The point (-6, y) lies on the graph of the equation: 5y=2x−4.
1 answer:
Answer:
The value of y is - ⇒ answer B
Step-by-step explanation:
- If a point lies on the graph of an equation, then it must to satisfy the
equation
- That means when you substitute the coordinates of the point in the
equation the left hand side will equal the right hand side
- The point (-6 , y) lies on the graph of the equation 5 y = 2 x - 4
- We need to find the value of y-coordinate of the point
- To do that substitute the value of x-coordinate of the point in the
equation
∵ 5 y = 2 x - 4
∵ x = - 6
∴ 5 y = 2(-6) - 4
- Multiply 2 by - 6
∴ 5 y = - 12 - 4
- Add like terms in the right hand side
∴ 5y = - 16
Divide both sides by 5
∴ y = -
The value of y is -
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Step-by-step explanation:
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)=0.7068