You would add the 2 fractions. Since 2/16 equals 1/8 you could add 1/8 plus 4/8. That will give you 5/8. After all that you subtract 5/8 from 8/8, which will give you 3/8.
Answer:
41 inches
Step-by-step explanation:
To solve for the diagonal length of his television, we can use the formula:
a² + b² = c²
Square the length and width of the TV then add them together. Then find the square root of the sum.
40² = 1600
9² = 81
1600 + 81 = 1681
√1681 = 41
X is approximately 62.23 units
Separate the square into two right triangles. Since all 4 sides of the square are congruent (equal to each other), they are all 44 units long. The Pythagorean Theorem is a^2 + b^2 = c^2, where a and b are sides of the triangle and c is the hypotenuse (longest side of the right triangle, in this case would be x).
44^2 + 44^2 = c^2
1936 + 1936 = c^2
3872 = c^2
Take the square root of both sides.
c is about 62.23
c = x, so x is around 62.23 units long
Hope this helps
The intercept of 2 equations is a point that verifies both equations. By that I mean that if you replace the coordinates of this point in both equations, you would get the same y.
So, to do this, you use this form of expression: y=y
So you do the equality of both expressions, and find x.
But in your case, we have one equation that is not in the y= form: y+3=1/2x.
So you subtract 3 from each side, making it y=1/2x-3
Now, we can do y=y.
1/2x-3 = 5x-7x+8
1/2x-3=-2x+8
Then, we move the variables to a side, and the numbers to the other side of the expression, so you get:
1/2x + 2x = 8 + 3
5/2x = 11
To find x, you divide both sides by 5/2:
x= 11/(5/2)
x= 11*2/5 (when you divide 2 fractions, the result is equal to the first fraction multiplied by the inverse of the second)
x=22/5
So, the intercept of y+3=1/2x and y=5x-7x+8 is 22/5.
You can check your answer (this is very important):
y+3 = 1/2 * 22/5
y+3 = 22/10
y= -8/10
y=5x-7x+8
y=5(22/5)-7(22/5)+8
y=-8/10
Hope this Helps! :)
Answer:
Option b that is 1.33 is the right choice.
Step-by-step explanation:
Given:
Mean rate of arrival 
= 8 planes/hr
Service time = 
minute/plane
Mean service rate 
= 
= 
planes/hr
Applying the concept Poisson-distributed arrival and service rates (exponential inter-arrival and service times)(M/M/1) process:
We have to find mean number of planes waiting to land that is mean number of customers in the queue .
Mean number of customers in queue 
.
⇒ 
Considering, 
, 
is also mean number of customers in service.
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
So,
Mean number of planes in holding and waiting to land = 1.33
