Given:
The function is
To find:
The inverse of the given function.
Solution:
We have,
Substitute m(x)=y.
Interchange x and y.
Add square of half of coefficient of y , i.e., 
on both sides,
![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Taking square root on both sides.
Add 
on both sides.
Substitute 
.
We know that, negative term inside the root is not real number. So,
Therefore, the restricted domain is and the inverse function is .
Hence, option D is correct.
Note: In all the options square of is missing in restricted domain.
Answer:
Binomial distribution requires all of the following to be satisfied:
1. size of experiment (N=27) is known.
2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)
3. probability (p=0.14) remains constant through trials.
4. trials are independent, and random.
Binomial distribution can be used as a close approximation, with the usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).
P(x)=C(N,x)*p^x*(1-p)^(n-x)
where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.
So we need the probability of <em>at most one defective</em>, which is
P(0)+P(1)
= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)
=1*1*0.0170 + 27*0.14*0.0198
=0.0170+0.0749
=0.0919
Answer:
x = 100 degrees
Step-by-step explanation:
There are 360 degrees total in this figure. Since 160 is already shown, we can subtract it from 360 to solve for x. 360 - 160 = 200. So, 200 degrees is split among the remaining values, which are 2 x's. Since each x has the same value, we can divide 200 evenly among the two of them. 200/2 = 100. So, x = 100.
P.S.: Sorry if this is long-winded, I haven't taken geometry in a while. I hope I explained it well enough for you and other Brainly users.
Answer:
I do not know how it wants the answer, but it is -4.1 repeating.
I am guessing you meant solve for z too? If there are multiple choice I can help choose the right one.
Step-by-step explanation:
-32>5+9z
subtract 5 from both sides
-37>+9z
then divide 9 from both sides
-4.1111 repeating > z
