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vlabodo [156]
3 years ago
7

What is the length of CD???

Mathematics
1 answer:
QveST [7]3 years ago
6 0
32 is the length of CD
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Find the 95% confidence interval for estimating the population mean μ
AVprozaik [17]

We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.

Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).

Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.

<h3>Confidence Interval Formula</h3>

The formula for constructing a <u>confidence interval for means</u> is as follows:

  • \displaystyle \overline{x} \pm t^*\big{(}\frac{\sigma}{\sqrt{n} } \big{)}

We are given these variables:

  • \overline{x}=50
  • n=60
  • \sigma=10

Plug these values into the formula for the confidence interval:

  • \displaystyle 50\pm t^* \big{(}\frac{10}{\sqrt{60} } \big{)}

<h3>Finding the Critical Value (t*)</h3>

In order to find t*, we can use this formula:

  • \displaystyle \frac{1-C}{2}=A

Calculating the z-score associated with "A" will give us t*.

So, let's plug in the confidence interval 95% (.95) into the formula:

  • \displaystyle \frac{1-.95}{2}=.025

Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:

  • t^*=1.96

<h3>Constructing Confidence Interval</h3>

Now, let's finish the confidence interval we created:

  • \displaystyle 50\pm 1.96 \big{(}\frac{10}{\sqrt{60} } \big{)}

We can calculate the confidence interval, using this formula, to be:

  • \boxed{(47.4697, \ 52.5303)}

<h3>Interpreting the Confidence Interval</h3>

We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.

8 0
2 years ago
HELP PLSSS THIS IS HARD SOMEONE
Oduvanchick [21]

Answer:

scale factor is 3, k=3

Step-by-step explanation:

everything is being multiplied by 3

3 0
3 years ago
3. ms. Johnson placed two different orders with TR's special item store. each order was for 40 jars with the circus logo imprint
denis23 [38]
1.The height is 6 inches ad the width (diameter) is 3 inches!
2. So the jars are Volume ≈  42.41 inches so each boy needs 200 / 42.41 which equals approximately 4.72 inches per jar. So if wach boys have half the amount of jars which is 20 you multiply 20 by 4.72 which is 94.4 inches for each boy!
3 0
3 years ago
Simplify <br><br> -2i sq.root -12
Darina [25.2K]

Answer:

= 4sqrt3

Step-by-step explanation:

-2i sqrt -12

= -2i * i sqrt12 <-- i^2 = -1

= -2i^2sqrt12

= -2(-1)sqrt12

= 2sqrt12

= 2 * 2 sqrt3

= 4sqrt3

6 0
2 years ago
4. The price of a sweater is $5 less than the price of the shirt. If four sweaters and
Anon25 [30]

Answer:

Form an equation:

let x be the price of a shirt

Then, the price of a sweater would be x - 5

So you would have:

4(x - 5) + 3x = 200

simplify

4x - 20 + 3x = 200

7x - 20 = 200

add 20 to both sides

7x = 220

divide both sides by 7

x = about 31.43

That means the cost of the sweater would be 31.43 - 5 = 26.43

4 0
3 years ago
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