On a coordinate plane, a line with a 90-degree angle crosses the y-axis at (0, 1), the x-axis at (1, 0), turns at (3, negative 2
2 answers:
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The answer is:
The equation of the given circle is:
The equation of a circle is given by the following equation:
We are given the center point (4,-5) and the radius.
So,
Where:
Then, substituting into the circle equation, we have:
Hence, the simplified equation of the circle is:
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Answer:
Step-by-step explanation:
According to the given question, a tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean of 37,000 miles and a standard deviation of 3,887 miles.
Let us define X be the random variable shows that the mileages tires normally distributed with
mean
μ = 37000
standard deviation
σ =3, 887
Therefore
X ~ (μ = 37000, σ =3,887)
The company wishes to offer a guarantee providing a discount on a new set of tires if the original tires purchased do not exceed the mileage stated in the guarantee. Therefore the guaranteed mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage is determined as:
P(X < k) = 0.02
From the standard normal curve 2% area is determined as -2.0537 and hence
If we consider z value at two decimal places then
Therefore the guaranteed 29032 mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage.
The area under the standard normal curve is determined as:
