recall that when Z is positive, Pr(x>a) = 0.5 - Φ(z)
= 0.5 - 0.4131
= 0.0869
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Find the duration
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Time : 9:00am to 10:15am
Duration: 1hour 15 mins or 1.25hours
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Find difference in distance travelled between the two cyclists.
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Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km
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Find the distance the cyclist traveled
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42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km
The slower cyclist traveled 17.5 km in the 1.25 hours
17.5 + 7.5 = 25 km
The faster cyclist traveled 25km in the 1.25 hours
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Find the speed of the slower cyclist
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1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km
The cyclist was traveling at 14km/h
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Find the speed of the faster cyclist
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1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km
The cyclist was traveling at 20km/hour
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Answer: The speed were 14km/h and 20 km/h
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It is 6 because 6x6x6=216
After 5 years, value doubles.
Hence after 5 years, value is 250 x 2 = 500
After another 5 years, value doubles.
500 x 2 = 1000
Ans: $1000
