Answer:
22 1/2
Step-by-step explanation:
Using the principle of binomial probability, the probability of having exactly two black cards is 0.3125
- <em>Probability</em><em> </em><em>of</em><em> </em><em>having</em><em> </em><em>a</em><em> </em><em>black</em><em> </em><em>card</em><em> </em><em>=</em><em> </em><em>26</em><em>/</em><em>52</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em>
<u>Using the binomial probability relation</u> :
- P(x = x) = nCx * p^x * q^(n-x)
- <em>p</em><em> </em><em>=</em><em> </em><em>probability</em><em> </em><em>of</em><em> </em><em>success</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>2</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>5</em>
- <em>Number of</em><em> </em><em>picks</em><em>,</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>5</em>
- <em>q</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>-</em><em> </em><em>p</em><em> </em><em>=</em><em> </em><em>0.5</em><em> </em>
- <em>x</em><em> </em><em>=</em><em> </em><em>2</em><em> </em>
Hence,
P(x = 2) = 5C2 × 0.5² × 0.5³
P(x = 2) = 10 × 0.25 × 0.125
P(x = 2) = 0.3125
Hence. Probability of having exactly 2 black cards is 0.3125
Learn more : brainly.com/question/12474772
<span>Proving the converse of the Pythagorean theorem means that for any triangle ABC with verticles of a, b, and c such that angle triangle ABC is not a right angle</span>
6.50-2.25=x
x is how much Jackson's lunch was
Answer: 
Step-by-step explanation:
The formula for the lateral area of a cone 
is:
Where:
is the radius of the circular base of the cone
As we know its diameter 
, its radius is 
is the height of the cone
This is the lateral area of the volcano with the shape of a cone
