Answer:
a. 58
b. 35
Step-by-step explanation:
a. Given,
sinθ = cos 32
We know that cos x = sin (90 - x)
⇒ sin θ = sin (90 - 32)
⇒ sin θ = sin 58
⇒ θ = 58
Thus, the value of θ would be 58.
b. Given,
cosθ = sin(θ+20),
sin (90 - θ) = sin (θ + 20)
⇒ 90 - θ = θ + 20
⇒ 90 - 20 = θ + θ
⇒ 70 = 2θ
⇒ θ = 35
Thus, the value of θ would be 35.
The points lie on the line, I believe, since they're part of it.
Answer:
b the second 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 6 minutes
σ = 1 minute
the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as
P(4 ≤ x ≤ 8)
For x = 4,
z = (4 - 6)/1 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 8
z = (8 - 6)/1 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75
The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is
0.75 × 100 = 75%
Answer:3
Explanation: 3x5=15+12=27-5=22
