Answer:
220 products need to be sold to break it even.
Step-by-step explanation:
550 + 3.00x = 5.50x
550 = 2.50x
220 = x
Answer:
B
Step-by-step explanation:
Mathematically, we shall be using the z-score here
Z-score = (x-mean)/SD
From the question, mean = 80 and SD = 4
So we want to get the option in the question that has a z-score of 1 or below
Let’s look at 75
80-75 = 5 ( this is clearly above 1 standard deviation of 4)
For 77;
80 -77 = 3
This is less than the standard deviation of 4, meaning it is within 1 standard deviation of the mean
Let
x---------> represent the number of miles Troy's has driven
y--------> represent the amount of gas in Troy's truck
we know that
the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

where
m is the slope---------> 
in this problem the slope is equal to 
it's negative because the tank is going to be consumed
assuming he starts with a full tank

substitute in the formula above

therefore
the answer is
the equation 
Answer:
The sum of half of a number and three-fourths is at least five and one quarter
Step-by-step explanation:
It's all about making sense of an English sentence.
"half the sum ..." is different from "the sum of half ..."
And ...
"at least" and "not less than" mean the same (≥)
"not more than" and "at most" mean the same (≤)
_____
Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.
__
"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"
means the same as ...
"The sum of half of a number and three-fourths is at least five and one quarter"
Answer:



Step-by-step explanation:
Given


Solving (a): The mean
Mean is calculated as:

This gives:



Solving (b): The median
Sort the data in ascending order:


The median is:



The 8th item on the sorted dataset is 7; So:

Solving (c): The mode

Because it has a frequency of 3 (more than any other element of the dataset).