The experimental probability of letter E is: 3/25
Step-by-step explanation:
The given diagram is the number of outcomes for each letter is given
We have to find the total number of outcomes for finding the experimental probability of letter E
So,
Total outcomes = n(S) = 5+12+8+10+6+9 = 50
Number of outcomes for Letter E = n(E) = 6
So the experimental probability will be:
Hence,
The experimental probability of letter E is: 3/25
Keywords: Probability, experimental probability
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First you want to change the fractions to the same denominator
3/4 = 9/12 and 2/3 = 8/12
then you put it in ratio form...
the answer is 9:8
Answer:
-x^5 - 7x^4 + x^2 + (1/8)x - 9
Step-by-step explanation:
Rewrite the given -9+1/8x-7x^4+x^2-x^5 in descending order of the variable x:
-9+1/8x
-x^5 - 7x^4 + x^2 + (1/8)x - 9
50 ≥ 20 + 6x
She can spend less than 50 or 50 dollars exactly. 20 represents the amount for the jeans. The x represents the t-shirts. 6 represents cost per t-shirt.
Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5
