Answer:
45 feet
Step-by-step explanation:
4 and 1/2 inches
1/2 =5 feet
put the mixed number into an improper fraction
9/2 *5 = 9*5 = 45 feet
Answer:
0.8%
Step-by-step explanation:
Because they are two independent events, the final probability is the product of the probability of each event.
First event:
The complement of a student being male is that he is female.
Therefore, if 60% is male, the remaining 100% is 40%, meaning that 40% of the students are female.
Second event:
If she's taller than 5'4", we're told she has a 2% chance of being a woman.
Therefore the final probability is:
0.4*0.02 = 0.008
That is, the probability that it is female and that it is over 1.6 meters tall is 0.8%.
Answer:
Value of x = 400
Step-by-step explanation:
Joint variation states that describes a situation where a variable depends on two (or more) other variables, and varies directly with some of them.
Given: x varies directly with y and z.
i.e
and ![x \propto z](https://tex.z-dn.net/?f=x%20%5Cpropto%20z)
then we have the joint variation as;
......[1] where k is the constant variation.
Substitute the value of x =1200 when y =20 and z = 30 to solve for k;
![1200 = k (20)(30)](https://tex.z-dn.net/?f=1200%20%3D%20k%20%2820%29%2830%29)
Simplify:
![1200 = 600k](https://tex.z-dn.net/?f=1200%20%3D%20600k)
Divide both sides by 600 we get;
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
Now, substitute k =2 , y =10 and z = 20 to find x;
Using [1] we have;
![x = 2 \times (10)(20) = 2 \times 200](https://tex.z-dn.net/?f=x%20%3D%202%20%5Ctimes%20%2810%29%2820%29%20%3D%202%20%5Ctimes%20200)
Therefore, the value of x is, 400
1. Graph Line 2 onto the same graph.
2) Create a scatter plot of the
3In the figure above, lines l and m are parallel and lines s and t are parallel.