<h3>
Answer: 1/2</h3>
Explanation:
Here's the event space
E = {1,2,3}
this represents all of the desired events we want, which is rolling less than a 4 on a standard number cube (aka a die). There are A = 3 items in this set.
The sample space is the set of all possible outcomes, namely,
S = {1,2,3,4,5,6}
which is all of the values on the die. There are B = 6 items in this set.
Divide the values of A and B to get the theoretical probability:
P(rolling a number less than 4) = A/B = 3/6 = 1/2
Answer:
A
Step-by-step explanation:
Step-by-step explanation:
Use this sort of layout, but where x will be an odd number, do not shade it. there should be a pattern of shaded segments followed by unshaded segments repeating
(sinx + cosx)^2/((sinx)(cosx)) = 2 + (secx)(cscx)
<span>(sinx + cosx)^2/((sinx)(cosx)) = 2 + 1/(sinxcosx); subtract 1/sinxcosx both sides </span>
<span>(sinx + cosx)^2/((sinx)(cosx)) - 1/(sinxcosx)= 2; multiply through by sinxcosx </span>
<span>(sinx + cosx)^2 -1 = 2(sinxcosx) </span>
<span>sin^2 + 2sinxcosx + cos^2 - 1 = 2(sinxcosx); since sin^x + cos^2x = 1 </span>
<span>1 + 2sinxcosx -1 = 2sinxcosx </span>
<span>2sinxcosx = 2sinxcosx</span>
