Answer:
<em>The mass of the steel ball is 4,235.9 gr</em>
Step-by-step explanation:
<u>Density</u>
The density ρ of a substance is a measure of its mass per unit volume:
If the density and the volume are given, the mass can be calculated by solving the above formula for m:
We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.
We need to calculate the volume of the sphere:
The volume of a sphere of radius r is given by:
The radius is half the diameter: r= 10/2 = 5 cm. Thus:
Calculating:
The mass is:
m=4,235.9 gr
The mass of the steel ball is 4,235.9 gr
The answer is D) (-1,-12)
Reason:
1) substitute 2x-10 for y in y=4x-8
2) 2x-10=4x-8
3) -2x-10=-8
4) -2x=2
5) x=-1
6) substitute -1 for x in y=2x-10
7) y=(2)(-1)-10
8) y=-12
Answer
x=-1 and y=-12
Answer: f-1x(fx2) answer = -f
f(2)= 2 answer 2f
f-1x1 answer f-1
B) 154, 171, 188, 205, 222
A constant value (17) is added to get the next number
ExperimentSome process that occurs with well defined outcomes.OutcomeA result from a single trial of the experiment.Eventa collection of one or more outcomes.Sample SpaceA collection of all of the outcomes of an experiment.P(E)the probability of E happeningn(E)the number of elements in EProbability answers should be given as...fractions or decimalsProbability questions that ask for percent or chance should be given as...percentagesTheoretical Probability<span>What we expect the Probability of an event to be.
ie. each number on a cube should have a 1/6 probability of occurring</span>Empirical Probability<span>The Probability of an event after we run an experiment.
ie. each number on a cube should have a 1/6 probability of occurring, but we could roll a cube many times and may not get a certain number 1/6 of the time.</span>ORone or the other or both; it's ok to get just oneANDHave to get BOTHTree Diagram<span>can be drawn vertically(down) or horizontally(side ways)
*You can count the ends of the branches to get the number in the sample space(outcomes)</span>How to find the number of items when you know the probability it will occur..<span>(# of items)(Probability it will occur)
ie. If the probability a person is left handed is 1/10, how many people would you expect to be left handed in a room with 360 people?
ANSWER: (360)(1/10) = 36</span>Roster Form<span>List the elements in brackets
ie. set A is a set of all even numbers from 1-10;
A = {2,4,6,8,10}</span>Subseta set whose elements are contained in another setComplement<span>All the elements in a set that are not in the subset
set S; S = {1,2,3,4,5,6,7,8,9,10}
subset A; A = {2,4,6,8,10}
complement of A; A' = {1,3,5,7,9}
Can be labeled with an ' OR another letter.</span>Complements Probabilities<span>If A and B are complements then P(A) + P(B) = 1
P(A) + P(A') = 1
P(A) + P(NOT A) = 1</span><span>
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