Answer:
The minimum sample size required is 25 so that margin of error is no more than 3 minutes.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 42 minutes
Standard Deviation, σ = 9 minutes.
We want to build a 90% confidence interval such that margin of error is no more than 3 minutes.
Formula for margin of error:


Putting values, we get.

Thus, the minimum sample size required is 25 so that margin of error is no more than 3 minutes.
Answer:
21.4 m
Step-by-step explanation:
let height of tree = h
tan 65° = h/10
h = tan 65° x 10
h = 21.4 m
Hope this helps!
Answer:
257 degrees
Step-by-step explanation:
A circle has total angle of 360
360-103 = 257
Answer:
C) 4.0 ft
Step-by-step explanation:
We will use the Pythagorean theorem to solve this. It states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse; algebraically,
a²+b² = c²
The height splits the base in two, giving us a leg of 3. The hypotenuse is 5. This gives us:
3²+b² = 5²
9+b² = 25
Subtract 9 from each side:
9+b²-9 = 25-9
b² = 16
Take the square root of each side:
√b² = √16 = 4
Notice the picture below
that's when it reaches the highest point, at the "vertex"
what's the vertex at? is at h,k
where