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Sergeu [11.5K]
3 years ago
7

Use a graphing tool to graph the function and complete the sentences based on the graph of the function f (x) = StartLayout Enla

rged left-brace first row StartFraction 3 Over x EndFraction, x less-than 1 second row 3, x greater-than-or-equal-to 1 EndLayout.
The function has a point of discontinuity when x =
where, from the left, the function approaches
.
Mathematics
2 answers:
Ronch [10]3 years ago
8 0

Answer:

0, negative infinity

ahrayia [7]3 years ago
7 0

Answer:

0, negative infinity

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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
For this question, f(x) = 4kx2 + (4k + 2)x + 1, where k is a real constant.
snow_tiger [21]

Answer:

fghhjhhfgkus+($+#($!?$)

6 0
2 years ago
Calculate a length of a square ground of perimeter 160m​
wlad13 [49]
Square Perimetre = Side x 4
So a length of a square ground is 160/4 = 40 (m)
5 0
3 years ago
Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the equations of the
LenKa [72]

Answer:

3x - y = 1

Step-by-step explanation:

This will be the same equation written in a different way'

The original equation is:

y = 3x - 1

0 = 3x - y - 1

3x - y = 1.

3 0
3 years ago
The graph below shows the amount of money that a student has in the bank at the end of each week.
storchak [24]

Answer:

The student will have 130 dollars in the bank at the end of week 11.

Step-by-step explanation:

Pattern:

The pattern given by this graphic is that:

For each passing week, the student will have $10 more in the bank than at the end of the previous week. So, following this pattern:

At the end of 6 weeks, he will have $80.

At the end of 7 weeks, he will have $90.

At the end of 8 weeks, he will have $100.

At the end of 9 weeks, he will have $110.

At the end of 10 weeks, he will have $120.

At the end of 11 weeks, he will have $130.

The student will have 130 dollars in the bank at the end of week 11.

7 0
3 years ago
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