group of 30 students from your school is part of the audience for a TV game show the total number of people in the audience is 1
1 answer:
<h2>Answer:</h2><h2>The theoretical probability of four students from your school being selected as contestants out of 8 possible contestants spots = 
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Step-by-step explanation:
The number of students participated = 30
Total audience = 150
By probability , to find the solution =
where n(E) is the number of favorable outcomes,
n(S) is the number of total outcomes.
n(S) is the number of ways any 8 students can by picked from the audience=
n(E) is the probability of picking four students from our school and five students from another school.
n(E) = =
=
=
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Answer:
Step-by-step explanation:
First, you gotta work out the hypotenuse of ABC, which is AC.
To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.
12.5/5 = 2.5
The scale factor length between the two triangles is 2.5.
You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.
Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB
Pythagoras's theorem =
a = BC = 12.5
b = AB = we need to work this out
c = AC (the hypotenuse we just worked out) = 32.5
Let's both simplify and rearrange this at the same time so that we have our b on one side.
= 1056.25 - 156.25
b =
b =
b = AB = 30 We've found b or AB, now we can work out the perimeter of ABC.
Perimeter of ABC = AB + BC + AC
= 30 + 12.5 + 32.5
= 75 Here's the perimeter for ABC.