Write the equation of the line that passes through the point ( -6 , 2 ) and is parallel to the line y = 1/2x + 4.

1 answer:

8 0

Parallel lines need the same slope, and for y = 1/2x + 4, it is 1/2.

Let's solve for b.

2 = 1/2(-6) + b
2 = -3 + b
Add 3 on both sides.
5 = b

y = 1/2x + 5

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Assume the readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees

lozanna [386]

Answer: 0.0035

Step-by-step explanation:

Given : The readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C.

i.e. $\mu=0$ and $\sigma= 1$

Let x denotes the readings on thermometers.

Then, the probability that a randomly selected thermometer reads greater than 2.17 will be :_

$P(X>2.7)=1-P(\xleq2.7)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{2.7-0}{1})\\\\=1-P(z\leq2.7)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.9965\ \ [\text{By z-table}]\ \\\\=0.0035$