Answer: x= -29/43
Step-by-step explanation:
43x+568=539
43x=539-568
43x= -29
43x/43= -29/43
x= -29/43
Answer:
b = -1/10.
Step-by-step explanation:
(2i/2+i)-(3i/3+i)
= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)
= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)
= (-2 + 3) / (6 + 5i - 1)
= 1 / (5 + 5i)
Now we multiply top and bottom by 5 - 5i :
= 5 - 5i / (5 + 5i)(5 - 5i)
= 5 - 5i / 25 -25i^2
= 5 - 5i / 50
= 1/10 - 1/10i
You have to multiply the total number of possibilities for each character on the tag by each other. The first two are letters so there are 26 different possibilities (A-Z) for those characters. The next four are digits, so there are 10 different possibilities for them (0-9). That would give 26 x 26 x 10 x 10 x 10 x 10 = 6,760,000
In x/y form, it would be 150/9 or 9 feet higher in y per 150 ft higher in x.
Answer:
1.2
Step-by-step explanation:
Given that X is Normally distributed random variable with an unknown mean μ and known standard deviation 6
Hence we can say for a sample of size 100, the sample mean will have a std deviation of = ![\frac{6}{\sqrt{100} } =0.6](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B%5Csqrt%7B100%7D%20%7D%20%3D0.6)
Since population std deviation is known we can use Z critical value for finding out the confidence interval
For 95% using (68-95-99.7 rules) we have z critical value =2
Hence margin of error =2(std error) = 1.2
Confidence interval 95%
Lower bound = Mean - margin of error = Mean -1.2
UPper bound = Mean +1.2
Hence , 95% of all of these values of x should lie within a distance of __1.2___ from μ .