From the question we can deduce the formula to be 16 + 3n = 76
3n - 76 - 16
3n = 60
n = 20
20 is the answer.
Answer:
(E) 0.83
Step-by-step explanation:
We will solve it using conditional probability.
Let A be the event that a TV show is successful.
P(A) = 0.5
A' be event that the show is unsuccessful
P(A') =0.5
Let B be the event that the response was favorable
P(B) = 0.6
Let B' be the event that the response was unfavorable/
P(B') = 0.4
P(A∩B) = 0.5 and P(A∩B') = 0.3
We need to find new show will be successful if it receives a favorable response.
P(A/B) = 
= 0.5/0.6
= 0.833
Answer:

Step-by-step explanation:
We are given an isosceles triangle. We need to remember the important rule that the base angles are equal. In this question we need to find the value of 'x' using a perpendicular height of 3 and a base length of 4. In this question we can half the triangle in half to help us find the value of x. Also we need to use Pythagoras theorem to help us find 'x'. Pythagoras states that a² + b² = c² so we want to find the hypotenuse of the triangle. If we half the triangle we get 2 triangle both with a base length of 2 and a perpendicular height of 3 so,
⇒ State Pythagoras theorem
→ a² + b² = c²
⇒ Substitute in the values
→ 3² + 2² = c²
⇒ Simplify
→ 9 + 4 = c²
⇒ Simplify further
→ 13 = c²
⇒ Square root both sides to find the value of 'c'
→
= c
The value of x is the square root of 13
36 ×

Since 9 is a factor of 36 you can reduce the 36 to 4 and the 9 to one
Then just multiply what is left
4 <span>× 2 = 8
So, Mark completed 8 passes.</span>
Answer:
x=13
Step-by-step explanation:
Well, the triangle is always equal to 180 degrees in total. Lets remember that x will always be the same in every equation.
So, (5x-11) x (2x+20) x (11x-63) = 180.
Now, take away the parenthesis and add up all the like terms.
This should = 18x-54 = 180.
Now solve like you regularly would. Add 54 on both sides which equals,
18x=234. Now, divide 18 on both sides.
x = 13.
Hope this helps.