Answer:
16.5 square units
Step-by-step explanation:
You are expected to integrate the function between x=1 and x=4:
__
<em>Additional comment</em>
If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.
The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.
This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...
area = 4.5 +3×4 = 16.5 . . . square units
Answer:
There are sixteen ounces in a pound, so 25 pounds (lbs) is 400 ounces (oz). 400>384. So, 25 lbs is bigger than 384 oz
Step-by-step explanation:
Answer:
The equation is in the form 268 = L + 225 and the points of left - handed shots are 43 .
Step-by-step explanation:
As given
Eloise scored a total of 268 points during the basketball season.
Of her total points, L points came from left-handed shots.
She scored 225 points with right-handed shots.
Than the equation becomes
Total points = Left handed points + Right handed points
268 = L + 225
Solving the equation
L = 268 - 225
L = 43
Therefore the equation is in the form 268 = L + 225 and the points of left - handed shots are 43 .
Answer:
P = 0.0008 (non rounded answer is 0.000771605)
Step-by-step explanation:
You first need to determine how many different ways you can roll a 7 using 2 dice. You options are...
First Die Second Die
1 6
2 5
3 4
4 3
5 2
6 1
There are six different ways to roll a 7. If you do the same for all possible numbers, you will see that there are 36 total options when rolling two dice. The first die has six options, and the second die also has 6 options. 6x6 = 36. (This is the fundamental counting principal you have have leared in statistics)
So the chances of rolling a 7 one time with two dice is 1/6. Since repeated rolling of dice is an independent event (any roll has no effect on the next roll), you multiply the probabilities of each event.
So the probability of rolling a 7 four times in a row is
(1/6)(1/6)(1/6)(1/6), which simplifies to 1/6^4, or 1/1296,
Probability is written in decimal form, and usually rounded to 4 decimal places.
1/1296 = 0.000771605, or 0.0008 rounded to 4 decimals
