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Reika [66]
3 years ago
12

Find the area of the shape shown below.

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

Answer:

15 units squared

Step-by-step explanation:

We can split this trapizoid into two shapes. One is a square with sides of three and three. the area is 9. The other shape is a triangle with dimentions of three and four. three times four is 12, and to find the area of the triangle we divide it be two. 12/2 is six. 9+6 is 15 units squared.

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According to the American Lung Association, 7% of the population has lung disease. Of those having lung disease, 90% are smokers
postnew [5]

Answer:

Probability that a smoker has lung disease = 0.2132

Step-by-step explanation:

Let L = event that % of population having lung disease, P(L) = 0.07

So,% of population not having lung disease, P(L') = 1 - P(L) = 1 - 0.07 = 0.93

S = event that person is smoker

% of population that are smokers given they are having lung disease, P(S/L) = 0.90

% of population that are smokers given they are not having lung disease, P(S/L') = 0.25

We know that, conditional probability formula is given by;

                        P(S/L) = \frac{P(S\bigcap L)}{P(L)}  

                        P(S\bigcap L) = P(S/L) * P(L)

                                      = 0.90 * 0.07 = 0.063

So,  P(S\bigcap L) = 0.063 .

Now, probability that a smoker has lung disease is given by = P(L/S)

      P(L/S) = \frac{P(S\bigcap L)}{P(S)}

P(S) = P(S/L) * P(L) + P(S/L') * P(L')

       = 0.90 * 0.07 + 0.25 * 0.93 = 0.2955

Therefore, P(L/S) = \frac{0.063}{0.2955} = 0.2132

Hence, probability that a smoker has lung disease is 0.2132 .

7 0
3 years ago
Divide. 1,229 ÷ 14 Enter your answer in the boxes as a mixed number in simplest form.
Tatiana [17]

Answer:

87 11/14

Step-by-step explanation:

1,229 ÷ 14

It can also be written as

1,229 / 14

14 in 12 is not possible

14 in 122 is 8 remainder 10

The 10 remaining + 9 in the the given expression

14 in 109 is 7 remainder 11

The answer is 87 11/14

87 whole number 11 over 14

1,229 / 14 = 87 11/14

3 0
3 years ago
If I worked for 1 hour and got paid $10 per hour. How much would I get paid working 8 hours?
Lina20 [59]

You would get paid $80

7 0
3 years ago
Read 2 more answers
Please help me answer this <br> Will give Brainly
zmey [24]

Answer:

9.103

10. 77

11.60

12. 6.4

13. 20

14. 36

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

180 - (47 + 30) = 103

DEG = 180 - 103 = 77 angles on a straight line equals 180

An equilateral triangle has all 3 sides equal

if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

5² + 4² = 41

squareroot of 41 = 6.4

b : √(25² - 15²) = 20

√(60² - 48²) = 36

5 0
2 years ago
Find the volume of the cylinder
N76 [4]

Answer: wouldn't be 1608.5? let me know if im wrong.

V = πr^2 h= π · 8^2 · 8 ≈ 1608.49544

7 0
3 years ago
Read 2 more answers
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