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Maslowich
3 years ago
11

​A college student only saves quarters and dimes in her piggy bank. She empties out her piggy bank at the end of each month. Thi

s month there are 28 quarters and dimes. The total value of the coins is $4.05. How many quarters and dimes does the college student have?
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0
For this case, the first thing we must do is define variables:
 x = number of quarters
 y = number of dimes
 We now write the system of equations:
 x + y = 28
 0.25x + 0.10y = 4.05
 Solving the system of equations we have:
 x = 8.33
 y = 19.66
 Rounding:
 x = 8
 y = 20
 Answer:
 
the college student has:
 
8 quarters
 
20 dimes
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3 years ago
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andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 30 pound

Sample mean, \bar{x} = 29.1 pounds

Sample size, n = 20

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Sample standard deviation, s =  2 pounds

First, we design the null and the alternate hypothesis

H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}

We use one-tailed(left) t test to perform this hypothesis.

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Option D) Yes, because the test statistic is -2.01

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