Given the following equations, determine the relationship of the lines they represent: y = 5 and x = 6.

Mathematics

2 answers:

Marta_Voda [28]3 years ago

7 0

Answer:

2x2/er5

Step-by-step explanation:

Allushta [10]3 years ago

4 0

2x2/Ed would be the answer

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Does the equation x2 - 10x + y2 - 6y = -30 intersect the x-axis?

Dmitriy789 [7]

Intersecting the x axis means y is 0
plug y=0 in the equation and solve for x to see if there are real solutions
x^2-10x+0+0=-30
x^2-10x+30=0
this cannot be factored, so let's see if b^2-4ac is bigger than 0
10^2-4*1*30=-20
so the solutions for this equation are not real numbers, therefore the answer is no.

5 0

3 years ago

The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000

mel-nik [20]

Answer:

0.018 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 60,000 miles

Standard Deviation, σ = 1500 miles

We are given that the distribution of tread life is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(brand will last between 56,850 miles and 57,300 miles)

$P(56850 \leq x \leq 57300) = P(\displaystyle\frac{56850 - 60000}{1500} \leq z \leq \displaystyle\frac{57300-60000}{1500}) = P(-2.1 \leq z \leq -1.8)\\\\= P(z \leq -1.8) - P(z < -2.1)\\= 0.0359 - 0.0179 = 0.018= 1.8\%$