Which graph represents the function on the interval [-3,3]? f(x)=[x]-3
1 answer:
<h2>Answer:</h2>
Shown below
<h2>Step-by-step explanation:</h2>This function represents greatest integer function, which is the most famous of the step functions, which is denoted by . So, this function is defined as:
. The graph of the greatest integer function has the following characteristics:
a) The domain of the function is the set of all real numbers.
b) The range of the function is the set of all integers.
c) The graph has a at
and
in the interval
d) The graph is constant between each pair of consecutive integers.
e) The graph jumps vertically one unit at each integer value.
tells us that the original function has been shifted 3 units downward. So the correct option has been marked in the square red below.
You might be interested in
Answer:
And if we solve for a we got
And the limits for this case are: (214.4; 295.4)
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the annual precipitation of a population, and for this case we know the distribution for X is given by:
Where and
The confidence level is 95.44 and the signficance is and the value of
. And the critical value for this case is
Using this condition we can find the limits
And if we solve for a we got
And the limits for this case are: (214.4; 295.4)
Step 1: Y is equal to so where ever you see a y in the equation 3x - 4y = -5 replace it with
3x - 4() = -5
Now all your variables are x and you can solve for x
Step 2: Distribute for to the numbers in the parentheses
3x - 3x - 8 = -5
Step 3: Combine like terms
0x - 8 = -5
0x = 3
Step 4: Isolate x
0x/0 = 3/0
3/0 is undefined
^^^ This means that there is no answer
If you look at the graph below you can see that these lines are parallel and therefore have no intersection point
Hope this helped!
Answer:
(a) I attached a photo with the diagram.
(b)
(c) 1/4
(d) 4
(e)
Step-by-step explanation:
(a) I attached a photo with the diagram.
(b) The easiest way to think about this part is in terms of combinatorics. Think about it like this.
To begin with, look at the three each level of the three represents a possible outcome of throwing the coin n-times. If you throw the coin 3 times at the end in total there are 8 possible outcomes. But The favorable outcomes are just 2.
1 - Your first outcome is HEADS and all the others are different except the last one.
2 - Your first outcome is TAILS and all the others are different except the last one.
Therefore the probability of the event is
(c)
P(X = 0) = 0 because it is not possible to have two consecutive tails or heads.
(d)
Remember that this is a geometric distribution therefore
, in this case
so
and
Also
(e)
This is a geometric distribution so its variance is
And using properties of variance
