Answer:
25%
Step-by-step explanation:
Answer:
The trinomial is not a perfect square trinomial because the third term is not a square.
Step-by-step explanation:
A trinomial is an expression composed of three terms that are joined together by addition or subtraction.
A perfect square is created when a value is multiplied times itself. Thus, , making the trinomial a² + 2ab + b² a perfect square.
To show that a trinomial is a perfect square you must show that if the first and third terms are squares, figure out what they're squares of. Multiply those things, multiply that product by 2, and then compare your result with the original quadratic's middle term. If you've got a match (ignoring the sign), then you've got a perfect-square trinomial.
The trinomial is not a perfect square trinomial because the third term is not a square.
Answer:
first step
convert 180m and 1 cm in mm that is 180000mm and 10mm
then
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The time it will take to fill the vat if both pipes are left open is = 4.3 hours
<h3>Calculation of time taken to fill vat</h3>
The number of pipes a vat has = 2
The time it takes the inlet pipe to fill the vat = 3hrs
The time it takes the outlet pipe to empty the vat= 10hrs
Therefore, the time it will take to fill the vat if both pipes are left open is;
1/t = 1/3-1/10
1/t = 7/30
Make t the subject of formula,
t = 30/7
t= 4.3 hours
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Answer:
0.4286 or 42.86%
Step-by-step explanation:
The probability that an athlete has used drugs and tests positive is given by the probability that he had been using drugs (4%) multiplied by the probability of a true positive (1 - false negative):
The probability that an athlete has NOT used drugs and tests positive is given by the probability that he had not been using drugs (100% - 4%) multiplied by the probability of a false positive (5%):
Finally, the probability that the prohibited drug has been used given that an athlete tested positive is:
The probability is 0.4286 or 42.86%.