The son is 20 years younger than the father, and 5 years ago he was 5 times younger than him. How old is each of them?
1 answer:
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<h2>Answer:</h2>
The conclusion that is true about f(x) and g(x) based on the table of values is:
- The function f(x) and g(x) are reflections over the y-axis.
- We know that the rule that describes the reflection over the y-axis is:
(x,y) → (-x,y)
Hence, if we have a function f(x) as:
Then it's reflection over the y-axis is:
Hence, they are reflection over the y-axis.
- Also, we know that the exponential function of the type:
where a>0 is a increasing function if b>1
and is a decreasing function if: 0<b<1
Hence, f(x) is a increasing function and g(x) is a decreasing function.
- Also, the initial value of a function is the value of function when x=0
when x=0 we see that both f(x)=g(x)=1
i.e. Both f(x) and g(x) have same initial value.
Also,by the graph we may see the relation.
Answer:
0.818
Step-by-step explanation:
Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.
We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).
We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have
We conclude that
Hence, the shipment will be accepted with probability 0.818
<em>I hope this helps you!</em>