Answer: Choice B
FH/FI = HG/IE
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Explanation:
We're told that triangles EFI and GFH are similar. The order of the lettering is important because it tells us how the angles pair up.
- E and G pair up because they are the first letters of EFI and GFH
- F and F pair up as they are the second letters
- I and H pair up because they are the third letters
This means
Furthermore, it means
- EF corresponds to FG
- FI corresponds to FH
- IE corresponds to GH
Focus on the last two items of the list above. We can then form the proportion
FI/FH = IE/GH
which is the same as
FH/FI = GH/IE
when we apply the reciprocal to both sides. Since HG is the same as GH, we can then say
FH/FI = HG/IE
So basically the corresponding sides create equal ratios to form this proportion. There are many other proportions that can be formed.
Answer:
The correct answer to the following question will be "0.438".
Step-by-step explanation:
Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.
Although each student becomes independent of one another, we may conclude:
"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40
Given:
Number of surveys
= 12
Exactly 4 students have taken chemistry:



On substituting the above equation, we get the probability of approximately "0.438".
So that the above would be the appropriate answer.
Answer:
- The amount of time greater than 10.2 hours for this year.
- The
is 0.01358.
Step-by-step explanation:
Given information:
mean, X = 10.2 hours
sample, n = 15
using t distribution
test statistics = 2.822
= 2 x P(
> test statistics)
= 2 x P(
> 2.822)
= 2 x 0.00679
= 0.01358
is less than 0.10 which indicates that the amount of time greater than 10.2 hours for this year.
The cube root values and a graph of them are shown in the attachment.
_____
The cube root of a negative number is negative. These all have exact (rational) cube roots.