The answer to ur question is option(B.) a circle inscribed inside the triangle....

Hope this helps u....!!

**Answer:**

**Step-by-step explanation:**

by moving the decimal 2 times to the right

**Answer:**

μ = 5.068 oz

**Step-by-step explanation:**

Normal distribution formula to use the table attached

Z = (x - μ)/σ

where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.

98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

2.33 = (6 - μ)/0.4

μ = 6 - 2.33*0.4

μ = 5.068

This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.

**Answer:**

**Step-by-step explanation:**

Given is a function

Average slope of this function is change of f(x) in (-2,6)/change of x in (-2,6)

=

By mean value theorem there exists a c such that f'(c) = -18

i.e.

Using quadratic formula

x = 2.61, -1.277

Out of these only 2.61 lies in the given interval

c = 2.61