Answer:
6.25%
Step-by-step explanation:
Percent error is calculated by taking the difference of measured value and correct value divided by correct value and multiplied by 100%.
Mathematically,
Percent error = (correct value - measured value)/correct value * 100%
_________________________________________________
in the problem given
measured value = 75 degrees Celsius
correct value = 80 degrees Celsius ( as given in reference book)
thus,
Percent error = (80 - 75)/80 * 100%
Percent error = (5/80 )* 100% = 6.25%
Percent error calculated by him is 6.25%.
Answer:
Step-by-step explanation:
Set this up as a proportion with the ratios being
If there is a 2:5 ratio of vinegar to oil, that ratio looks like this:
and if we are looking for how much oil, x, is needed for 20 ml of vinegar, then that ratio completes the proportion:
and cross multiply.
2x = 100 so
x = 50 ml of oil
Answer:
![P(X \geq 1) = 1-P(X](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%201%29%20%3D%201-P%28X%3C1%29%20%3D%201-P%28X%3D0%29)
And if we find the individual probability we got:
![P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865](https://tex.z-dn.net/?f=P%28X%3D0%29%3D%287C0%29%280.127%29%5E0%20%281-0.127%29%5E%7B7-0%7D%3D0.3865)
And replacing we got:
![P(X \geq 1) = 1-P(X](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%201%29%20%3D%201-P%28X%3C1%29%20%3D%201-P%28X%3D0%29%3D1-0.3865%3D0.6135)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
![P(X \geq 1)](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%201%29)
And we can use the complement rule and we got:
![P(X \geq 1) = 1-P(X](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%201%29%20%3D%201-P%28X%3C1%29%20%3D%201-P%28X%3D0%29)
And if we find the individual probability we got:
![P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865](https://tex.z-dn.net/?f=P%28X%3D0%29%3D%287C0%29%280.127%29%5E0%20%281-0.127%29%5E%7B7-0%7D%3D0.3865)
And replacing we got:
![P(X \geq 1) = 1-P(X](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%201%29%20%3D%201-P%28X%3C1%29%20%3D%201-P%28X%3D0%29%3D1-0.3865%3D0.6135)
Answer:
x = 5/2; y = 7
Step-by-step explanation:
2x + y = 12
y = 2x + 2
Use substitution to replace y in the first equation with 2x + 2.
2x + 2x + 2 = 12
4x + 2 = 12
4x = 10
x = 10/4
x = 5/2
y = 2x + 2
y = 2(5/2) + 2 = 5 + 2
y = 7
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