<span>common difference for the sequence = 1/16
cause
1/4 = 4/16
and
3/8 = 6/16
so
4/16 + 1/16 = 5/16
5/16 + 1/16 = 6/16
</span>
Answer: B) type II error
Step-by-step explanation: whenever hypothesis test is performed it is not possible to be 100% certain about the conclusion or decision made, hence their must be a level of confidence for the conclusion made.
The level of significance (α) usually takes the lower percentage of the area of distribution.
When you reject the null hypothesis instead of accepting it, you commit a type I error, the probability of committing this error is the level of significance (α).
When you accept the null hypothesis when you are suppose to reject it, you commit a type II error and the probability of committing this error is confidence level (β) which is (1- α)
Answer:
The third option is correct



Step-by-step explanation:
Exponential function
The exponential function is usually expressed as

If both C and k are positive, then f is increasing in all of its domain. Same happens if both are negative. They all have one point in common: (0,C)
The graph shows three functions, all increasing and in all of them (given the options for the answer) have C=1 and k=1, so the equation for each one is

When x=1, f(1)=r lets us know the value of r
From the graph we can see that the value of r is the greatest for h(x). The next value of r is that one for g(x). Finally, f(x) has the smallest r. That means that

We only need to check the options to order h,g,f from greatest to lowest. Since (10/3)=3.3, (9/8)=1.12, (7/4)=1.75 then
h(x) must have 
g(x) must have 
f(x) must have 
So the third option is correct



Answer is 150.72 cu.cm.
Let’s find the total cone volume first
Cone volume formula is 1/3 pi r^2 height
We know r = 6
We know height is 12
We will use 3.24 for pi
So
(1/3) (3.14) (6^2) (12) = 452.16
Now we want to find 1/3 of the volume so divide that by 3
Amount of water is 150.72 cu.cm.
Problem solved
Answer:
Sum of two consecutive angle is always 180°
Step-by-step explanation:
In a parallelogram what we can you say about the consecutive angle is that they are supplementary to each other. By supplementary we mean that the sum of the two angles is always 180°