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____ [38]
3 years ago
12

Use the summation formula to find a partial sum of a series with the following properties

Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer:

-36,047.

Step-by-step explanation:

Sum of n terms =  a1 .( r^n - 1) / (r - 1)

So Sum of 7 terms =  -11 . ((-4)^7 - 1 / (-4-1)

= -11 *  -16,385 / -5

= -36,047.

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According to records, the amount of precipitation in a certain city on a November day has a mean of inches, with a standard devi
Mekhanik [1.2K]

Answer:

The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is mean amount of inches of rain and \sigma is the standard deviation.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Mean \mu, standard deviation \sigma

n days:

This means that s = \frac{\sigma}{\sqrt{n}}

Applying the Central Limit Theorem to the z-score formula.

Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

What is the probability that the mean daily precipitation will be of X inches or less for a random sample of November days?

The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is mean amount of inches of rain and \sigma is the standard deviation.

5 0
2 years ago
I rlly need this now, show work pls :((
Sunny_sXe [5.5K]

Answer:

1. y=-x-3 2.y=1/3x-4

Step-by-step explanation:

1. 3x+3y=-9

3y=-3x-9

y=-x-3

2. x-3y=12

-3y=-x+12

y=1/3x-4

3 0
3 years ago
Find sum or difference.<br><br>1/6 + 3/8<br><br>A. 4/6<br>B. 4/8<br>C. 4/14<br>D. 13/24
Vaselesa [24]
<span>1/6 + 3/8
= 4/24 + 9/24
= 13/24

answer
</span><span>D. 13/24</span>
7 0
3 years ago
Read 2 more answers
What is the percent of increase from 106 miles to 122 miles?
Elis [28]

Answer:

15.094 %

Step-by-step explanation:

[(122 - 106) /106] 100

(16/106) 100

(0.15094)x100

15.094

8 0
3 years ago
Identify the Domain of each graph or table.
satela [25.4K]

Answer:

4 < x < 14

Step-by-step explanation:

................

3 0
3 years ago
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