Total number of times she flipped a coin =200.
Total number of heads in the experiment=92
Total number of tails in the experiment=108
Therefore probability of the coun landing heads up in this experiment is 0.5
In the above experiment, the probability of the coin landing heads up is
P(H)= 92/200 = 0.46
In the above experiment, the probability of the coin landing tails up is P(T) = 108/200 = 0.54
The ratio obj represent the experimental probability of the coin landing heads up in this experiment
Therefore the correct option is 1.
Answer:
80 cubes
Step-by-step explanation:
volume of one small cube = 1 /2 × 1 / 2 × 1 / 2
= 1 / 8cm^3
let x be the number of cubes needed
1 / 8 × x = 10
x = 10 × 8
x = 80 cubes
F(x) = x^2 +5x + 3
= (x + 2.5)^2 - 6.25 + 3
= (x + 2.5)^2 - 3.25
That is vertex form. I am not sure what you mean by function form
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
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