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Effectus [21]
3 years ago
6

a pool charges $4 each visit, or you can buy a membership for $100 for 3 months. write and solve an inequality to find how many

times a person should use the pool so that a membership is less expensive than playing each time.
Mathematics
2 answers:
Vladimir [108]3 years ago
8 0

Answer:

26 times.

Step-by-step explanation:

If the pool charges $4 each visit, after x visits the amount paid would be 4x.

Also, you can buy a membership that costs 100 dollars and it lets you go to the pool as many times as you want for 3 months.

We need to find how many times a person should use the pool so the membership is less expensive than playing each time. To write this we would need that the 100 dollar membership was less than 4x

100

Thus, x should be greater than 25 so the membership is less expensive. In other words, the person should use the pool at least 26 times in those three months so the membership is less expensive than playing each time

ella [17]3 years ago
6 0
$100< $4x
$100/$4<$4x/$4
25<x

$4 * 25 times = $100
So using the pool 26 times would make the membership cheaper than paying each time
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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe
podryga [215]

Answer:

The value  is  n = 384

The correct option is a

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =  0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of   is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally since the sample proportion is not given we will assume it to be

      \^ p = 0.5

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)

=>   n = 384

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

Generally if the level of confidence increases,  the critical value of  \frac{\alpha }{2}  increase and from the equation for margin of error we see the the critical  value varies directly with the margin of error , hence the margin of error  will increase also  

So  If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

8 0
3 years ago
A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats s
Dafna11 [192]

 The combined amount of cats sold is 117.

Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.

The ratio of  Siamese cats to house cats = 4 : 9

Number of Siamese cats = 36

Number of combined cats = c

This equation can be formed using the above information:

4/13 x c = 36

4c = 468

c = 468 / 4

c = 117

A similar question was answered here: brainly.com/question/411732

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3 years ago
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Musya8 [376]

Answer:

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Step-by-step explanation:

There are 4 ways that 2 coins can fall...

Both heads (this satisfies our situation)

1st coin heads, 2nd coin tails

1st coin tails, 2nd coin heads

Both tails (this satisfies our situation)

We have 2 out of 4 ways to satisfy this situation, so our experimental probability is

P = 2/4 which reduces to

 P = 1/2 , or 0.5 as a decimal

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