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Elis [28]
2 years ago
8

What is the total area of the following composite figure?

Mathematics
1 answer:
Rina8888 [55]2 years ago
4 0

Step-by-step explanation:

there is a rectangle and an octagon within

area of rectangle = 8*9 = 72

there are 4 right angled triangles

area of one such triangle = .5 × 9 = 4.5

total area of triangles = 18

area of octagon = 72-18 = 54 m^2

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A multiple choice test has four possible answers for each question. Let X be the number of correct responses in a test of 100 qu
dimulka [17.4K]

Answer:

a. 4.33.

Step-by-step explanation:

If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25

Sample size (n) = 100 questions

The standard deviation of a proportion 'p' is given by:

s=\sqrt{\frac{p*(1-p)}{n} }

Applying the given data:

s=\sqrt{\frac{0.25*(1-0.25)}{100}}\\s=0.0433

If X is the number of correct responses in 100 guesses, the standard deviation of X is:

\sigma = n*s=100*0.0433\\\sigma = 4.33

The standard deviation of X is 4.33 questions.

7 0
3 years ago
I need help with number 3 and 5
shepuryov [24]
3 is no cuz obtuse angle is >90 degrees, all the angles together must equal 180 degrees, and if you try it, you get no. 5 is 25% of 45, which is $11.25.
5 0
3 years ago
Read 2 more answers
You are going to an amusement part.it cost $15 to get in and $2 for each ride.
Ksenya-84 [330]
Say you rode 4 rides it would cost you a total of 23 dollars and that’s with the get in price
4 0
2 years ago
Triangle angle sun theorem<br> what the value of y?<br> I will give brainlist
hichkok12 [17]

Answer:

y = 7°

Step-by-step explanation:

By interior angle sum theorem of a triangle.

51 \degree + 87 \degree + 6y = 18 \degree \\  \\ \implies 138 \degree+ 6y = 18 0\degree \\  \\  \implies  6y = 180 \degree  - 138 \degree  \\  \implies  6y = 42 \degree  \\  \\ \implies  y =  \frac{42 \degree}{6}  \\  \\  \huge \red{\implies  y =7 \degree} \\  \\

3 0
2 years ago
In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each tie.
Genrish500 [490]
6x + 3y = 79.5
3x + 2y = 41     y = -3/2x + 41/2      y = -1.5x + 20.5

6x + 3(-1.5x + 20.5) = 79.5
6x - 4.5x + 61.5 = 79.5
1.5x + 61.5 = 79.5
1.5x = 18
x = 12

Each shirt costs $12.
Now insert that number into the x to find the cost of each tie.

3(12) + 2y = 41
36 + 2y = 41
2y = 5
y = 2.5

Each tie costs $2.50.

4 0
3 years ago
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