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san4es73 [151]
3 years ago
6

Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirt from the ev

ent for close friends. she is taking $200.00 to the festival. what is the maximum number of t-shirts can purchase?
Mathematics
1 answer:
prohojiy [21]3 years ago
4 0
First, we have to calculate the remaining amount of money after the cost of the ticket. It is 200 - 87.96 = 112.04 Dividing this number to 30, we can find the maximum number of t-shirts she can buy. It is less 4 and more than 3. So that, the final answer is 3. 
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The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked
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Answer:

a) The 99% confidence interval would be given by (24.409;24.979)  

b) n=464

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Part a

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=47-1=46  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,46)".And we see that t_{\alpha/2}=2.01  

Now we have everything in order to replace into formula (1):  

525-2.01\frac{75}{\sqrt{47}}=503.01  

525+2.01\frac{75}{\sqrt{47}}=546.99  

So on this case the 95% confidence interval would be given by (503.01;546.99)

Part b

The margin of error is given by this formula:  

ME=t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

And on this case we have that ME =7 msec, we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{t_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, t_{\alpha/2}=2.01 from part a, replacing into formula (2) we got:  

n=(\frac{2.01(75)}{7})^2 =463.79 \approx 464  

So the answer for this case would be n=464 rounded up to the nearest integer  

8 0
3 years ago
Francisco is making an effort to drink more water, and has set a goal of 2 liters per day. He wants to know the volume of the wa
GarryVolchara [31]

Answer:

The volume of water bottle Francisco takes to school = 1.0048 liters

Step-by-step explanation:

The dimensions of the water bottle are given :

The Height of the water bottle is 20 cm  

⇒ h = 20 cm

The Radius of the water bottle is 4 cm

⇒ r = 4 cm

⇒ Volume of the water bottle = π·r²·h

⇒ Volume = 3.14 × 4² × 20

⇒ Volume = 1004.8 cm³

Now, 1000 cm³ = 1 liter

⇒ 1004.8 cm³ = 1.0048 liter

Hence, The volume of water bottle Francisco takes to school = 1.0048 liters

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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