The two triangles are congruent to each other, meaning they’re proportional to each other but not equal.
The question is asking you to list the angles that are congruent to each other (when talking about angles and congruency, if two angles are congruent, they are equal) and the sides that are congruent to each other (as long as all sides are proportional to each other, they are congruent (Triangle ABC has side lengths of 1, 2, 3 and Triangle DEF has side lengths of 2, 4, 6; these two triangles are congruent))
They both have 5 in common
if you were to reduce the fraction it would be 11/16 because
55 divided by 5 is 11 and 80 divided by 5 is 16
Answer:
If in a day, 458 call options are picked by these traders, around <u> 246.2 </u>of them will be winners, give or take<u> 10.67 </u>.
Step-by-step explanation:
Hello!
Your study variable is X: the number of winning calls in a sample of 458 calls.
The variable has a binomial distribution since you have two possible outcomes, that the call is a winning call (success) or that the call is not a winning call (failure), each call is independent and the probability of success is p= 0.5375 and the probability of failure q= 1-p= 1-0.5375= 0.4625.
The expected value for a binomial distribution is
E(X)= n*p= 458 * 0.5375= 246.175
And to know the standard error (or standard deviation) you have to calculate the square root of the variance:
V(X)= n*p*q= 458*0.5375*0.4625= 113.85
√V(X)= √113.85= 10.67
I hope it helps!
