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frez [133]
3 years ago
13

which function grows at fastest rate for increasing values of x? h(x) = 6x^2+1 , f(x) = 9x +14, g(x)= 4^x

Mathematics
2 answers:
serious [3.7K]3 years ago
8 0

Answer: It's g(x) = 4^x

mezya [45]3 years ago
7 0
Hi there! The answer is g(x) = 4^x.

The function g(x) is an exponential function, and these functions grow faster than linear or quadratic formulas.
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Which of the following pairs of functions are inverses of each other?
aliina [53]
Answer:

A or C

Step by Step Explanation:

7 0
3 years ago
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A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
VMariaS [17]

Answer:

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

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=19.1 represent the sample mean

\mu population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 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 critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=9-1=8

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that t_{\alpha/2}=

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

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

5 0
3 years ago
I need help with 8th grade math please hurry and correct answer please 40 points
scoundrel [369]

Answer:

2664.3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 πr³

Multiply the radius (which is the diameter divided by 2), 8.6 by itself 3 times, and them multiply it by pi and 4/3 to achieve a volume of 2664.31 or aproximatley 2664.3.

8 0
2 years ago
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What are the potential solutions of In(x2 - 25) = 0?
Paha777 [63]

Answer:

x=\pm\sqrt{26}

Step-by-step explanation:

ln(x^2-25)=0

e^{ln(x^2-25)}=e^0

x^2-25=1

x^2=26

x=\pm\sqrt{26}

7 0
3 years ago
If g(x) = 2x + 4, find g(1).
JulijaS [17]
G(1) = 2(1) + 4 = 6
g(1) = 6
6 0
3 years ago
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