ASA stand for Angle-Side-Angle. So, if you were using this theorem to prove congruence, you would need two triangles where you know two of the angles, and the side in between the two angles.
The triangles in answer C) match that description, so C is your answer.
Answer:
5/5
Step-by-step explanation:
7/10=2/5
7/10-2/5=5/5
Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.
Answer:
5= b 6=d
Step-by-step explanation:
Answer:
Part A: (0.25+0.30+0.75) - 0.20
Part B:
Step-by-step explanation:
The jar contains 0.25 of apple juice and 0.30 liter of grape juice. Then, another 0.75 litter is added. Melissa drank 0.20 of that, making the value lower (Hint: subtraction).
So we have to add 0.25, 0.30, and 0.75. Subtract it by 0.20. My equation would look like:
(0.25+0.30+0.75) - 0.20
The simplified equation will be:
1.3 - 0.20
= 1.1
I used the associative property to simplify the parenthesed part of the equation, and subtracted it by 1.1. Even though it has been simplified, the result has no changed and it is still the same value as it would have been in the previous equation.
Best of luck, and have a blessed day! For any question or comments, please say so!
