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Nat2105 [25]
3 years ago
14

Write a quadratic equation whose solutions are 7i and -7i

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0
Because -7i and 7i are the solutions to the quadratic equation, you can first write it in factored form (x-7i)(x+7i). The you multiply this out and get x^{2} +49.
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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
1 year ago
-<br> The midpoint of AB = ([?],[ ])<br> M = (x1+x2Yiy2
Mkey [24]

Answer:M(-0,5;0)

Step-by-step explanation:

6 0
2 years ago
I need to know how to solve this question please help!
lorasvet [3.4K]

Answer:

-3

Step-by-step explanation:

log7 (1/343)

log7(7^-3)

-3

3 0
3 years ago
The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.
Helga [31]

Answer:

I believe it's D.

Lmk if I was right, cause I'm 98% sure on this

4 0
2 years ago
Help me with this please and thank you!! :)
Ann [662]

Answer:

Step-by-step explanation:

  • A \cap C denotes the set of elements in both A and C, which is \{20, 24, 28\}.
  • B^{C} denotes the complement of set B, which is the set of all elements that are in the universal set that are not in set B. In this case, this set is \{3, 4, 5, 6, 8, 11, 13, 16, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28\}
7 0
1 year ago
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