Answer:
c = -12
Step-by-step explanation:
Quadratic Standard Form: ax² + bx + c
Step 1: Write equation
3x² + 6x = 12
Step 2: Subtract 12 on both sides
3x² + 6x - 12 = 0
Here, we have the standard form of the quadratic. We see that our c = -12
Step-by-step explanation:
Let's represent the number of mochas bought with the variable
, and the number of lattes bought with the variable
.
Since there are
students, the total number of mochas and lattes bought must be
. This can be represented with the following equation:

We can also set up another equation based on the total amount spent on the coffe:

If we rearrange the first equation, we can solve for
:

If we substitute this into the second equation, we can solve for
:





Subtituting this back into the original equation, we can solve for
:



Therefore, 9 mochas and 14 lattes were bought.
Answer:
1/4
Step-by-step explanation:
5/20 = 1/4
hope this helps
Answer:
A
The test statistics is 
B
The Null and Alternative hypothesis are
and 
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is 
The sample standard deviation is 
The level of significance is 
Given that the value which the manufacturer gave the automobile is 47.2 and it is believed that this is not correct, then
The Null Hypothesis is

The alternative Hypothesis is

The test statistics can be mathematically evaluated as

substituting values


1/10*1700000 = 1700000/10 =170000