Here's the way I see it: 5 cards are drawn, one by one, without replacement. Half (or 26) of the original deck are black and half (26) are white.
P(5 are not black) = P(5 are red)
P(5 are not black) = P(first card is red) * P(second card is red) * P(third card is red)*P(fourth card is red)*P(fifth card is red) =
(26/52) * (25/51) * (24/50) * (23/49) * (22/48) = 0.025 (answer)
We start with 52 cards. We draw one, leaving 51 cards, 25 of which are red. And so on.
1. Pants=2, shirts= 3
# outcomes 2*3=6
2. Flavors=3, toppings= 4
# outcomes 3*4= 12
3. Type=3, color=3
# outcomes 3*3= 9
Answer:
<em>Correct answer:</em>
<em>A. I and II</em>
<em></em>
Step-by-step explanation:
First of all, let us have a look at the steps of finding inverse of a function.
1. Replace y with x and x with y.
2. Solve for y.
3. Replace y with 
Given that:
Now, let us find inverse of each option one by one.
I. y = x, a(x) = x
Replacing y with and x with y:
x = y
x = 
= 
Hence, I is true.
II. 
Replacing y with and x with y:
= Hence, II is true.
III. 
Replacing y with and x with y:
Hence, III is not true.
IV. 
Replacing y with and x with y:
![x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)](https://tex.z-dn.net/?f=x%20%3Dy%5E%7B3%7D%5C%5C%5CRightarrow%20y%20%3D%20%5Csqrt%5B3%5D%20x%5C%5C%5CRightarrow%20a%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20%5Cne%20a%28x%29)
Hence, IV is not true.
<em>Correct answer:</em>
<em>A. I and II</em>
<em></em>
Answer:
145
Step-by-step explanation:
x = 2 , y= 5
Putting the values of x and y in the expression
=3(2) (5)^2-5
=3(2)(25)-5
=150 -5
=145
Answer:
4
Step-by-step explanation:
For the first triangle which is triangle <KJL
Hypotenuse= 8✓2
Angle=30°
Opposite = ?
Therefore we will use Sine formula
Sin30° = Y/8✓2
Y=4✓2
For the second triangle which is triangle <JML
Hypotenuse= 4✓2
Opposite=X
Angle=45°
Therefore we will use Sine formula again
Sin45°=X/4✓2
X=4
