Answer:
x ≈ 3.4 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° =
=
( multiply both sides by 4 )
4 × sin57° = x , thus
x ≈ 3.4 cm ( to 1 dec. place )
Answer:
0.2109 or 21.09%
Step-by-step explanation:
In order to maintain the same price after two days, the stock must go up (U) on two days and go down (D) on two days, the sample space for this event is:
S={UUDD, UDUD, UDDU, DDUU, DUDU, DUUD}
There are 6 equally likely possible outcomes. The probability that the price of the stock will be the same as it is today is:

The probability is 0.2109 or 21.09%.
Answer:
a) Add 4 to both sides, and then divide by 2. The solution is
.
Step-by-step explanation:
Question:
Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?
a) Add 4 to both sides, and then divide by 2. The solution is x = 12.
b) Divide both sides by −4, and then subtract 2. The solution is x = −7.
c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.
d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.
Solution:
Given equation:

We need to determine the steps in order to solve for
.
Solving for
.
Step 1: Adding 4 both sides.


Step 2: Dividing both sides by 2.

∴ 
Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12
Answer:
It would be rounded to $5.90 per gallon. As if something is 5 or above you round up and if it is 4 or less you round down.
Answer:120
Step-by-step explanation:
132/11= 12
it means each 10 percent is = to 12
12*10 = 120