Answer:
Box E has a greater volume than Box D.
Step-by-step explanation:
Step 1 : Find the volume of Box D.
The formula for volume of a rectangular prism such as this is
height * width * depth
Knowing this, let's substitute the values.
3 * 5 * 1 = 15
The volume of box d is 15 cubic units.
Step 2 : Find the volume of Box E.
height * width * depth
4 * 4 * 1 = 16
The volume of box e is 16 cubic units. Therefore box E has a greater volume than box D.
Answer:
0.15 for each message
Step-by-step explanation:
The charge per message can be found by dividing the charge by the number of messages. Using the first line of the table, we get ...
charge per message = (total charge)/(number of messages) = $38.40/256
charge per message = $0.15
Alyssa is charged 0.15 for each text message.
_____
We can check other lines of the table to see if charges are really proportional:
$26.55/177 = $0.15
$31.35/209 = $0.15
Data:
x: number of months
y: tree's height
Tipical grow: 0.22
Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)
In this case the slope (m) or rate of change is the tipical grow.
m=0.22
To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

Use the slope(m) and y-intercept (b) to write the equation:

A) This line's slope-intercept equation is: y=0.22x+17.2
B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

Then, after 29 months the tree would be 23.58 feet in height
C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

Then, after 58 months the tree would be 29.96feet tall
Answer:
The average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802
Step-by-step explanation:
We are given that
Standard deviation,
ounces
We have to find the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag.

Assume the bag weight distribution is bell-shaped
Therefore,

We know that

Using the value of z
Now,




Hence, the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802