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Mandarinka [93]
2 years ago
15

Subtracting 5 from each score in a distribution with a mean equal to 40 and a standard deviation equal to 3 will result in a sta

ndard deviation equal to:
Mathematics
1 answer:
LenaWriter [7]2 years ago
6 0

Adding or subtracting a constant from each value of a distribution changes the mean, but not the standard deviation.


The standard deviation will equal 3.

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Question 10 The hypotenuse of a right triangle is I m longer than the longer leg. The other leg is 7 m shorter than the longer l
bonufazy [111]

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

5 0
2 years ago
a. A landscape artist has drawn the outline of a house. Describe three different ways to make sure the corners of the house are
Olenka [21]

Answer:

1. 3-4-5 method

2. Rope method

3. Optical square method

Step-by-step explanation:

1. You'll need a measuring tape, two range poles, pegs, and three people.

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2. Wrap one loop of the rope around peg A with a peg through the other loop, draw a circle on the ground, place pegs B and C where the circle crosses the base line, and place peg D half way between pegs B and C, allowing pegs D and A to form lines perpendicular to the base line, forming a right angle.

3. Single and double prismatic squares are basic devices used to measure correct angles.

7 0
1 year ago
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