The manager of a vacation resort believes that the ages of adult visitors to the resort can be modeled by a normal distribution.

Response:

Detailed explanation:

1) Equilateral Triangles: Triangles of this type have uniformly equal side lengths and angles. Therefore, if the side measurements are identical, the triangle is categorized as equilateral.

2) Isosceles Triangles: Such triangles feature two sides of the same length, with the third side differing. Given this, if the provided side lengths include two equal sides, it is classified as an isosceles triangle.

3) Scalene Triangles: These triangles have all sides of differing lengths. When all side lengths are distinct, it indicates a scalene triangle.

I hope this explanation is helpful!:) 

Response:

MAD value comes out to be 3.

Detailed Breakdown:

The given sales forecasts for the last four months are 5, 6, 11, and 12 units.

To calculate the Mean Absolute Deviation (MAD) for these forecasts:

The average of the forecasts across four months is .

Thus, the total of absolute differences between the forecast values and the average is = |5 - 8.5| + |6 - 8.5| + |11 - 8.5| + |12 - 8.5| = 3.5 + 2.5 + 2.5 + 3.5 = 12.

Hence, the MAD value will be = (Final Answer)

= -4/2 Step-by-step explanation: xp=x1 +k (x2-x1) = -3+1/3 (2- -3) = -3 + 1/3  (5/1) = -3 + 5/3 = -9/3 +5/3 = -4/2 Sorry, it doesn't look the best:)

Answer:

x = -4/45

Step-by-step breakdown:

180x=2(30÷3)+17-5•11+2÷1

We first need to simplify the right side.  The initial step involves the parentheses

180x=2(10)+17-5•11+2÷1

Next, we multiply and divide, proceeding from left to right after the equals sign.

180x=20+17-5•11+2÷1

180x=20+17-55+2÷1

180x=20+17-55+2

Next, we add and subtract, moving from left to right in relation to the equals sign.

180x=37-55+2

180x =-18+2

180x = -16

Then divide each side by 180

180x/180 = -16/180

x = -4/45