The distance formula measures the length of a line segment or the distance between two points.

The hypotenuse is one of the two sides that forms the right angle of a triangle.

The altitude of a triangle is a line segment that extends from the vertex and is perpendicular to the side opposite the vertex.

8 0

3 years ago

Simplify this algbraic expression completely 5y-3(y+2)

Sophie [7]

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

3 0

2 years ago

birth weights in norway are normally distributed with a mean of 3570 g and a standard deviation of 500g. if the hospital officia

Svetradugi [14.3K]

Answer:

2630 g

Step-by-step explanation:

From the given information:

Given that:

mean (μ) = 3750 g

Standard deviation (σ) = 500

Suppose the hospital officials demand special treatment with a percentage of lightest 3% (0.03) for newborn babies;

Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;

P(Z < z₁) = 0.03

Using the Excel Formula; =NORMSINV(0.03) = -1.88

z₁ = - 1.88

Using the test statistics z₁ formula:

$z_1 = \dfrac{X-\mu}{\sigma}$

$-1.88 = \dfrac{X-3570}{500}$

By cross multiply, we have:

-1.88 × 500 = X - 3570

-940 = X - 3570

-X = -3570 + 940

-X = -2630

X = 2630 g

Hence, 2630 g is the required weight of birth that differentiates the babies that needed special treatment from those that do not

6 0

2 years ago