The correct statement comparing the theoretical and experimental probabilities is given as follows:
.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The theoretical probability is taken before any experiment. Since the four sections are equal, the theoretical probability is:
T(H) = 1/4.
The experimental probability is taken considering previous experiments. Out of 100 tosses, 28 landed on H, hence:
E(H) = 28/100 = 7/25.
Hence the correct statement is:
.
More can be learned about probabilities at brainly.com/question/14398287
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Yup! We're all pretty good here.
Since the volume of a rectangular prism is V=lwh, we can isolate for h to obtain that h=V/(lw).
So, for the first prism, the height is 117/(4*6.5) = 4.5
Similarly, for the second prism, the height is 175.5/(6.5 * 4) = 6.75
So, the difference in heights is 6.75-4.5=2.25 = 2 1/4 inches
These are "composite" functions.
g(x+a) means insert (x+a) into g(x) to replace every x:
g(x+a) - g(x) = -5(x+a)^2 +4(x+a) +5x^2 - 4x
= -5(x^2 + 2ax + a^2) +4x +4a + 5x^2 - 4x
Now just Multiply and sum up the answer.