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3 years ago

4. A health club manager wants to determine

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

7 0

Answer: 600 members of the club

Step-by-step explanation:

In a statistical study , a population is a large group of observations by the researcher's point of view regarding the objective of the study.

A sample is a subset of the population that represents the entire population.

Here , we are given that ,

The club surveys 50 of its 600 members.

Clearly , Population = 600 members of the club

Sample = 50 members

Hence, the population of this study is "600 members of the club " .

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Management at a seaside resort is publishing a brochure and wants to include a statement about the proportion of clear days duri

Ymorist [56]

Answer: B. 264

Step-by-step explanation:

Formula to calculate the sample size 'n' , if the prior estimate of the population proportion (p) is available:

$n= p(1-p)(\dfrac{z}{E})^2$

, where z = Critical z-value corresponds to the given confidence interval

E= margin of error

Let p be the population proportion of clear days.

As per given , we have

Prior sample size : n= 150

Number of clear days in that sample = 117

Prior estimate of the population proportion of clear days = $p=\dfrac{117}{150}$

E= 0.05

The critical z-value corresponding to 95% confidence interval = z*= 1.95 (By z-table)

Then, the required sample size will be :

$n= \dfrac{117}{150}(1-\dfrac{117}{150})(\dfrac{1.96}{0.05})^2$

Simplify ,

$n= (0.1716)(39.2)^2$

$n= 263.687424\approx264$

Hence, the sample size necessary to construct this interval =264

Thus the correct option is B. 264

7 0

3 years ago

Please help me with this please and thank you

Ierofanga [76]

Step-by-step explanation:

a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".

so,

6×r = 18

r = 18/6 = 3

and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.

a0 = 6

a1 = a0 × 3 = 6×3 = 18

a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54

an = a0 × 3^n = 6 × 3^n

so,

f(x) = 6×3^x, x is integer, x >=0

4 0

3 years ago

Please help I dont understand

Kitty [74]

Answer:

3rd option

Step-by-step explanation:

A direct variation is expressed in this form:

y = kx

1. y - 4x = 8

y = 4x + 8 is not a direct variation

2. y + 2 = 7x

y = 7x - 2 is not a direct variation

3. y - 3x = 0

y = 3x is a direct variation

4. y = 5x - 2

y = 5x - 2 is not direct variation

8 0

3 years ago

A coin is tossed three times. what is the probability of getting two heads and one tail?

Lera25 [3.4K]

If the order doesn't matter, then the probability is 37.5%
If it has to be head head tail, then the probability is 12.5%

If the order doesn't matter, the possible outcomes that have two heads and one tail are HHT, HTH, and THH. Since these all have a probability of 12.5% of occuring, the probability of any of them occuring is 37.5%

7 0

3 years ago

Read 2 more answers

The directions are with the question. Please answer numbers 6 through 10, please.

prisoha [69]

Answer:

6) 4 (tiny 5) in the upper corner

7) 9 (tiny 2) in the upper corner

8) 4 (tiny 2) in the upper corner

9) 3 (tiny4) in the upper corner

10) 5 (tiny 5) in the upper corner

Step-by-step explanation:

Once you get the hang of it, it's quite easy! Here are the steps for how I figured it out:

1) Figured out what number they are giving me. For the first one, I saw that they gave me the number 4. For the second one, they gave me the number 9 etc.

2) Next, I looked at each problem individually. For the first one, you know that they are giving you the number 4. You would then count the amount of numbers, in this case 4, that you see in the equation.

3) Now knowing the numbers of numbers in the equation, you'd write it in exponential notation. For the first one, they are giving you the number 4, however, they are giving it to you 5 times. Thus, by writing the number 5, smaller than the number 4, you are allowing you and your math teacher to know that you have to take the number 4 and multiply it by itself 5 times.

4) Try doing this for the others too. Trust me, once you get the hang of it, it's pretty simple. Hope this helped!

4 0

3 years ago