9514 1404 393
Answer:
(b) (−3, −5), because the point satisfies both equations
Step-by-step explanation:
Any solution to a system of two equations <em>must satisfy both equations</em>. The only reasonable explanation of "why" is the one associated with the answer shown above.
Answer: 0.0010
Step-by-step explanation:
Given the following :
Population Mean(m) = 4.2 years
Sample mean (s) = 3.9
Standard deviation (sd) = 0.6
Number of samples (n) = 38
Calculate the test statistic (z) :
(sample mean - population mean) / (sd / √n)
Z = (3.9 - 4.2) / (0.6 / √38)
Z = (- 0.3) / (0.6 / 6.1644140)
Z = -0.3 / 0.0973328
Z = - 3.0822086
Z = - 3.08
From the z table :
P(Z ≤ - 3.08) = 0.0010
Answer:
45 markers were in each box.
Step-by-step explanation:
To solve the problem, the total number of markers must be calculated and then divided by the number of original large boxes.
The number of markers is calculated as follows:
90 left over, 15 for each teacher and there are three teachers, that is, 15 * 3 = 45
That is: 90 + 45 = 135 markers in total.
Therefore per box would be 135/3 = 45 markers were in each box.