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Butoxors [25]
3 years ago
7

Consider the following experiment: triplets are born and the order of birth of boys and girls is recorded.

Mathematics
2 answers:
Scrat [10]3 years ago
8 0
No, it is not the compliment.

If you have two complimentary events, they account for all possible outcomes of a situation. With these two events, we don't account for having exactly 2 children that are boys.
SOVA2 [1]3 years ago
4 0

Answer:

No, event B is not complement of event A.

Step-by-step explanation:

Event B is not a compliment of Event A because in complement we consider all those outcomes of the event which we don't want.If those outcomes match with the outcomes of the other event then we consider it as a complement of other event.Here in this case the outcomes which we don't want are not the complement of the outcomes of the other event.


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HELP PLEASE 50 points !!! Given a polynomial function describe the effects on the Y intercept, region where the graph is incre
Gwar [14]

Even function:

A function is said to be even if its graph is symmetric with respect to the , that is:

Odd function:

A function is said to be odd if its graph is symmetric with respect to the origin, that is:

So let's analyze each question for each type of functions using examples of polynomial functions. Thus:

FOR EVEN FUNCTIONS:

1. When  becomes  

1.1 Effects on the y-intercept

We need to find out the effects on the y-intercept when shifting the function  into:

We know that the graph  intersects the y-axis when , therefore:

So:

So the y-intercept of  is one unit less than the y-intercept of

1.2. Effects on the regions where the graph is increasing and decreasing

Given that you are shifting the graph downward on the y-axis, there is no any effect on the intervals of the domain. The function  increases and decreases in the same intervals of

1.3 The end behavior when the following changes are made.

The function is shifted one unit downward, so each point of  has the same x-coordinate but the output is one unit less than the output of . Thus, each point will be sketched as:

FOR ODD FUNCTIONS:

2. When  becomes  

2.1 Effects on the y-intercept

In this case happens the same as in the previous case. The new y-intercept is one unit less. So the graph is shifted one unit downward again.

An example is shown in Figure 1. The graph in blue is the function:

and the function in red is:

So you can see that:

2.2. Effects on the regions where the graph is increasing and decreasing

The effects are the same just as in the previous case. So the new function increases and decreases in the same intervals of

In Figure 1 you can see that both functions increase at:

and decrease at:

2.3 The end behavior when the following changes are made.

It happens the same, the output is one unit less than the output of . So, you can write the points just as they were written before.

So you can realize this concept by taking a point with the same x-coordinate of both graphs in Figure 1.

FOR EVEN FUNCTIONS:

3. When  becomes  

3.1 Effects on the y-intercept

We need to find out the effects on the y-intercept when shifting the function  into:

As we know, the graph  intersects the y-axis when , therefore:

And:

So the new y-intercept is the negative of the previous intercept shifted one unit upward.

3.2. Effects on the regions where the graph is increasing and decreasing

In the intervals when the function  increases, the function  decreases. On the other hand, in the intervals when the function  decreases, the function  increases.

3.3 The end behavior when the following changes are made.

Each point of the function  has the same x-coordinate just as the function  and the y-coordinate is the negative of the previous coordinate shifted one unit upward, that is:

FOR ODD FUNCTIONS:

4. When  becomes  

4.1 Effects on the y-intercept

In this case happens the same as in the previous case. The new y-intercept is the negative of the previous intercept shifted one unit upward.

4.2. Effects on the regions where the graph is increasing and decreasing

In this case it happens the same. So in the intervals when the function  increases, the function  decreases. On the other hand, in the intervals when the function  decreases, the function  increases.

4.3 The end behavior when the following changes are made.

Similarly, each point of the function  has the same x-coordinate just as the function  and the y-coordinate is the negative of the previous coordinate shifted one unit upward.

6 0
3 years ago
Out of a salary of $4500. I kept 1/3 as saving. Out of the remaining money. I spend 50% on food and 20% on house rent. How much
Step2247 [10]
Well 1/3 for savings means that you save 1/3*4500 or 1500 dollars.
You then have $3000 left. Of this if you spend 50% on food, you spend 0.5*3000 or 1500 dollars on food.
7 0
3 years ago
Those are my choices pls tell me which one would fit this problem!! <br>THERES A PIC ATTACHED
denis23 [38]

Answer: Opens up, has a minimum

Step-by-step explanation:

If the x^2 term is positive the parabola opens up, if it is negative it opens down. Minimum always goes with up, maximum with down

7 0
3 years ago
What is 23d=109<br> pls answer
grandymaker [24]

Answer:

what kinda... what do they give yall these days but anyways,

Step-by-step explanation:

Divide each term by

23 and simplify.

Exact Form:

d=109/23

Decimal Form:

d=4.73913043

um…

Mixed Number Form:

d=4 17/23

5 0
3 years ago
If you have 63 books and you donate 1/3 of you’re books how many will you have left
ryzh [129]

Answer: 42

Step-by-step explanation: you would do 63 divided by 3 then you would get 21 and do 21×2 and get 42

6 0
3 years ago
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