Use Pythagorean theorem.
[tex]|ON|^2+|MN|^2=|OM|^2\\\\x^2+x^2=8^2\\\\2x^2=64\ \ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=32\to x=\sqrt{32}\\\\x=\sqrt{16\cdot2}\\\\x=\sqrt{16}\cdot\sqrt2\\\\\boxed{x=4\sqrt2}
Answer: |MN| = 4√2.
I think the answer is x= 11 but im not sure <span />
Answer:
y − 1 = -2 (x − 3)
Step-by-step explanation:
Point slope form is:
y − y₁ = m (x − x₁)
where m is the slope and (x₁, y₁) is a point on the line.
Given that m = -2 and (x₁, y₁) = (3, 1):
y − 1 = -2 (x − 3)
Answer:
2.4%
Step-by-step explanation:
We make use of the binomial probability equation, which is as follows:
P = [n! / (n - r)! r!] p ^ r * q ^ (n - r)
where,
n total number samples = 20
r is the selected number = 8
p, sin este valor no se puede realizar el ejercicio y no lo mencionas, pero encontré una pregunta igual y era de 20.37%, es decir 0.2037
q = 1 - 0.2037 = 0.7963
reemplazando:
P = [20! / ((20 - 8)! * 8!)] * [0.2037 ^ 8 * 0.7963 ^ (20 - 8)]
P = 125970 * 1.92685405*10^-7
P = 0.024 = 2.4%