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QveST [7]
3 years ago
13

Suppose that 20% of adults belong to health clubs, and 51% of these health club members go to the club at least twice a week. Wh

at percent of all adults go to a health club at least twice a week? Write the information given in terms of probabilities and use the general multiplication rule. (Let H be the event that an adult belongs to a club, and T be the event that he/she goes at least twice a week. Use 3 decimal places.)
Mathematics
1 answer:
Westkost [7]3 years ago
5 0

Answer:

10.2% of adults will belong to health clubs and will go to the club at least twice a week

Step-by-step explanation:

assuming that the event H=an adult belongs to a health  club  and the event T= he/she goes at least twice a week , then if both are independent of each other:

P(T∩H)= P(H)*P(T)  ( probability of the union of independent events → multiplication rule )

replacing values

P(T∩H)= P(H)*P(T) = 0.20 * 0.51 =0.102

then  10.2% of adults will belong to health clubs and will go to the club at least twice a week

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An air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute. Select all
Radda [10]

Answer:

The correct options are 3, 4 and 5.

Step-by-step explanation:

It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.

It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).

The ball falls at a rate of 50 ft per minute. So, the rate of change is

m=-50

The height of balloon is defined as

h(x)=-50x+1000                      [\because y=mx+b]

Where, x is time in minutes.

The balloon will reach the ground when h(x)=0

0=-50x+1000

50x=1000

x=20

Therefore the options 3, 4 and 5 are correct.

4 0
3 years ago
If the geometric mean of a and 34 is 6 sqrt(17) find the value of a
Alborosie

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, (n_1, n_2, ..., n_n), is given by:

G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

  • Two elements(n = 2), a and 34.
  • G = 6\sqrt{17}

Thus:

\sqrt{34a} = 6\sqrt{17}

We find the square of each side, so:

(\sqrt{34a})^2 = (6\sqrt{17})^2

34a = 36\times17

Simplifying both sides by 17:

2a = 36

a = \frac{36}{2}

a = 18

The value of a is 18.

A similar example is given at brainly.com/question/15010240

3 0
3 years ago
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Furkat [3]
<span>y= 2x-4 
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so

</span><span>2x-4 = -x+5
2x +x = 5 +4
3x = 9
x =3

y = 2x-4
y =2(3) - 4
y = 6-4
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answer: (3,2)</span>
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2 years ago
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cestrela7 [59]

Distributive Property.

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I will set it up for you only.

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