Answer:f(x)= 3*1/k
8=3*1/k
K=3/8
When x=2
f(x)=2*3/8
f(x)=3/4
Step-by-step explanation:
Answer:
50/x
Step-by-step explanation:
Answer:
a. [6.6350,7.3950]
b. ME=0.5150
Step-by-step explanation:
a. Given that n=40,
and that:
The required 90% confidence interval can be calculated as:
![\bar x\pm(margin \ of \ error)\\\\\bar x\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\\\\6.88\pm(1.645\times \frac{1.98}{\sqrt{40}})\\\\=[6.3650,7.3950]](https://tex.z-dn.net/?f=%5Cbar%20x%5Cpm%28margin%20%5C%20of%20%5C%20error%29%5C%5C%5C%5C%5Cbar%20x%5Cpm%20z_%7B%5Calpha%2F2%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C6.88%5Cpm%281.645%5Ctimes%20%5Cfrac%7B1.98%7D%7B%5Csqrt%7B40%7D%7D%29%5C%5C%5C%5C%3D%5B6.3650%2C7.3950%5D)
Hence, the 90% confidence interval for the population mean cash value of this crop is [6.6350,7.3950]
b. The margin of error at 90% confidence interval is calculated as:

Hence, the margin of error is 0.5150
The value of x in the given expression can be either -41 or 45. The correct option is B.
<h3>What is Absolute Value?</h3>
An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.
Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.
(1/5)(x-4) - 3 = 6
(x/5) - (4/5) - 3 = 6
(x - 4 - 15)/5 = 6
x - 4 -15 = 30
x = 30 + 15 + 4
x = 45
(1/5)(-x+4) - 3 = 6
(-x/5) + (4/5) - 3 = 6
(- x + 4 - 15)/5 = 6
- x + 4 -15 = 30
-x = 30 + 15 - 4
-x = 41
x = -41
Hence, the value of x in the given expression can be either -41 or 45.
Learn more about Absolute value here:
brainly.com/question/1301718
#SPJ1