Answer:
12.1%
Step-by-step explanation:
Given that:
Mean (μ) = 20.2 grams and standard deviation (σ) = 0.18 grams.
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean. A positive z score means that the raw score is above the mean and a negative z score means that the raw score is below the mean. It is given by:
a) For x < 19.99 g:
From the normal distribution table, P(x < 19.99) = P(z < -1.17) = 0.1210 = 12.1%
The probability that a randomly chosen mouse has a mass of less than 19.99 grams is 12.1%
Answer:
3^-5 or 1/3^5(b)
Step-by-step explanation:
3⁴•3^-9
When bases are same powers are to be added
So the above expression becomes
3^4+(-9)
3^4-9
3^-5
The answer is 8 1/4 hours
Answer:
25.7 feet
Step-by-step explanation:
We are solving a right angled triangle.
We are the Trigonometric function of Tangent
tan θ = Opposite side/Adjacent
Angle of Elevation = θ = 34°
Opposite side = Height
Adjacent = 30 feet
tan 34° = Opposite side/30 feet.
Opposite side = tan 34° × 30 feet
Opposite side = 20.235255505 feet
The height of the light house =
Opposite side(height) + Amelia's height
20.235255505 feet + 5.5 feet
= 25.735255505 feet
Approximately to the nearest tenth ≈ 25.7 feet
