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butalik [34]
3 years ago
9

Answer the following questions.

Mathematics
1 answer:
tatiyna3 years ago
8 0

(a) 55% of 60 is 33

(b) 85% of 80 is 68

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Researchers investigated whether insomnia is related to education status. Adults living in a certain region were selected to par
Degger [83]

Answer:

A) 8 treatments

  1. Normal​ sleeper, high school dropout
  2. Normal​ sleeper, high school graduate
  3. .Normal​ sleeper, college graduate
  4. Chronic​ insomnia, college graduate
  5. Chronic​ insomnia, high school graduate
  6. Chronic​ insomnia, high school dropout
  7. Normal​ sleeper, some college
  8. Chronic​ insomnia, some college

B) 8 treatments

Step-by-step explanation:

<u>A) determine the number of treatments for this study </u>

The number of treatments for this study can be determined as : 2 * 4 = 8 treatments

and they are :

  1. Normal​ sleeper, high school dropout
  2. Normal​ sleeper, high school graduate
  3. .Normal​ sleeper, college graduate
  4. Chronic​ insomnia, college graduate
  5. Chronic​ insomnia, high school graduate
  6. Chronic​ insomnia, high school dropout
  7. Normal​ sleeper, some college
  8. Chronic​ insomnia, some college

B) eight (8 ) treatments

7 0
3 years ago
Select the expression below that is equal to 5(11 - m).
Sunny_sXe [5.5K]

Answer:

C

Step-by-step explanation:

5*11=55

5*-m=-5m

Your welcome

4 0
2 years ago
Read 2 more answers
You are attempting to make a scale drawing of your room. The actual size of your room is 12 feet
olga2289 [7]

Answer:

width = 8 inches

length = 10 inches

Step-by-step explanation:

width= 12/1.5

= 8

length = 15/1.5

= 10

6 0
3 years ago
What is the answer? thanks!
omeli [17]

Answer:

Step-by-step explanation:M angel 7 = 60 degrees, angle 1 is 60 as well because it is vertical. So your answer is A: 60. I hope my answer helped you. ;).

6 0
3 years ago
A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t
frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

  • since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

\mathbf{L = 3x - 2( \dfrac{1000000}{x})}

\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}

\mathbf{ x^2= \dfrac{2000000}{3} }

\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }

\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}

Now, if we replace the value with equation (1), then y will be:

\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\  \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}

\mathbf{x =500\sqrt{6}}

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

\mathbf{L = 3( \dfrac{1000  \sqrt{6}}{3}) + 2(500 \sqrt{6})}

\mathbf{L =1000  \sqrt{6} + 1000 \sqrt{6}}

\mathbf{L =2000  \sqrt{6} }

\mathbf{L \simeq 4899 \ ft}

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0
2 years ago
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