Answer:
Scatter plots resembles line graphs in that they are plotted on the x and y axis. The are used because they show how much one variable is affected by another.
Scatter diagrams are important since in statistics they can show the extent of correlation, if any, between the values of observed quantities or a behavior.
Answer:
about 151 feet
Step-by-step explanation:
The height of the ball at a time of 3.1 seconds is given by Charlize's equation as ...
h(3.1) = -16(3.1)^2 +3 = -150.76 . . . feet
The well is about 151 feet deep.
_____
<em>Comment on this measurement</em>
The speed of sound is sufficiently slow that it will make a difference in the time Charlize records. She would get a more accurate measurement if she were able to <em>see</em> the ball hit bottom.
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split
into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
<span>(√2+√6)
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The ways the two rotten apple be selected in taking 3 apples from the bag, can be solve using fundamental counting principles.
P = 2 x 1 x 9
P = 18 ways
the first digit is 2 because there are 2 rotten apples. then next is 1 because only 1 apples is now left after you pick the first rotten apple. then next is 9 because there no rotten apple left and 9 apples were left
Answer:
1
Step-by-step explanation:
We will consider only the last digit multiplication and the pattern.
When we multiply 843,219 with 843,219, we have
9 * 9 = 81 [1 is important]
1 * 9 = 9
9 * 9 = 81 [1 is important]
So when we multiply them out with each other, we have a pattern of
9, 1, 9, 1 ... goes on
So if we multiply 100 times, what will be the last digit of the series 9, 1, 9, 1 .... it will be 1
hence, last digit is 1
