Step-by-step explanation:
So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.
Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...
Step 2: Make sure all radicals are simplified. ...
Step 3: Simplify the fraction if needed.
Answer:
0.01923 or 1.92 %
Step-by-step explanation:
The probability of drawing a queen card out of deck is 4/52
∴ P(Q)= 4/52
there are 4 queens in a deck, one of each suit.
The probability of drawing a diamond card out of deck is 13/52
∴P(D)= 13/52
there are 13 cards in diamond suit (including the three face cards).
The total will remain 52 as he has replaced the first card and have not moved it aside
therefore, the net probability for both scenarios will be defined by calculating both probabilities.
P= P(Q) x P(D)
P= 4/52 x 13/52
P=1/52
P=0.01923 (converting into percentage)
P=0.01923 x 100%
P=1.92 %
Answer: the probability that James draws a queen card as the first card and a diamond card as the second card is 1.92%
The range rule of thumb is that the range is four times the standard deviation. The range in this case is 922 cubic cm to 1496 cubic cm, i.e., 574 cubic cm.
Therefore, according to the rule, the standard deviation is 574 cubic cm/4 =
143.5 cubic cm. The actual standard deviation is 161.7 cubic cm. The difference is 161.7 - 143.5 = 18.2. Since this is greater than 15 cubic cm, the rule in this case is not accurate.
Answer:
A. 55
Step-by-step explanation:
55 + 30 + 40 + 55 = 180
I hope this helps u! :D
