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s2008m [1.1K]
3 years ago
14

We draw a random sample of size 36 from a population with the standard deviation 3.5. if the sample mean is 27, what is a 95% co

nfidence interval for the population mean?
Mathematics
1 answer:
Schach [20]3 years ago
5 0
95% refers to 2 standard errors from sample mean (SE)

SE = \frac{s}{\sqrt{n}} = \frac{3.5}{\sqrt{36}} = \frac{3.5}{6} = 0.583

Confidence interval is:
[27 -2(.583), 27+2(.583)]
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Elimination <br><br> 3x + 4y = 2<br> 4x - 4y = 12
pishuonlain [190]

To do this, add the equations together like this,

3x + 4y = 2  plus

4x - 4y = 12

-x = 14

Multiply the negative sign to both sides because the x cannot be a negative.

x = -14

Now plug in -14 for a x value in one equation, like this to get the y value:

3(-14) + 4y = 2

-42 + 4y = 2

Add 42

4y = 44

y = 11

Your x and y values are:

x = -14

y = 11  

6 0
3 years ago
Graph the solution of liner equality 3y-2x less then or equal to 12
Svetradugi [14.3K]

Given the inequality;

3y-2x\leq12

Let's convert it to slope intercept form;

\begin{gathered} 3y-2x\leq12 \\ Add\text{ 2x from both sides and divide both sides by 3;} \\ 3y-2x+2x\leq12+2x \\ 3y\leq2x+12 \\ \frac{3y}{3}\leq\frac{2x}{3}+\frac{12}{3} \\ y\leq\frac{2}{3}x+4 \end{gathered}

So, the slope of the line is 2/3 which is positive, and the intercept on the y axis is 4.

5 0
1 year ago
What is the radius of a circle with circumference 17mm? Round to nearest tenth. Use 3.14
WINSTONCH [101]
     C = 2πr
   17 = 2(3.14)(r)
   17 = 2(3.14r)
   17 = 6.28r
 6.28   6.28
2.71 ≈ r
5 0
4 years ago
Please help ASAP!!!! 20 PTS
coldgirl [10]

The angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.

<h3>How to calculate the angle?</h3>

It should be noted that the image shows the shooting angles arrangements. Also, π = 180°.

In this case, the value of the angle will be:

= 12π/18

= (12 × 180) / 18

= 12 × 10

= 120°

Therefore. the angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.

Learn more about angles on:

brainly.com/question/25770607

6 0
2 years ago
Find the discounted price, to the nearest cent, for a portable CD player that sells for $59.95 and is on sale for 30% off.
mars1129 [50]

Answer:

$ 41.97

Step-by-step explanation:

59.95x30%=17.98

59.95-17.98=41.97

7 0
3 years ago
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