A 2-card hand is drawn from a standard deck of 52 cards. find the probability that the hand contains the given cards. two of the
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Answer: 0.8313
Step-by-step explanation:
As per given we have,
Also, the distribution of the number of suitcases that get lost each week on a certain route is approximately normal.
Since ,
z-score corresponds to x= 10:
z-score corresponds to x= 20:
P-value =
Hence, the probability that during a given week the airline will lose between 10 and 20 suitcases = 0.8313
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
Multiply both sides by 100.
Divide both sides by 50.
The amount invested at 7% is .
The amount invested at 8% is
The amount invested at 9% is
Therefore, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.