Answer:
The probability that the sample mean would be greater than 77.21 WPM = 0.9945
Step-by-step explanation:
Mean number of Words per Minute = u = 81
Standard Deviation = s = 17
sample size = n = 130
Target value = x = 77.21
we can find the probability by converting <u>x</u> to z-score.
The formula for z-score =
using given values, z-score =
=> -2.54
using the z table, we can find the find the probability of -2.54, that is 0.9945.
Therefore, the probability that the sample mean would be greater than 77.21 WPM = 0.9945
Answer:
ABC ~ EDF
Step-by-step explanation:
By the order of the letters, we can determine which triangles are similar.
We know that Angle D is congruent to Angle B. So we have to look for a set of triangles where D and B have the same place holders.
For example, if D is the first letter, then B also has to be the first letter.
The same thing applies for Angle E, and Angle A, since they are congruent to each other.
Wherever Angle E is, Angle A has to be in that same place holder.
Triangle ABC, has Angle B, as the second angle. Therefore we know the similar triangle has to be _D_.
Similarly, Angle A is congruent to Angle E, so we know that Angle E has to be in the first place holder. ED_
By process of elimination we know that the only corresponding angles left are C and F, they must be congruent. So the last thing to write is F.
Triangle ABC ~ Triangle EDF
Answer: 16 + 55 = 71cm^2
Step-by-step explanation:
You want to divide this figure into 2 rectangles. There are two ways to do this, but either one will give you the same answer.
First One:
It has the dimensions of 5 and 11. 5 x 11 = 55cm^2
Second One:
This one wont be straightforward like the first one. You need to find these sides manually.
7 + x = 11
x = 4
Then,
9 - x = 5
x = 4
4 x 4 = 16cm^2