Answer:
2.28%
Step-by-step explanation:
Mr. bowens test is normally distributed with a mean (μ) of 75 and a standard deviation (σ) of 3 points.
The z score is used in probability to show how many standard deviation is a raw score below or above the mean. The formula for the z score (z) is given by:

For a raw score (x) of 81 points, the z score can be calculated by:

Therefore from the normal probability distribution table, the probability that a randomly selected score is greater than 81 can be given as:
P(x > 81) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228 = 2.28%
Answer:
2x+2y ≤ 64
x=2y+2
Step-by-step explanation:
x = length
y = width
the length is 2 more than twice the width or 2 more than twice y
x = 2+2y
the perimeter of the garden = 2 times the length + 2 times the width
she have 64ft of wire so the perimeter should be equal or less than 64 ft
64 ≥ 2x + 2y
Answer:
B. 41.8° is the correct answer
Step-by-step explanation:
We are given that,
Length of Eduardo's flight path = 273 miles
Length of Paul's flight path = 357 miles
Distance between their destinations = 238 miles.
Now, using the law of cosines, we get,

i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. θ = 41.8°
Hence, the angle between their flight paths is 41.8°.
12 : 4 = 3 km her <span>speed per hour
3 * 6 = 18 km </span><span>she could hike in 6 hours</span>