1 cm = 20 km
so 3.5 cm would equal : 3.5 * 20 = 70 km <==
Answer:
(20.322 ; 23.678)
Step-by-step explanation:
Given that :
ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11
Mean, m = ΣΧ / N = 242 / 11 = 22
Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]
Standard deviation = sqrt[(5413/11) - (242/11)^2]
Standard deviation = sqrt(8.0909090) = 2.84
Confidence interval = m ± Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Lower boundary = 22 - 1.96*2.84/sqrt(11)
Lower boundary = 22 - (1.96 * 0.8562922) = 20.322
Upper boundary = 22 + (1.96 * 0.8562922) = 23.678
Answer:
B.
E.
Step-by-step explanation:
The trigonometric functions are applied when given a side and one of the angles of a right angled triangle.
Sine θ =
Cosine θ =
Tangent θ =
Given that; hypotenuse = 9.8, opposite side = 7.5 and adjacent side = 6.3.
Then,
Sin θ =
⇒ θ =
Also,
Cos θ =
⇒ θ =
So, the appropriate answers to the given questions are options B and E.
Answer:
sample size at the beginning was 40 bacteria.
Step-by-step explanation:
Given that a sample of bacteria experienced 5% daily growth compounded continuously for 14 days
Let C be the initial amount of bacteria.
C grows continuously compounding at the rate of 5%
The equation representing the number of bacteria at time t days would be
Now we have t = 14 days and P = 80.
Substitute to get
Approximately 40 bacteria were present at the beginning.