Using the circumference of the circle formula..
C = πd
Given that C = 80..
80 = πd
d = 80/π ft
≈ 25.4 ft
Answer:
0.1855
Step-by-step explanation:
Assuming normal distribution, Sampling mean = $190
Sampling standard deviation =
= $2
a) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is less than $187 = P(X < 187)
= P(Z < (187 - 190)/2)
= P(Z < -1.5)
= 0.0668
b) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is more than $193.5
= 1 - P(X < 193.5)
= 1 - P(Z < (193.5 - 190)/2)
= 1 - P(Z < 1.75)
= 1- 0.9599
= 0.0401
c) Probability that the average annual cost of a random sample of 100 such checking accounts at U.S. community banks is between $191.70 to 194.5 = P(X < 194.5) - P(X <191.7)
= P(Z < (194.5 - 190)/2) - P(Z < (191.7-190)/2)
= P(Z < 2.25) - P(Z < 0.85)
= 0.9878 - 0.8023
= 0.1855
Answer:
82°
Step-by-step explanation:
alternate angles are equal
Answer:
Step-by-step explanation:
I will ASSUME you mean y = 3x² at x = 2
The derivative of an equation is the slope the curve at any given point
y' = 6x
so our line slope at x = 2 is 6(2) = 12
at x = 2, y = 3(2²) = 12
so (2, 12) is a point on the line (the point of tangency)
plugging into our slope equation
y = 12x + b
12 = 12(2) + b
b = -12
So the equation of the line tangent to y = 3x² at x = 2 is
y = 12x - 12
Question 1:Use the Pythagorean theorem.
If

, then the angle is acute.
If

, then the angle is right.
If

, then the angle is obtuse.






Thus, the angle is acute.
Question 2:Take the square root of the area to get the side length.

That's the side length. Since we have a 45-45-90 right triangle if we divide the square across its diagonal, we just multiply the side length by the square root of 2 in order to get the diagonal length.


Your answer is 20 m. Hope this helps! :)