If Tony joined a book club he would have I think received 8 free books. If wrong you don't have enough information.
Answer:
a) bijective
b) neither surjective or injective
c) injective
Step-by-step explanation:
Since we are looking from real numbers to real numbers, we want the following things
1) We want every real number y to get it. (surjective)
2) We want every y that gets hit to be hit only once. (injective).
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If we have both things then the function is bijective.
a) f(x)=5x+4 this is a line with a positive slope.
That means it is increasing left to right. Every increasing or even decreasing line is going to hit every real number y. This is a bijection.
b) g(x)=2x^2-2 is a parabola. Parabola functions always have y's that get hit more than once and not all y's get hit because the parabola is either open up or down starting from the vertex. This function is neither injective or surjective.
c) h(x)=1+(2/x) x is not 0.
1+(2/x) is never 1 because 2/x is never 0 for any x. This means the real number y=1 will never be hit and is therefore not surjective. This function is injective because every 1 that is hit is only hit once. If you want use the horizontal line test to see this.
From the distribution, it seems as though the digits at fairly even frequencies, though we can test our intuition by doing a few calculations.
The mean (or average) frequency can tell us quite a bit here, and we can calculate it by adding together all of the frequencies and then dividing by the number of frequencies (in this case, 10, since we have 10 digits)
Doing that, we find
(1 + 4 + 5 + 7 + 4 + 5 + 2 + 3 + 5 + 5)/10 = 41/10 = 4.1
When we divide the number of digits (40) by 4.1, we find it equals roughly 10, which means that, *on average*, each of the 10 digits appeared about 4 times. With this knowledge in hand, it wouldn’t be too out-there to suggest that this distribution is going to tend to even out more and more as we continue to add further decimal approximations of π
Answer:
7
Step-by-step explanation:
Do addition first, so 30 plus 2, and then subtract, 32 minus 25. It is seven.
GCF, Greatest Common Factor.