Answer:
30th term of the sequence is -19
Step-by-step explanation:
first term = 10
common difference = 9- 10 = -1
so, nth term = a + (n-1) d
( where n is number of term, a = first term ,
d = common difference. )
- 30th term = 10 + (30-1) × -1
- 30th term = 10 - 29
- 30th term = -19
<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em>
1. 1/5 = x - 9 / x
2. Cross multiply x = 5 (x - 9)
3. Distribute x = 5x - 45
4. Move the variable and change the sign x - 5x = -45
5. Add like terms -4x = -45
6. Divide x = 45 / 4
So the solution is x = 45 / 4 or 11.25
When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution then"it is flatter and wider than the normal distribution."
<h3>What is normal distribution?</h3>
The normal distribution explains a symmetrical plot of data around the mean value, with the standard deviation defining the width of the curve. It is represented graphically as "bell curve."
Some key features regarding the normal distribution are-
- The normal distribution is officially known as the Gaussian distribution, but the term "normal" was coined after scientific publications in the nineteenth century demonstrated that many natural events emerged to "deviate normally" from the mean.
- The naturalist Sir Francis Galton popularized the concept of "normal variability" as the "normal curve" in his 1889 work, Natural Inheritance.
- Even though the normal distribution is a crucial statistical concept, the applications in finance are limited because financial phenomena, such as expected stock-market returns, do not fit neatly within a normal distribution.
- In fact, prices generally follow a right-skewed log-normal distribution with fatter tails.
As a result, relying as well heavily on the a bell curve when forecasting these events can yield unreliable results.
To know more about the normal distribution, here
brainly.com/question/23418254
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Answers:
<u>Problem A:</u> 26.34
<u>Problem B:</u> 90.537
<u>Problem C:</u> 309.02
<u>Problem D:</u> 170.084
Answer: see Steps 1 - 5 (attached)
<u>Step-by-step explanation:</u>
I completed #1 for you. Each image shows one of the steps.
<em>Follow the exact same steps to complete #2 - #5</em>
#6 asks for a double angle.
Add an extra item to step 3: Draw an arc from vertex through the line
--> then draw another arc from B' to the other side of your line (away from the dot) and label that intersection as B''. Use the measure of the vertex to B'' for the remaining steps.
<em>If you need step-by-step images, you will need to post #6 separately as I can only upload 5 images per question.</em>
