(0.1x-22)+(0.3x-54)=90
First combine like terms
0.4x - 76 = 90
Now add 76 on both sides
0.4x = 166
Divide by 0.4 on each side to isolate x
X= 415
Option C is the answer to your question!!!
Answer:
229.2
Step-by-step explanation:
Remark
There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.
The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.
So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.
Formula
Just as you have it
Sin(20) = x / 670
Solution
Multiply both sides by 570
670 * sin(20) = x
sin(20) = 0.3420
x = 670 * 0.3420
x = 229.2
Answer: 
Step-by-step explanation:
For this exercise it is important to remember the multiplication of signs. Notice that:
In this case you have the following expression given in the exercise:
Then you can follow the steps shown below in order to solve it:
Step 1: You must solve the subtraction of the numbers 0,65 and 3,21. Then:
Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.
(As you can notice, both are negative, therefore you know that the product will be positive).
Then, you get that the result is the following:
Independent events mean that one event happening does not have to have the other event to happen.
The probability of both events happening is the product of the events.
The answer would be:
E. P(A ∩ B) = P(A) x P(B)
