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Annette [7]
3 years ago
6

Describe a real-world situation that can be represented by a linear relationship?

Mathematics
1 answer:
taurus [48]3 years ago
5 0
Every few days, on my way home from work, I pull into Ahmad's
Friendly Fuel and fill up my car's gas tank. 

His price has been $2.29 per gallon for almost 4 years now, and it still is. 

I don't always buy the same amount of gas, but no matter how much I buy,
my cost always fits the linear equation ...

           Cost  =  (2.29) · (number of gallons)            dollars.
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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
Serggg [28]

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
Factor 2x^2 + 7x + 3
Vlad1618 [11]

Answer: (x - 3) (2x-1)

8 0
3 years ago
Read 2 more answers
Acellus
steposvetlana [31]
Format: y = mx + b
m = slope, b = y intercept
The answer is y = x + 2
4 0
3 years ago
What is x and the measurements?
nikitadnepr [17]

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the measures of the 3 sides.

Sum the sides and equate to 75, that is

2x - 9 + 3x + 4 + 2x + 3 = 75, that is

7x - 2 = 75 ( add 2 to both sides )

7x = 77 ( divide both sides by 7 )

x = 11

Thus

AB = 2x - 9 = 2(11) - 9 = 22 - 9 = 13 m

BC = 3x + 4 = 3(11) + 4 = 33 + 4 = 37 m

AC = 2x + 3 = 2(11) + 3 = 22 + 3 = 25 m

7 0
3 years ago
Read 2 more answers
A rectangle has a width of 59 centimeters and a perimeter of 238 centimeters. What is the rectangle's length?
Mademuasel [1]

Answer:

60 cm

Step-by-step explanation:

2x the width and 2x the length gives you the perimeter. This can be represented by the equation:

2w + 2L = P

Use the information given in the word problem to fill in the variables.

2(59) + 2L = 238

118 + 2L = 238

move 118 to the other side of the equation.

2L = 238 - 118

2L = 120

move 2 to the other side of the equation.

L = \frac{120}{2}

L = 60

5 0
2 years ago
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