Answer:
1.641× 10^-3 pounds/ cubic inch
Step-by-step explanation:
Density= mass / volume
Mass of the material= 9 kilograms
Volume= 7 cubic feet
Density= 9/7= 1.286 kg/ ft^3
Density= 1.286 kg/ ft^3
To Convert to pounds per inch
1 kg/ ft^3 = 0.00128 pound / cubic inch
1.286 kg/ ft^3 = X pounds/ cubic inch
X=( 1.286 × 0.00128)
= 0.0016407087 pounds/ cubic inch
= 1.641× 10^-3 pounds/ cubic inch
Hence,this density in pounds per inch is 1.641× 10^-3 pounds/ cubic inch
Answer: 5/12 of the whole pizza
So we start we the whole pizza = 1
Then he ate 3/8:
1 - 3/8
And then 2/3 of what was left:
2/3(1 - 3/8)
2/3 - 1/4
8/12 - 3/12
5/12
Answer:

Step-by-step explanation:
We have been given that an arrow is shot straight up from a cliff 58.8 meters above the ground with an initial velocity of 49 meters per second. Let up be the positive direction. Because gravity is the force pulling the arrow down, the initial acceleration of the arrow is −9.8 meters per second squared.
We know that equation of an object's height t seconds after the launch is in form
, where
g = Force of gravity,
= Initial velocity,
= Initial height.
For our given scenario
,
and
. Upon substituting these values in object's height function, we will get:

Therefore, the function for the height of the arrow would be
.
Step-by-step explanation:
G = (z-s) ÷ r
G × r = (z- s)
Gr + s = z
Answer:
0.1971 ( approx )
Step-by-step explanation:
Let X represents the event of weighing more than 20 pounds,
Since, the binomial distribution formula is,

Where, 
Given,
The probability of weighing more than 20 pounds, p = 25% = 0.25,
⇒ The probability of not weighing more than 20 pounds, q = 1-p = 0.75
Total number of samples, n = 16,
Hence, the probability that fewer than 3 weigh more than 20 pounds,




