Answer:
D = 9sin(2π(t + a)/24) + 45
Step-by-step explanation:
Let's find the average temperature;
(54 + 36)/2 = 45°
Amplitude = 54 - 45 = 9
From the wave equation, we can write the temperature as;
D = 9sin(2π(t + a)/24) + 45
Where;
D is the temperature
t is the time in hours after midnight
a is a "phase" that is used to set the time at which temperature(D) occurs
Answer:
0.21%
Step-by-step explanation:
2.5/12=0.208 or 0.21
Answer:
2
Step-by-step explanation:
(-7)^2 - 4*3 *(-2) = 49 + 24 >0
discriminant is positive so 2 real roots
Answer: a) 0.99917 b) 0.7054 c) 0.9820
Step-by-step explanation:
Let X denotes the number of people are in favor of a proposed rise in school taxes.
Era re given that p(probability that a person is in favor of a proposed rise )= 0.65
Sample size : n= 100
Mean= np = 100(0.65)=65
Standard deviation: 
a) Now, the probability that a random sample of 100 people will contain at least 50 who are in favor of the proposition :

b) between 60 and 70 inclusive who are in favor;

c) fewer than 75 in favor.

Answer:
2 × 2 × 3 × 5 × 3 × 3 =540
Step-by-step explanation: