Answer:
![75= 119 -1.96 \sigma](https://tex.z-dn.net/?f=%2075%3D%20119%20-1.96%20%5Csigma)
![\sigma = \frac{75-119}{-1.96}= 22.45](https://tex.z-dn.net/?f=%20%5Csigma%20%3D%20%5Cfrac%7B75-119%7D%7B-1.96%7D%3D%2022.45)
And tha's equivalent to use this formula:
![163= 119 +1.96 \sigma](https://tex.z-dn.net/?f=%20163%3D%20119%20%2B1.96%20%5Csigma)
![\sigma = \frac{163-119}{1.96}= 22.45](https://tex.z-dn.net/?f=%20%5Csigma%20%3D%20%5Cfrac%7B163-119%7D%7B1.96%7D%3D%2022.45)
Step-by-step explanation:
For this case the 95%of the values are between the following two values:
(75 , 163)
And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:
![X \sim N( \mu, \sigma)](https://tex.z-dn.net/?f=%20X%20%5Csim%20N%28%20%5Cmu%2C%20%5Csigma%29)
We can estimate the true mean with the following formula:
![\mu = \frac{75+163}{2}= 119](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cfrac%7B75%2B163%7D%7B2%7D%3D%20119)
Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:
![75= 119 -1.96 \sigma](https://tex.z-dn.net/?f=%2075%3D%20119%20-1.96%20%5Csigma)
![\sigma = \frac{75-119}{-1.96}= 22.45](https://tex.z-dn.net/?f=%20%5Csigma%20%3D%20%5Cfrac%7B75-119%7D%7B-1.96%7D%3D%2022.45)
And tha's equivalent to use this formula:
![163= 119 +1.96 \sigma](https://tex.z-dn.net/?f=%20163%3D%20119%20%2B1.96%20%5Csigma)
![\sigma = \frac{163-119}{1.96}= 22.45](https://tex.z-dn.net/?f=%20%5Csigma%20%3D%20%5Cfrac%7B163-119%7D%7B1.96%7D%3D%2022.45)
<span>The
<u>correct answer</u> is:
350 ml.
Explanation<span>:
Let x be the amount in the fifth container.
The mean is found by adding all of the amounts together and dividing by the number of containers (in this problem, 5). We know that the total from the other 4 containers is 2750; add this to x, our unknown number. Then we divide by 5 to arrive at our answer of 620.
Algebraically,
</span></span>
![\frac{2750+x}{5}=620](https://tex.z-dn.net/?f=%5Cfrac%7B2750%2Bx%7D%7B5%7D%3D620)
<span><span>
To solve, multiply both sides by 5:
</span></span>
![\frac{2750+x}{5}\times 5=620\times 5 \\ \\2750+x=3100](https://tex.z-dn.net/?f=%5Cfrac%7B2750%2Bx%7D%7B5%7D%5Ctimes%205%3D620%5Ctimes%205%0A%5C%5C%0A%5C%5C2750%2Bx%3D3100)
<span><span>
Subtract 2750 from both sides:
2750+x-2750=3100-2750
x=350.
There are 350 ml in the fifth container.</span></span>
Answer:
if u divide it then slop it u will get your answer
<h2>
Explanation:</h2>
As I understand, the given equation is:
![5 y = x-1](https://tex.z-dn.net/?f=5%20y%20%3D%20x-1)
So we need to write this into general form. The general form of the equation of a line is given by:
![Ax + By + C = 0](https://tex.z-dn.net/?f=Ax%20%2B%20By%20%2B%20C%20%3D%200)
Where A and B can't be zero at the same time. So subtracting 5y from both sides:
![5y-5y = x-1-5y \\ \\ 0=x-1-5y \\ \\ \\ Arranging: \\ \\ \boxed{x-5y-1=0} \\ \\ \\ So: \\ \\ A=1 \\ \\ B=-5 \\ \\ C=-1](https://tex.z-dn.net/?f=5y-5y%20%3D%20x-1-5y%20%5C%5C%20%5C%5C%200%3Dx-1-5y%20%5C%5C%20%5C%5C%20%5C%5C%20Arranging%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7Bx-5y-1%3D0%7D%20%5C%5C%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20A%3D1%20%5C%5C%20%5C%5C%20B%3D-5%20%5C%5C%20%5C%5C%20C%3D-1)
The value of
is 2500, when
and
.
Given that,
and
.
We need to find the value of
.
<h3>What is an
arithmetic sequence?</h3>
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Now, to find the value of
:
![a_{2} =5a_{2-1}=5a_{1}=5 \times4=20](https://tex.z-dn.net/?f=a_%7B2%7D%20%3D5a_%7B2-1%7D%3D5a_%7B1%7D%3D5%20%5Ctimes4%3D20)
![a_{3} =5a_{3-1}=5a_{2}=5 \times20=100](https://tex.z-dn.net/?f=a_%7B3%7D%20%3D5a_%7B3-1%7D%3D5a_%7B2%7D%3D5%20%5Ctimes20%3D100)
![a_{4} =5a_{4-1}=5a_{3}=5 \times100=500](https://tex.z-dn.net/?f=a_%7B4%7D%20%3D5a_%7B4-1%7D%3D5a_%7B3%7D%3D5%20%5Ctimes100%3D500)
![a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500](https://tex.z-dn.net/?f=a_%7B5%7D%20%3D5a_%7B5-1%7D%3D5a_%7B4%7D%3D5%20%5Ctimes500%3D2500)
Therefore, the value of
is 2500.
To learn more about arithmetic sequence visit:
brainly.com/question/15412619.
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