Answer:
Step-by-step explanation:
sir in the graph every point is (X,Y) so you should choose consecutive random numbers for the X values for the first point after that put the values you choose In the equations so now you have just numbers in the equation .. add, subtract and multiply at the end you will get a value .. ok this Y for the first point .. mark this point on the graph and continued this process until it reached at least 3 points, and connected between them.
Note : do this with each equation separately and do not connecte between two points for two different equations
the equation with x will become as line
the equation with x² will become as arch
after you finsh drwaing see the points that the tow equation are touching within and write them. Usually it is two points
Answer:
If a 1% level of significance is used to test a null hypothesis, there is a probability of ____ less than 1%______ of rejecting the null hypothesis when it is true
Step-by-step explanation:
Given that a hypothesis testing is done.
Level of significance used is 1%
i.e. alpha = 1%
When we do hypothesis test, we find out test statistic Z or t suitable for the test and find p value
If p value is < 1% we reject null hypothesis otherwise we accept null hypothesis.
So p value can be atmost 1% only for accepting null hypothesis.
So the answer is 1%
If a 1% level of significance is used to test a null hypothesis, there is a probability of ____less than 1%______ of rejecting the null hypothesis when it is true.
Answer:
Step-by-step explanation:
This is of the form

Where P(t) is the ending population, a is the original population, b is the growth rate, and t is time in years. We have everything we need to solve for t.

Let me explain the growth rate quickly. If the exponential function is a growth function, that means (in this particular situation) that we have 100% of the population and we are increasing it by 19%. That makes the growth rate 119%, which in decimal form is 1.19.
Begin by dividing both sides by 40000 to get

To get that t out of its current exponential position, take the natural log of both sides:

and the rules of logs say we can bring the exponent down out front:
ln(2) = t*ln(1.19)
Divide both sides by ln(1.19) to get t alone:

Doing that calculation on your calculator gives you that
t = 3.9846...
but rounding to the nearest tenth gives you that
t = 4.0 years
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:
A
Step-by-step explanation: