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Scorpion4ik [409]
3 years ago
13

Write an equation for a line that passes through the Irgun and perpendicular to y=5x-2

Mathematics
1 answer:
umka21 [38]3 years ago
7 0

Answer:

Well we have to find eq of line passing through origin and perpendicular to y=5x-2

First you need slope

As slope of y=5x-2 line is 5

So, slope of perpendicular line is -1/5

Also it passes through origin

as we know eq of line is y-y1=m(x-x1)

substitute X1,y1 = (0,0)

it becomes y =mx

so, y = -x/5

5y +x = 0 is required equation

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Alecsey [184]

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Standard deviation of weekly salary = σ = $45

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Answer:

P(X > $525) = 21.77%

Step-by-step explanation:

We want to find out the probability that a randomly selected teacher earns more than $525 a week.

P(X > 525) = 1 - P(X < 525)\\\\P(X > 525) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 525) = 1 - P(Z < \frac{525 - 490}{45} )\\\\P(X > 525) = 1 - P(Z < \frac{35}{45} )\\\\P(X > 525) = 1 - P(Z < 0.78)\\\\

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P(X > 525) = 1 - 0.7823\\\\P(X > 525) = 0.2177\\\\P(X > 525) = 21.77 \%

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

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