Answer:
The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.
Step-by-step explanation:
According to the question,
Madera, a middle school student, received some phone calls on one Saturday from 10 a.m. to 10 p.m.
The hours when zero calls were received were most possibly when Madera turned the phone off while playing in a soccer game.
Answer:
sensitivity analysis
Step-by-step explanation:
The ability to examine the variability of a solution due to changes in the formulation of a problem is an important part of the analysis of the results. This type of analysis is called Sensitivity analysis.
It helps us figure out the robustness of a system or model in the presence of an uncertainty
It also increases the relationship between the inputs and outputs from the system or model
Answer:
equation of line is:
y = -2x - 6
Explanation:
The general form of the line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
(a) getting the slope of the line:
slope of the line is calculated using the following rule:
slope of line (m) = (y2-y1) / (x2-x1) = (-24--12) / (9-3) = -2
The equation now becomes:
y = -2x + c
(b) getting the y-intercept:
The two given points belong to the line. Therefore, to get the y-intercept, we will use one of the points and substitute in the equation and solve for c.
I will use the point (3,-12)
y = mx + c
-12 = -2(3) + c
-12 = -6 + c
c = -12 + 6
c = -6
Based on the above, the equation of the line is:
y = -2x - 6
Hope this helps :)
The unknown number is 108.
Step-by-step explanation:
Step 1:
Assume the unknown number is x.
We create an equation from the given data.
One-fourth of the number is 
, seven less than one-fourth of the number is 
. Two times the quantity of seven less than one-fourth of a number is therefore 
.
One-third of the number is 
, four more than one-third of the number is given by 
.
Step 2:
We substitute both equations to determine the value of x.
So the unknown number is 108.
Answer:
B and D
Step-by-step explanation:
5% of 35 can be represented as 5% 
.
To find equations that make this work, we need to find different ways to represent 5%.
5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.
So, 
. Multiplying by 35 gets us 
This means that Choice B is correct.
Another way to represent 5% is as a decimal.
We already know that the fraction form of 5% is . This means that in the decimal, the number 5 will be two place values to the right of the decimal place.
0.<u>0</u><u>5</u>
So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us 
, so choice D works too.
Hope this helped!
