Alright, start with simplifying both sides
Than add
to both sides.
which is
After this, multiply each side by
So, your final answer is K=-7
Answer:
The answer to the question is;
The probability that there are exactly 4 successes or exactly 4 failures in the 13 rolls is .
Step-by-step explanation:
The probability of success = 1/2 =
probability of failure = 1/2
Since we have 4 success we then have 9 failures and the given probability can be solved as ₁₃C₄ × 1/2ⁿ×1/2¹³⁻ⁿ
Therefore we have
₁₃C₄ × 1/2⁴×1/2⁹ = 715/8192
That is the probability that there are exactly 4 successes or exactly 4 failures in the 13 rolls = 715/8192.
They need to sell 5 pieces to cover their expenditures (have a profit of zero).
<h3>
How many cakes will they have sold?</h3>
We know that the costs are:
- $30 for the booth at the fair.
- $2 for each piece of cake they sell.
And the revenue is:
- $8 for each piece of cake.
So, the profit (the difference between the revenue and the cost) for selling x pieces is:
p(x) = $8*x - $2*x - $30
p(x) = $6*x - $30
We want to find the value of x such that p(x) = 0, then:
0 = $6*x - $30
x = $30/$6 = 5
They need to sell 5 pieces to cover their expenditures (have a profit of zero).
If you want to learn more about profit:
brainly.com/question/23103804
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Answer:
3/4, 12/16
Step-by-step explanation:
times two or divide two