53 - 2(3)
53 - 6
47
Hope this helps!
Answer:
s = 15 over 2 (15/2 fraction) or 7.5
Answer:
Whatever option has a slope of 3/4 and isn't y = 3/4x + 2
Step-by-step explanation:
This means that it has to have a slope of 3/4 (written as 3/4x + b). This is because parallel lines have the same slope; rearranging the first equation gets us y = 3/4x + 2. So, our slope for a parallel line has to be 3/4.
Answer:
The standard error of the mean is 4.5.
Step-by-step explanation:
As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.
The mean of the sample is:

The standard deviation of the sample is calculated as:

Then, we can calculate the standard error of the mean as:

She will use 42 purple beads.
Explanation
We will use a proportion to solve this.
The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads. This gives us 56/x.
Together, we have
4/3 = 56/x
Cross multiply:
4*x = 3*56
4x = 168
Divide both sides by 4:
4x/4 = 168/4
x = 42