Answer: the probability that exactly two of the next five people who apply to that university get accepted is 0.23
Step-by-step explanation:
We would number of people that applies for admission at the university and gets accepted. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - p) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 0.6
q = 1 - p = 1 - 0.6
q = 0.4
n = 5
the probability that exactly two of the next five people who apply to that university get accepted is
P(x = 2) = 5C2 × 0.6^2 × 0.4^(5 - 2)
P(x = 2) = 10 × 0.36 × 0.064
P(x = 2) = 0.23
There’s this app called Socratic that you can use. It’s like this one but it’s a little different
The answer is exactly £5,472
The approximate area of the decagon with a side of 8cm comes to be 492.40 cm².
The side of the regular decagon = 8cm
<h3>What is a regular decagon?</h3>
A regular decagon is a polygon with 10 sides that are equal to each other.
The area of a regular decagon with side a is:
![A=\frac{5}{2} a^{2} \sqrt{5+2\sqrt{5} }](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B5%7D%7B2%7D%20a%5E%7B2%7D%20%5Csqrt%7B5%2B2%5Csqrt%7B5%7D%20%7D)
So, the area A of the regular decagon with a side of 8cm:
![A=\frac{5}{2} 8^{2} \sqrt{5+2\sqrt{5} }](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B5%7D%7B2%7D%208%5E%7B2%7D%20%5Csqrt%7B5%2B2%5Csqrt%7B5%7D%20%7D)
![A=160\sqrt{5+2\sqrt{5} }](https://tex.z-dn.net/?f=A%3D160%5Csqrt%7B5%2B2%5Csqrt%7B5%7D%20%7D)
A=492.40 cm²
Therefore, the approximate area of the decagon is 492.40 cm².
To get more about the decagon visit:
brainly.com/question/19899848
Answer: B = 73
Step-by-step explanation:
Since A = 17 degrees and there's already a right angle (90 degrees)
They add up to 107 degrees meaning the last angle is 73 because
the sum of interior angles add up to 180.
I'm sorry I couldn't find the other ones ( I don't have time )
but I'll give you a hint. You'll need to use Sine, Cosine, or Tangent