935 of the boxes will weigh 25 oz or less.
The z-score for this value is
Looking this up in a z-table (http://www.z-table.com) we see that the probability of something being less than or equal to this value (the area under the curve to the left) is 0.7794.
Multiply this probability by the number of items:
0.7794(1200) = 935.28 ≈ 935.
Answer:
A = 9x² + 48x + 65
Step-by-step explanation:
Area of a Square Formula: A = lw
Since a square's length is equal to its width, we simply plug it into the formula:
A = (3x + 8)(3x + 8)
Then we simply use FOIL to expand the distribution)
First - 3x(3x) = 9x²
Outside - 8(3x) = 24x
Inside - 8(3x) = 24x
Last - 8(8) = 64
Lastly, we combine like terms
9x² + 24x + 24x + 64
9x² + 48x + 64
Answer:
The slope is 1
Step-by-step explanation:
The slope of the line is also its gradient. A gradient is basically rise/run
In this case the rise is one and the run is also one if you look at the graph...therefore 1/1 equals 1
Answer:
23.9 m
Step-by-step explanation:
The hypotenuse of a right triangle inscribed in a circle is a diameter of the circle. Using Pythagorean theorem:
c² = a² + b²
c² = 3² + 7²
c = √58
The circumference of the circle is pi times the diameter.
C = π√58
C ≈ 23.9
First find the rate or common difference if it exists.
(123-13)/(12-1)
110/11
10 So this essentially form an arithmetic sequence because each term is a constant difference with respect to the previous term.
The sum of an arithmetic sequence, in simplest terms, is the average of the first and last terms times the number of terms, in this case:
(12-1+1)(13+123)/2
12(68)
816
So the player will have matched 816 gems in total for the twelves rounds.