Answer:
The scale factor of the sides of the Octagon is 2:5
Step-by-step explanation:
Both these octagons can be considered as the combination of 8 similar triangles joined edge to edge.
We know this property of similar triangles, that the ratio of area of similar triangles is proportion to the square of the ratio of sides of the similar triangle.

From the above property, we plug in the values


Therefore, the ratio of the sides of the Octagon are 2:5.
Answer:
B
Using gradient of two points and equation of a straight line graph.
We can solve it two ways, we´ll do it via physics:
We know that:
d=vt
d=770km/h*15h
d=11550km
Now at 660km/h:
t=d/v
t=11550km/660km/h
t=17,5h
Math way:
770km/h→15h
660km/h→x
So:
(770*15)/660=x
x=17,5h
Answer:
what is it over?
Step-by-step explanation:
you have to be more specific
Answer:
10.03% probability of getting a cup weighing more than 8.64oz
Step-by-step explanation:
Problems of normally distributed samples are 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 question, we have that:

What is the probability of getting a cup weighing more than 8.64oz
This is the 1 subtracted by the pvalue of Z when X = 8.64. So

has a pvalue of 0.8997
1 - 0.8997 = 0.1003
10.03% probability of getting a cup weighing more than 8.64oz