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marysya [2.9K]
3 years ago
14

Is y=3/2x 6 a non linear or linear equation?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0
This is a linear equation as when you graph it you get a line
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Two pedestrians simultaneously left two villages 27 km apart and walked toward each other. the first one walked 4 km per hour, a
Salsk061 [2.6K]

<u>Step 1: Assign variable for the unknown that you need to find. </u>

Let ' t ' be the number of hours it took for the pedestrians to meet.

<u>Step 2: List the give details</u>

Speed of first pedestrian = 4 km/hr.

Speed of second pedestrian = 6 km/hr.

Distance between two pedestrians = 27 km.

<u>Step 3: Set up an equation</u>

The relationship between speed, distance and time is given below:

Distance= \; Rate \times Time

The first one walked 4 km per hour, distance traveled by first pedestrian is given below:

Distance_{1^{st} \; pedestrian} \; = \; 4t\\\\Distance_{2^{nd} \; pedestrian} \; = \; 6t

Two pedestrians simultaneously left two villages 27 km apart and walked toward each other.

Distance_{1^{st} \; pedestrian} +Distance_{2^{nd} \; pedestrian} =27\\\\4t+6t=27\\Combine \; Like \; Terms\\\\10t=27\\Dividing \; 10 \; on \; both \; sides\\\\ \frac{10t}{10}  = \frac{27}{10}  \\Simplifying \; fraction \; on \; both \; sides\\\\t=2.7 \; hours

Conclusion:

The pedestrian meet after 2.7 hours.

3 0
3 years ago
a slitter assembly contains 48 blades five blades are selected at random and evaluated each day for sharpness if any dull blade
12345 [234]

Answer:

P(at least 1 dull blade)=0.7068

Step-by-step explanation:

I hope this helps.

This is what it's called dependent event probability, with the added condition that at least 1 out of 5 blades picked is dull, because from your selection of 5, you only need one defective to decide on replacing all.

So if you look at this from another perspective, you have only one event that makes it so you don't change the blades: that 5 out 5 blades picked are sharp. You also know that the probability of changing the blades plus the probability of not changing them is equal to 100%, because that involves all the events possible.

P(at least 1 dull blade out of 5)+Probability(no dull blades out of 5)=1

P(at least 1 dull blade)=1-P(no dull blades)

But the event of picking one blade is dependent of the previous picking, meaning there is no chance of picking the same blade twice.

So you have 38/48 on getting a sharp one on your first pick, then 37/47 (since you remove 1 sharp from the possibilities, and 1 from the whole lot), and so on.

Also since are consecutive events, you need to multiply the events.

The probability that the assembly is replaced the first day is:

P(at least 1 dull blade)=1-P(no dull blades)

P(at least 1 dull blade)=1-(\frac{38}{48}* \frac{37}{47} *\frac{36}{46}*\frac{35}{45}*\frac{34}{44})

P(at least 1 dull blade)=1-0.2931

P(at least 1 dull blade)=0.7068

6 0
3 years ago
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