**Answer:**

(-8,1)

**Step-by-step explanation:**

Imma assume you meant (x-2, y)

x coordinate becomes -6-2=-8

y coordinate stays the same

so the image is (-8,1)

**Answer:**

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

**Step-by-step explanation:**

Answer: y=4x+6

Step-by-step explanation: you replace the variables in the equation with the variables in the point given to find b.

Answer:

The probability is

Step-by-step explanation:

From the question we are told that

The mean is

The standard deviation is

Generally the probability that he/she earns less than $450 a week is mathematically represented as

From the z table the area under the normal curve to the left corresponding to -0.8889 is

=>

**Answer:**

a. P(X ≤ 5) = 0.999

b. P(X > λ+λ) = P(X > 2) = 0.080

**Step-by-step explanation:**

We model this randome variable with a Poisson distribution, with parameter λ=1.

We have to calculate, using this distribution, P(X ≤ 5).

The probability of k pipeline failures can be calculated with the following equation:

Then, we can calculate P(X ≤ 5) as:

The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as: