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:
113.04
Step-by-step explanation:
Radius(r)= 4/2 = 2
Volume = r² x π x h
⇒ 4 x 3.14 x 9 = 113.04 (when using pi = 3.14)
hope this helps!
Answer:
15.74% of women are between 65.5 inches and 68.5 inches.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What percentage of women are between 65.5 inches and 68.5 inches?
This percentage is the pvalue of Z when X = 68.5 subtracted by the pvalue of Z when X = 65.5.
X = 68.5
has a pvalue of 0.9987
X = 65.5
has a pvalue of 0.8413
So 0.9987 - 0.8413 = 0.1574 = 15.74% of women are between 65.5 inches and 68.5 inches.
Answer:
The value of x is 11.5
Step-by-step explanation:
Here, we want to find the value of x
Since Q bisects PR, it means it divides PR into ii equal angles
Thus PR = PQ
28 = 2x + 5
2x = 28-5
2x = 23
x = 23/2
x = 11.5
Answer:
11.75
Step-by-step explanation:
Interior angles in a quadrilateral sum to 360.
Opposite angles in a parallelogram are the same.
360=118+118+(4x+15)+(4x+15)
= 236 + 8x + 30
= 266 + 8x
8x = 360 - 266 = 94
x=94/8 = 11.75
