Answer:
Step-by-step explanation:
<u>Addition Law for Probability</u>
Given:
Substitute the given values into the formula and solve for P(A ∩ B):
Answer:
“It’s not hard to steal points”.........................................so thx for points....................................bye
Step-by-step explanation:
Aaron is 11 and Laura is 12.
Answer:
The measure of angle HJK is 36°
Step-by-step explanation:
<em><u>In a circle</u></em>, <em>the measure of the inscribed angle equal half the measure of the central angle subtended by the same arc</em>
In circle J
∵ J is the center of the circle
∵ H and K lie on the circle
∴ ∠HJK is a central angle subtended by arc HK
∵ L lies on the circle
∴ ∠HLK is an inscribed angle subtended by arc HK
→ By using the rule above
∵ ∠HJK and ∠HLK are the central angle and inscribed angle
subtended by the same arc HK
∴ m∠HLK = 
m∠HJK
∵ m∠HLK = 18°
∴ 18 = m∠HJK
→ Multiply both sides by 2
∴ 36 = m∠HJK
∴ The measure of angle HJK is 36°
Answer:
0.087
Step-by-step explanation:
Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:
= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:
X₅ ~ Poisson (20 (5/60))
X₅ ~ Poisson (1.6667)
Formula for computing probabilities for Poisson is as follows:
P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!
P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! = (e^-1.6667)((1.6667²)/3!)
P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)
P(X₅= 3) = (2.718^(-1.6667))0.46
P(X₅= 3) = 0.1889×0.46
P(X₅= 3) = 0.086894
P(X₅= 3) = 0.087
Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.
