Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that the time to complete a standardized exam is approximately normal with a mean of 70 minutes and a standard deviation of 10 minutes.
P(completing exam before 1 hour)
= P(less than an hour) = P(X<60)
=P(Z<
)
=0.5-0.34=0.16
i.e. 16% of students completed the standardized exam.
the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
18 ft bexause the shadow would be 4 feet taller than the actual person
Answer:
x ≈ 12.9
Step-by-step explanation:
In relation to the angle in this right triangle, the sides marked are the adjacent side and the hypotenuse. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(72°) = 4/x
Multiplying by x/cos(72°), we have ...
x = 4/cos(72°)
x ≈ 12.9