Answer:
The correct graph is graph E.
Step-by-step explanation:
We can tell this because we know the graph must stay below 3. So any graph over 3 gets thrown out. We also know that it must not go further down than -3. This is because any number over -3 as an input, when taking an absolute value, would be greater than 3.
Graph E shows numbers that are all less than 3 and greater than -3.
Answer:
15 5/8 ft^3
Step-by-step explanation:
Volume of a cube = l x b x h
Given the Length of sides is
2 1/2
Change 2 1/2 to an improper fraction.
It becomes 5/2
Volume = 5/2 x 5/2 x 5/2
Multiply through
= 125/8
= 15 5/8 ft^3
Answer:
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.
The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Answer:
80 cm
Step-by-step explanation:
To find the length of both segments together, convert the lengths into one unit measure. Convert 500 mm into centimeters by dividing it by 10. 500/10 = 50 cm. Now add 30 + 50 = 80 cm. The segment is 80 cm long.