Answer:
The correct statement is:
C. Buying a needle and buying a thread are dependent events.
Explanation:
The first statement is incorrect because the given events are dependent on each other because the probability that a customer buys a needle given that the customer buys thread is 0.25.
The second statement is incorrect because we cannot say all those who buy a thread also buy a needle.
The fourth statement is incorrect because the probability that a customer buys a needle and thread is 
A 30 60 90 triangle has its shorter side equal to one half the hypotenuse.
So, if hypotenuse = 11 cm then shorter side = 5.5.
Source:
http://www.1728.org/trig2.htm
The angle the radius makes with AB is a right angle, so the Pythagorean theorem applies.
r² = 17.4² - 7² = 253.76
r = √253.76 ≈ 15.9
The length of radius r is about 15.9.
Answer:
80 inches cubed
Step-by-step explanation:
V=bh
b= 5 x4 h=4
5 x 4 x 4 = 80
Have a look at the image attachment. I've added the points A, B, C, D such that
A = base of the diving board pole, or location of the pool deck
B = the location 1.6 meters directly above point A
C = location of the person's eyes
D = diving board location
The goal is to find the length of segment AD
We are given
AB = 1.6
BC = 3.67
what we want to find is
BD = x
Due to the fact we have similar right triangles ABC and CBD, we can form the proportion below and solve for x
AB/BC = BC/BD
1.6/3.67 = 3.67/x
1.6*x = 3.67*3.67
1.6*x = 13.4689
1.6*x/1.6 = 13.4689/1.6
x = 8.4180625
So BD is 8.4180625 meters
Use this to find the length of AD
AD = AB + BD
AD = 1.6 + 8.4180625
AD = 10.0180625
which rounds to
10.0 meters when rounding to the nearest tenth (one decimal place)
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Answer: choice D) 10.0 m