At a certain fire station, false alarms are received at a mean rate of .2 per day. In a year, what is the probability that fewer than 60 false alarms are received?

0.064

Step-by-step explanation:

Number of days in a year = 365

Mean rate of false alarm in a year = λ = 365 * 0.2 = 73

Standard deviation, σ = sqrt(λ) = sqrt(73) = 8.54 (for large λ value)

Using the relation :

P(x < 60): (60 - 73) / 8.54

P(x < 60) = - 1.52

P(Z < - 1.52) = 0.06426 (Z probability calculator

= 0.064

6.5

step-by-step explanation:

you said it was in the question

~courtney

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh