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-BARSIC- [3]
3 years ago
6

If a single card is drawn from a standard 52-card deck, in how many ways could it be a diamond or a face card (a face card is a

Jack, Queen, or King)?
Mathematics
2 answers:
nataly862011 [7]3 years ago
6 0
There are 13 diamonds, and 4*3=12 face cards, of which 3 are diamonds.
So total of "diamond or face card" is 13+12-3=22.
=> 
Probability of drawing a diamond OR a face card from a full 52-card deck is
22/52=11/26.
zhuklara [117]3 years ago
4 0

Answer:

\frac{11}{26}

Step-by-step explanation:

Total number of cards in the deck = 52

Total number of face cards = 12

Total number of diamond cards = 13

Total number of diamond face card = 3

So, total number of ways become = 12+13-3=22

These are out of 52.

Hence, it could be a diamond or a face card = \frac{22}{52}=\frac{11}{26}

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Step-by-step explanation:

15 yd 5 in - 5 yd 3 in =

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To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 an
kolbaska11 [484]

Answer:

z = 1.28 < a - 200/20

And if we solve for a we got

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So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

Step-by-step explanation:

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X ~ N (200,20)

For u = 200 and o = 20

For this case we can use the z score in order to solve this problem, given by this formula:

Z = x-u/o

For this part we want to find a value a, such that we satisfy this condition:

P (X > a) = 0.1 (a)

P (X < a) = 0.9 (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

P ( X < a) = P (X-u/o < a - u/o) = 0.9

P (z < a-u/o) = 0.9

But we know which value of z satisfy the previous equation so then we can do this:

z = 1.28 < a - 200/20

And if we solve for a we got

a = 200 + 1.28 * 20 = 225.6

So the value of height that separates the bottom 90% of data from the top 10% is 225.6.  

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2 years ago
PLEASE HELP!!!!!!!!!!!! WILL GIVE CORRECT ANSWER BRAINLIEST!!!!!!!!!
Korolek [52]

Answer:22.75

Step-by-step explanation:

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3 years ago
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