Answer:
Please read the answers below.
Step-by-step explanation:
Let's calculate the four means between 100 and 135, this way:
1. Arithmetic mean:
(100 + 135)/2 = 117.5
2. Weighted mean:
We will assign equal weight to both numbers : 5
(100 * 5 + 135 * 5)/10 = (500 + 675)/10 = 1,175/10 = 117.5
3. Geometric mean:
√100 * 135 = √13,500 = 116.2 (Rounding to the next tenth)
4. Harmonic mean:
2/(1/100 + 1/135) = 2/(0.01 + 0.0074) = 114.9 (Rounding to the next tenth)
Answer:
240 m
Step-by-step explanation:
Figure is attached.
The distance the particle travels is the area under the v-t graph over the time interval from 0 min to 4 min. The reason you can't just multiply velocity by time is that the velocity is changing at a constant rate over the given time interval (the line is going upward--the particls is speeding up).
What's the area under the graph?
The red outline forms a trapezoid. The area of a trapezoid is
where the <em>b</em>'s are the lengths of the two parallel base and <em>h</em> is the height (the distance between the bases).
Reading the graph carefully (notice the scales!)...

Answer:
A. -1.6; not significant
Step-by-step explanation:
The z-score of a data set that is normally distributed with a mean of
and a standard deviation of
, is given by:
.
From the question, the test score is:
, the mean is
, and the standard deviation is
.
We just have to plug these values into the above formula to obtain:
.
This simplifies to:
.
.
We can see that the z-score falls within two standard deviations of the mean.
Since
the value is not significant.
The correct answer is A. -1.6; not significant
7.7 cm Because the sides of similar figures are in direct proportion to each other