Answer:
<em>P=0.0000037</em>
<em>P=0.00037%</em>
Step-by-step explanation:
<u>Probability</u>
A standard deck of 52 playing cards has 4 aces.
The probability of getting one of those aces is

Now we got an ace, there are 3 more aces out of 51 cards.
The probability of getting one of those aces is

Now we have 2 aces out of 50 cards.
The probability of getting one of those aces is

Finally, the probability of getting the remaining ace out of the 49 cards is:

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:


P=0.0000037
P=0.00037%
Answer:
Option D. 
Step-by-step explanation:
we have
-----> the parent function
The vertex of the function F(x) is the origin (0,0)
The vertex of the function G(x) is the point (0,-1)
so
The rule of the translation is equal to
(x,y)------> (x,y-1)
That means ------> The translation is 1 unit down
Applying the rule of the translation to F(x)
F(x)-------> G(x)

Answer:
135 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h(a + b)
where h is the height and a, b the parallel bases
Here h = 9, a = 13 and b = 17 , thus
A =
× 9 × (13 + 17)
= 0.5 × 9 × 30
= 135 cm²
Answer:
x = 36 is not a solution
Step-by-step explanation:
3x<100
Let x = 36
3*36 < 100
108 < 100
This is not true so x = 36 is not a solution