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Harrizon [31]
2 years ago
9

Find the area of the composite figure. (View picture)

Mathematics
1 answer:
sattari [20]2 years ago
8 0

Answer:

96\: cm^2

Step-by-step explanation:

  • Given composite figure is a trapezoid.

  • Where, b_1= 14\: cm,\: b_2= 10\: cm, \:\&\: h = 8\: cm

  • Formula for area of trapezoid is given as:

  • A(trapezoid) =\frac{1}{2}(b_1+b_2)(h)

  • \implies A(trapezoid) =\frac{1}{2}(14+10)(8)

  • \implies A(trapezoid) =\frac{1}{2}(24)(8)

  • \implies A(composite\: figure) =96\: cm^2
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It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citiz
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Answer:

a) 0.71

b) 0.06

Step-by-step explanation:

We solve using Baye's Theorem

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

We have Two events

A and B

Events A = 88% of senior citizens suffer from sleep disorders

P(A) = 0.88

Event B = 7% suffer from anxiety

P(B) = 0.07

Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

P(A and B) = 0.05

a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(B)

= 0.05/0.07

= 0.7142857143

Approximately = 0.71

B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(A)

= 0.05/0.88

= 0.0568181818

Approximately = 0.06

7 0
2 years ago
There were 6 purple socks and 4 orange socks in a drawer. Zucky picked one sock without looking and then another without looking
postnew [5]

Answer: 1/3

Step-by-step explanation:

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3 years ago
For the function y=-2sin(pi/12(x-2) what is the maximum value
pogonyaev

Answer:

Step-by-step explanation:

The max value of the sine function is 1.  

If we multiply it by 2, we get 2 sin x, whose max. value is 2.

If we multiply the sine function by -2, the max value of this functin is still 2.

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2 years ago
What is the area? Bit confused on this one.
Nutka1998 [239]

Answer:

A = 9x² + 12x

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = height × width

  = 3(3x² + 4x) ← distribute parenthesis by 3

   = 9x² + 12x

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