Answer:
Type I error: The correct option is (C).
Type II error: The correct option is (D).
Step-by-step explanation:
The type-I-error is the probability of rejecting the null hypothesis when the null hypothesis is true.
The type-II-error is the probability of filing to reject the null hypothesis when in fact it is false.
The hypothesis in this problem can be defined as follows:
Null hypothesis (H₀): The percentage of adults who have a job is equal to 88%.
Alternate Hypothesis (Hₐ): The percentage of adults who have a job is different from 88%.
The type-I-error in this case will be committed when we conclude that the percentage of adults who have a job is different from 88% when in fact it is equal to 88%.
The type-II-error in this case will be committed when we conclude that the percentage of adults who have a job is equal to 88% when in fact it is different than 88%.
Answer:
$16.16
Step-by-step explanation:
multiply the amount of treats by the cost of each treat.
4.5 × 3.59 = 16.155.
rounded up gives you $16.16
1 = 3.59
2= 7.18
3= 10.77
4= 14.36
half or .5 of 3.59 is 1.795
14.36 + 1.795 = 16.155 = rounded up $16.16
The <span>graph of y = 3/(4x-12) is decreasing sloping to the right mostly in the third quadrant whereas the graph of y = 1/x is like a mirror that is present in both quadrant 1 and 2.</span>
Answer: Commutative property of multiplication
Step-by-step explanation: The problem 6 · 1 = 1 · 6 demonstrates the commutative property of multiplication.
In other words, the commutative property of multiplication says that changing the order of the factors does not change the product.
So for example here, 6 · 1 is equal to 6 and 1 · 6 also equals 6.
Since 6 = 6, we can easily see that 6 · 1 must be equal to 1 · 6.
In more general terms, the commutative property of multiplication can be written as a · b = b · a where <em>a</em> and <em>b</em> are variables that can represent any numbers.
Answer:
a) The table of values represents the ordered pairs formed by the elements of the sequence (
) (range) and their respective indexes (
) (domain):

1 6
2 11
3 16
4 21
5 26
b) The algebraic expression for the general term of the sequence is
.
c) The 25th term in the sequence is 126.
Step-by-step explanation:
a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...
The table of values represents the ordered pairs formed by the elements of the sequence (
) (range) and their respective indexes (
) (domain):

1 6
2 11
3 16
4 21
5 26
b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:
(1)
Where:
- First element of the sequence.
- Arithmetic difference.
- Index.
If we know that
and
, then the algebraic expression for the general term of the sequence is:

c) If we know that
and
, then the 25th term in the sequence is:


The 25th term in the sequence is 126.