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Minchanka [31]
3 years ago
6

Please help me fast i need help please

Mathematics
1 answer:
lina2011 [118]3 years ago
8 0
The distribution is symmetric, I had the same exercise!!
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Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar
klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack

Where (from tables):

Z_{0.99}=2.33

Finally, the interval at 98% confidence level is:

CI(\mu)=\lbrack28.94,31.06\rbrack

4 0
1 year ago
Show what is 12/36 as a simplified fraction
ZanzabumX [31]
The answer is 1/3 divide 12 by 12 and 36 by 12
7 0
3 years ago
Read 2 more answers
Please help! thanks so much​
Stels [109]

Answer:

See below.

Step-by-step explanation:

First, we can see that \lim_{x \to 2}  (f(x))= -1.

Thus, for the question, we can just plug -1 in:

\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1}  =und.

Saying undefined (or unbounded) will be correct.

However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, f(x) will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1}  = +\infty

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.

4 0
3 years ago
What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 2 over x squared plus x minus 12?
andrezito [222]

The correct answer is C: 1/(x + 4)(x - 5)


   Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick

Look at the factors of the right number (In this case, -10 and -12)

-10                   -12

1  * -10            1 * -12

-1 * 10             -1 * 12

-2 * 5             -2 * 6

2 * -5              2 * -6

                      -3 * 4

                       4 * -3


Now for part 2

Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).

2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is

x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)

Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.

8 0
3 years ago
Which of these graphs represents the inequality x <10
PtichkaEL [24]

Answer:

There are no graphs, but the graph should look lyke this:

An open circle on the point "10"

And from the 10, the arrow should be going left, towards the negatives, or smaller numbers than the ten

8 0
3 years ago
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