Peter says, "If you subtract 13 from my number and multiply the difference by -3, the result is
1 answer:
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Answer:
B, C
Step-by-step explanation:
Consider all options:
A. The graph of the function is vertically shrunk by a factor
the graph of the function
so the domain and the range of both functions are the same. This option is false.
B. The graph of the function is vertically shrunk by a factor
the graph of the function
so the domain and the range of both functions are the same. This option is true.
C. The graph of the function is translated 2 units to the right and vertically shrunk by a factor
the graph of the function
so their graphs are similar except the first graph is shifted right and shrunk vertically by a factor of
. This option is true.
D. The function has the domain and the range all non-negative real values. The function
has the domain and the range all real values. So this option is false.
Answer:
40.1% probability that he will miss at least one of them
Step-by-step explanation:
For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
0.95 probaiblity of hitting a target
This means that
10 targets
This means that
What is the probability that he will miss at least one of them?
Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So
We want P(X < 10). So
In which
40.1% probability that he will miss at least one of them