Use combination
There are 4 queen cards in a deck of 52 cards
Probability = 4C2 / 52C2
I calculate 4C2 first
4C2 = 4! / (2! 2!)
4C2 = (4 × 3 × 2 × 1) / (2 × 1 × 2 × 1)
4C2 = 6
Then I calculate 52C2
52C2 = 52! / (50! 2!)
52C2 = (52 × 51)/2
52C2 = 1.326
Hence, the probability is
Probability = 4C2 / 52C2
Probability = 6/1,326
Probability = 1/221
Answer:
22.5
Step-by-step explanation:
What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.
If you want to calculate it yourself stop reading here, because I will work it out now.
Volume box = a*b*c
Volume prism = 15
Volume pyramid = (b * c * a)/3
The prism has the volume of the box minus the pyramid so
abc - (abc)/3 = 15
abc - (1/3)abc = 15
(2/3)abc = 15
abc = 22.5
So 22.5 is the volume of the figure
Answer:
1. y= 25400(1 + 0.11)^x
2. 2019
Step-by-step explanation:
1. y = a(1 + r)^x <em> </em>
<em>(exponential growth formula :</em>
<em>a = initial value (the amount before measuring growth or decay)
</em>
<em>r = growth or decay rate (usually represented as a percentage and expressed as a decimal)
</em>
<em>
x = number of time units that have passed)</em>
y= 25400(1 + 0.11)^x
so in 1 year, in 1996, we would say
y=25400(1+0.11)^1
y=25400(1.11)
y=28194
2. I found the answer by plugging in numbers into x
with x = 24
y= 25400(1+0.11)^24
y= 310874
so in 24 years, the population will surpass 302438 which would be 1995+24= 2019
