Answer:
8
Step-by-step explanation:
Let's call the missing side as x
Base on the pythagorean theorem, we have :
17² - 15² = x²
289 - 225 = x²
x² = 64
So, x equals 8.
Hope it helps
Answer:
8x-8
Step-by-step explanation:
if Lana is X year
then that makes Yan 3X-4
the father is twice the sum of their ages
3X-4+X=4X-4
the father being twice
his age should be
8X-8
Answer:
x = 
Step-by-step explanation:
Given function;
y = 5 + x - x²
To find the maximum value, follow these steps
(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;
=
= 
= 
(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.
x for which
1 - 2x = 0
=> 1 = 2x
=> x = 
Therefore, the value of x for which the function is maximum is 
Answer:
a. 7/22
b. 28/33
c. 7/22
d. dependent events
Step-by-step explanation:
The total number of cards is given as 7 + 5 = 12.
The probability if a card being green on the first pick, P(G) = 7/12
The probability of a card being yellow on the first pick, P(Y) = 5/12
Because there is no replacement, the card are going to be short by one card. Therefore, the second pick will be like this:
P(GG) = ( 7/12×6/11)
P(GY) = ( 7/12 × 5/11)
P(YG) = ( 5/12×7/11)
P(RR) = ( 5/12 ×4/11)
a. P (G1 and G2) = ( 7/12×6/11)
= 7/22
b. P( At least one is green) = ( 7/12×6/11) + ( 7/12 × 5/11) + ( 5/12×7/11)
= 28/33
c. P(G2G1) = 7/22
d. the events are dependent. They do not give the same result.