Answer:
Addition and subtraction are inverse operations, Multiplication and division are inverse operations.Another pair of inverse mathematical operations is raising a number to an exponent "n" and taking the nth root of the number.
Answer:
The delivery person can bring up max 16 boxes at one time.
Step-by-step explanation:
The elevator can only hold max 850 lbs, and the delivery man weighs 180 lbs.
850-180=670
That means the delivery man can have up to 670 lbs of boxes on the elevator.
670/40=16.75
Which means that the delivery man can hold up to 16 boxes max at one time.
Answer:
Correlation is a measure of linear relationship.
Step-by-step explanation:
We are given that a correlation of 0.793 was found between the items answered and the mean score in a test.
- Correlation helps us to to know how to variables are related to each other.
- It is a statistical technique that help us to know type of relation between two variable. It may be a direct relation or a inverse relation.
- In other word, correlation is basically a measure of linear relationship between two variables.
- The correlation ranges from -1 to 1. A correlation between 0.7 and 1 is considered to be a strong correlation.
- A correlation of 0.793 means that there is a strong linear relationship between the two variables.
- Yes, there is a linear relationship between the number of questions answered and the mean score of test.
- So, it can be said as the number of questions answered increases, the mean score increases as well.
Answer:
(b), (d) and (e)
Step-by-step explanation:
Given

See attachment for 
Required
Select true statements from the given options
(a)
= days the bacteria reaches 30000
We have:

In this case:
and 
So, we have:


Using a calculator, we have:

So:

The above equation is false.
(a) is not true
(b) The graph shows that 
We have:

Let t = 3
So;

From the graph, 
So:


Take natural logarithm of both sides

This gives:

(b) is true
(c)
is the logarithm form of 
We have:

Take natural logarithm of both sides

This gives:


(c) is false
(d)
and 
From the graph, we have:
--- rough readings
This implies that:
is true
Because 
Take natural logarithm of both sides

Rewrite as:

We have:

Take natural logarithm of both sides



Substitute
in 

(d) is true
(e) The graph shows that 
We have:

Let t = 2.3
So;

From the graph,
---- rough readings
So:


Take natural logarithm of both sides

This gives:

(e) is true