Answer: 0.02257
Step-by-step explanation:
Given : Total cards in a deck = 52
Number of ways to select any 5 cards : 
Since , there are total 13 kinds of card (includes Numbers from 2 to 9 and Ace , king, queen and jack).
Of each kind , there are 4 cards.
Number of ways to select three cards in a five card hand of a single kind : 
Number of ways to select three cards in a five card hand of a exactly three of a kind : 
Now , the required probability = 
∴ The probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a deck of 52 cards= 0.02257
Answer:
y= -x+8
Step-by-step explanation:
slope int. form: y=mx+b
first, we need to find the slope (m)
the two points are (2,4) and (7,-1).
to find the slope we do (y2-y1)/(x2-x1)
doing this we get -5/5=-1
now we can plug in point (2,4) and the slope into y=mx+b
doing this we get:
4=-1(2)+b
4=-2+b
b=8
now we have the equation:
y= -x+8
Answer:
37 just did it on my test and got it right
Answer:
300 girls were there in the gym.
Step-by-step explanation:
Given:
The ratio of the number of boys to the number of girls was 4:3, after 160 boys left the gym, the ratio became 4:5.
Now, to find the number of girls in the gym.
The girls in the gym does not left, their quantity is same before and after.
So, we multiply the both ratios to make the girls ratio same:
4:3 × 5 = 20:15
4:5 × 3 = 12:15
Now, <em>we find the units of the ratio</em>.
<em>The ratio of boys dropped down by 160</em>:
20 - 12 = 8 units.
160 = 8 units
Now, dividing both sides by 8 we get:
20 = 1 unit
So, 1 unit = 20.
Now, girls = 15 units
So, 15 × 20 = 300.
Therefore, 300 girls were there in the gym.
In an arithmetic series, the value of the nth term is calculated using the equation,
an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.
In the given, an = 48, a0 = 93, d = -5 and n is unknown. Substituting the known values,
48 = 93 + (n - 1)(-5)
The value of n from the equation is 10. Thus, the answer is the last choice.
