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marysya [2.9K]
3 years ago
15

If you apply the changes below to the absolute value parent function, f(x) = |x|, what is the equation of the new function?Shift

4 units to the right.Shift 6 units up.
A. g(x) = |x – 4| + 6

B. g(x) = |x – 6| + 4

C. g(x) = |x + 6| + 4

D. g(x) = |x + 4| + 6
Mathematics
2 answers:
grin007 [14]3 years ago
7 0
G(x)=|x-4|+6

answer: A





Regards M.Y.
ss7ja [257]3 years ago
6 0

Answer:

A. g(x) = |x – 4| + 6

Step-by-step explanation:

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Step-by-step explanation:im not good at long answers but it should push each other away.

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4 years ago
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5 0
4 years ago
Variable: Temperature
saul85 [17]
  • The 20th percentile represent the temperature value which is less than or equal to the 20% of the temperature values in the distribution.
  • The 20th percentile temperature is 36.5°C which is Mr. Whitney's temperature.
  • The mean temperature value in °Fahrenheit is 98.249°F
  • The standard deviation value of temperature in °F is 32.734°F

The 20th percentile represents the score at which less than or equal to 20% of the scores in a distribution may be found. This is the score at which less than or equal to 20% of the temperature values in the distribution may be found.

Mr. Whitney's temperature :

20th percentile ;

20% of (n)

Where n = count of temperature values = 130

20% × 130 = 26th term

The 26th falls in 36.5 temperature value.

The mean temperature reading in degree Fahrenheit :

°F = (9/5)°C + 32

Mean in °C = 36.805

°F = (9/5) × 36.805 + 32

°F = 66.249 + 32

= 98.249°F

The standard deviation of temperature reading in degree Fahrenheit :

°F = (9/5)°C + 32

Standard deviation in °C = 0.408

°F = (9/5) × 0.408 + 32

°F = 0.7344 + 32

= 32.7344°F

Learn more :

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6 0
3 years ago
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
ale4655 [162]

Answer:

6.26-2.01\frac{2.47}{\sqrt{50}}=5.56    

6.26+2.01\frac{2.47}{\sqrt{50}}=6.96    

So on this case the 95% confidence interval would be given by (5.56;6.96)

Step-by-step explanation:

Previous concepts

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".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

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 mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=6.26

The sample deviation calculated s=2.47

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

df=n-1=50-1=49

Assuming a Confidence of 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(0.025,49)".And we see that t_{\alpha/2}=2.01

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

6.26-2.01\frac{2.47}{\sqrt{50}}=5.56    

6.26+2.01\frac{2.47}{\sqrt{50}}=6.96    

So on this case the 95% confidence interval would be given by (5.56;6.96)    

6 0
3 years ago
Which statement is NOT TRUE about the two points (6, 9) and (6, −9) on a coordinate plane?
zepelin [54]

Answer:

The y-coordinates are the same

Step-by-step explanation:

8 0
3 years ago
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