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Reika [66]
3 years ago
5

n a group of 40 people, 10 people are healthy. The 30 unhealthy people have either high blood pressure, high cholesterol, or bot

h. Suppose 15 have high blood pressure and 25 have high cholesterol. If a person is randomly selected from this group, what is the probability that they have both high blood pressure and high cholesterol
Mathematics
1 answer:
aalyn [17]3 years ago
3 0

Answer:

If a person is randomly selected from this group, the probability that they have both high blood pressure and high cholesterol is P=0.25.

Step-by-step explanation:

We can calculate the number of people from the sample that has both high blood pressure (HBP) and high cholesterol (HC) using this identity:

N(\text{HBP or HC})=N(\text{HBP})+N(\text{HC})-N(\text{HBP and HC})\\\\\\ N(\text{HBP and HC})=N(\text{HBP})+N(\text{HC})-N(\text{HBP or HC})\\\\\\ N(\text{HBP and HC})=15+25-30=10

We can calculate the probability that a random person has both high blood pressure and high cholesterol as:

P(\text{HBP and HC})=\dfrac{10}{40}=0.25

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100y−39,000=55(x−800)
hoa [83]

Answer:

y = 11/20x -50

Step-by-step explanation:

100y−39,000=55(x−800)

Distribute

100y−39,000=55x−44000

Add 39000 to each side

100y−39,000+39000=55x−44000+39000

100y = 55x -5000

Divide each side by 100

100y/100 = 55x/100 - 5000/100

y = 11/20x -50

This is slope intercept form

where 11/20 is the slope and -50 is the y intercept

4 0
3 years ago
A parallelogram with vertices (–1, 3), (5, 1), (3, –2), and (–3, 0) is translated right 4 units, down 2 units.
Tresset [83]

Answer:

(3, 1), (9, -1), (7, -4), and (1, -2)

Step-by-step explanation:

(-1, 3), (5, 1), (3, –2), (–3, 0)

+4      +4     +4          +4

(3, 3), (9, 1), (7, -2), (1, 0)

   -2       -2       -2       -2

(3, -1), (9, -1), (7, -4), (1, -2)

Please mark as Brainliest! :)

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5 0
3 years ago
Read 2 more answers
Without using a calculator, order the following numbers from least to greatest
SpyIntel [72]
The square root of 78 is a number which when multiplied by itself results in 78. The square root of 78 is denoted by √78. 78 can be expressed as 78 = 2 × 3 × 13. Hence, on simplifying square root of 78 is written as √78

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8 0
3 years ago
In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d
muminat
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
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madreJ [45]

Answer:

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Step-by-step explanation:

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