Answer:10%= 310
5%= 155
15%=465
Step-by-step explanation: Solution for what is 15% of 3100
3100/x=100/15
(3100/x)*x=(100/15)*x - we multiply both sides of the equation by x
3100=6.66666666667*x - we divide both sides of the equation by (6.66666666667) to get x
3100/6.66666666667=x
465=x
x=465
Answer:
Yes, the sample has a bias
Step-by-step explanation:
Bias is the term used in statistics to describe a systematic distortion in the samples obtained for the parameter being estimated. It is evident by obtaining values higher or lower than that of the average population for the parameter being measured. As such the data is a misrepresentation of the population and cannot be trusted to give a good indices of things.
This sample has a bias because the concerned citizen opted to use a <em>convenience sampling</em> instead of using <em>random sampling</em>. In <em>random sampling</em>, every individual has an equal chance of being chosen which is unlike the <em>convenience sampling</em> when only a specific group of individuals can be chosen. In this case, the bias was introduced when the citizen went to stand outside the courthouse with his petition, the citizen should have taken samples across diverse geographical locations and professional institutions. The implication of this sampling is that a significant percentage of the population has been sidelined (considering they would not be in or around the courthouse) from the sampling and the sampling has been restricted to only those who have business around the courthouse. The result is that whatever samples he/she obtains will not be an accurate representation of the parameter being measure from the population.
<u>As such, the sampling technique is biased </u>
Answer:
(5, -2)
Step-by-step explanation:
In the coordinates (7, -5), 7 is the x-coordinate and -5 is the y-coordinate.
The transformation, (x-2 y+3), states that the x-coordinate, 7, must be subtracted by 2.
When subtracted by two, (7 - 2), the difference is 5.
The transformation, (x-2 y+3), states that the y-coordinate must be increased by 3.
When added by 3, (-5 + 3), the sum is -2.
Therefore, the new coordinates are (5, -2).
Answer:
An interesting experiment is given. We need to address various questions based on our knowledge of calculus.
Step 2
Part (a)
Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours
Time taken for the radius to become 0 = t2 and the same can be obtained by solving:
r = 2 - √t2 = 0
Hence, t2 = 22 = 4 hours
Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours
Step 3
Part (b)
r(t) = 0.5t for 0 ≤ t ≤ 4
and
r(t) = 2 - √(t - 4) for t > 2
Step-by-step explanation:
