1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Which expression represents "the sum of 5 and b divided by two
DIA [1.3K]

Step-by-step explanation:

<u>Break down the word expression:</u>

The sum of 5 and b divided by two

the sum (+) of 5 and b (5 + b) divided by 2.

<u>Expression:</u>

\frac{(b + 5)}{2}

Parentheses represent that we need to add first, in order to divide the sum by 2.

5 0
2 years ago
Find the exact value of the trigonometric function of theta from the given information. cosine thetaequalsnegative StartFraction
Iteru [2.4K]

Is it a multiple choise?

7 0
3 years ago
To decrease the impact on the environment, factory chimneys must be high enough to allow pollutants to dissipate over a larger a
Komok [63]

Answer:

The probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the height of chimneys in factories.

The mean height is, <em>μ</em> = 100 meters.

The standard deviation of heights is, <em>σ</em> = 12 meters.

It is provided that a random sample of <em>n</em> = 40 chimney heights is obtained.

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample means is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample means is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

Since the sample selected is quite large, i.e. <em>n</em> = 40 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean heights of chimneys.

\bar X\sim N(\mu_{\bar x},\ \sigma^{2}_{\bar x})

Compute the probability hat the sample mean height for the 40 chimneys is greater than 102 meters as follows:

P(\bar X>102)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}})>\frac{102-100}{12/\sqrt{40}})

                    =P(Z>1.05)\\=1-P(Z

*Use a <em>z</em>-table fr the probability.

Thus, the probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

8 0
3 years ago
If A is the subset of B, then A intersects B =B or A is a union B = B
vaieri [72.5K]
Answer: A union B = B


The first one should’ve said A intersects B = A because the entirety of A exists in B
7 0
3 years ago
Alejandro uses the steps below to convert
dezoksy [38]

Answer:

The division was computed incorrectly.

Step-by-step explanation:

Given

Workings:

\frac{5}{8} to percentage

\frac{8}{5} = 1.6 = 160\%

Required

Explain his error

The question says 5/8

Instead, Alejandro's working shows 8/5.

This working is done in an incorrect order and the correct solution is:

Let

x = \frac{5}{8}

Solve the fraction

x = 0.625

Multiply by 100%

x = 0.625 * 100\%

x = 62.5\%

<em>Hence, option (a) is correct.</em>

7 0
2 years ago
Other questions:
  • Alexandra is scuba diving. Every 5 minutes an alarm goes off, and she checks her instruments and makes note of her depth. The de
    15·1 answer
  • Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is
    11·2 answers
  • PLZ HELP PLZ I NEED HELP 15 POINTS PLZ HELP
    10·1 answer
  • Factorise 6x^2 + x - 12
    10·2 answers
  • PLEASE HELP!!!
    14·1 answer
  • Which is not proportional?<br> A. Y=2x<br> B. Y=x - 2<br> C. Y=-2x<br> D. Y=1/2x
    13·1 answer
  • Given the following Venn diagram find M n N
    12·2 answers
  • How much of a radioactive kind of protactinium will be left after 3 minutes if the half-life is 1 minute and you start with 352
    7·1 answer
  • Which of the following graphs represent a nonproportional relationship? Select all that apply.
    8·2 answers
  • Part A: The average rate of change between the 2nd and 3rd point is Select a Value Part A: The average rate of change between th
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!