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Maurinko [17]
2 years ago
13

one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $2

5 a month. at what month is the total cost of both memberships the same?
Mathematics
2 answers:
Ivenika [448]2 years ago
3 0

Answer:

<h2>3 Months</h2>

Step-by-step explanation:

Alekssandra [29.7K]2 years ago
3 0

Answer:

3 months

Step-by-step explanation:

G1= 10 m +45

G2=25

10 m + 45= 25 m

10 m - 25 m = -45

-15 m/-15=-45/-15

m=3

∴ it's 3 months

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3 years ago
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Step-by-step explanation:

5 0
2 years ago
The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

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σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

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Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

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The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

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3 years ago
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