Answer: 0.0386
Step-by-step explanation:
Given: The probability hat the frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked : p= 0.30
Sample size : n = 12
Let x = Number of contaminated chickens
Here , two outcomes for any chicken (either contaminated or not) , so it follows binomial distribution.
Binomial probability formula:
The probability that the consumer will have more than 6 contaminated chickens :-

<em> (simplified)</em>
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Hence, the required probability = 0.0386
The answer is letter b. y - 1 = 2(x + 8)
This can be proofed by the formula of point-slope form.
Answer:
You have not added the options, therefore, I cannot provide an exact answer. However, I can help you with the concept.
In any fraction, the denominator cannot be equal to zero because this would make the fraction undefined.
Excluded values are the values that would make the denominator equal to zero.
We are given that the excluded values are 2 and 5, this means that the factors of the denominator are (x-2) and (x-5)
This means that the denominator is x² - 7x + 10
Pick the fraction which has this denominator.
Hope this helps :)
Answer:
Step-by-step explanation:
Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.
The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.
The system is
6h + 1d = 40
4h + 3d = 36
The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,
1d = 40 - 6h.
Now that we know what d equals, we can sub it into the second equation where we see a d. In order,
4h + 3d = 36 becomes
4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!
4h + 120 - 18h = 36 and
-14h = -84 so
h = 6.
That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:
1d = 40 - 6(6) and
d = 40 - 36 so
d = 4.
That means that each duck costs $4.
Answer:
it is C
Step-by-step explanation: