Answer:
Number 9 is C. 1,000 ft^3
Number 10 is B. 144 in^3
Step-by-step explanation:
For both number 9 and 10, we are trying to find volume. Volume is the space within a three dimensional shape. To find the volume you do length × width × height. Knowing this we can start solving.
For number 9, the length is 20 ft, the width is 10 ft and the height/depth is 5 ft. Now we multiply these numbers.
20*10*5 = 1,000
This gives of 1,000. Since this is in feet, we add feet/ft at the end. Also since it is volume, you add ^3
1,000 ft^3
Now lets do the same for number 10
The length is 6, the width is 2 and the height is 12. Now multiply
6*2*12 = 144
This one is in inches so we add inches/in at the end. It is also volume so we add ^3 as well
144 in^3
Answer:
option 2
Step-by-step explanation:
The problem can be solved using Pythagoras' identity for a right triangle.
The angle between due East and due North is 90°
The solution here involves using the Cosine rule.
let x be the direct distance between house and office, then
x² = 17² + 21² - 2(17)(21)cos90° → option 2
Note that since cos90° = 0 the equation reduces to
x² = 17² + 21² ← Pythagoras' identity
Answer:
0.8743 = 87.43% probability that more than one accident occurs per year
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Buchtal, a manufacturer of ceramic tiles, reports on average 3.1 job-related accidents per year.
This means that
What is the probability that more than one accident occurs per year?
This is:
In which
Then
0.8743 = 87.43% probability that more than one accident occurs per year
1. 7(2x+1)
2.3(3m-4)
3.-5(3y+5)
4.4(3b+5)
Answer:
r=-4
Step-by-step explanation:
r-6=6+4r
-4r+r=6+6
-3r=12
3r=-12
r=-12/3
r=-4