Answer:
B
Step-by-step explanation:
yes, we need two numbers that multiplied with each other results in -48.
that means already that one of them has to be positive and the other negative.
that gives us (with all +/- alternating sign combinations)
2 and 24
3 and 16
4 and 12
6 and 8
to pick from there we see that the "middle" term is -2x.
that means that the absolute value of the negative number has to be 2 more than the positive number (so that when adding the intermediate multiplication terms we end up with -2x).
the only choice is therefore 6 and -8.
and that makes B the right answer.
Answer:
Slope (known as m) = -3/2; Y-int (known as b) = 3
Step-by-step explanation:
m = 
m = 
m = 
b = 
Answer:
I believe the answer is 7
Step-by-step explanation:
Just by looking at the answer choices, you can eliminate the last one because it is greater than the original price. And the first one is way too less, so your answer is B
Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation =
= 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:

Substituting the values, we get:

This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%