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2 years ago

A marble bag has four marbles. One is green, one is red, one is blue, and one is yellow. Which of these is a simple event?

Mathematics

2 answers:

tino4ka555 [31]2 years ago

8 0

Answer with explanation:

Number of Marbles in the bag =4 Marbles(Green +Red+Blue +Yellow)

An Event is said to be Simple, if While Performing the experiment,there is only one Possible Outcome. It can be Denoted by P(E),P(O),or by any other notation.And the Probability of each outcome lies between 0 and 1.

Here there are four Simple Events

1. Drawing a Green Marble From the Bag.

2. Drawing a Red Marble From the Bag.

3. Drawing a Blue Marble From the Bag.

4. Drawing a Yellow Marble From the Bag.

Option A: Drawing a blue marble, is Simple Event.

Evgesh-ka [11]2 years ago

6 0

<span>A. Drawing a blue marble.</span>

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2 years ago

Which term describes a time period marked by a change that begins a new period of development? century decade era millennium

defon

Answer:

Era

Step-by-step explanation:

Century, Decade and Millennium have something in common and that which they have in common is that they are all measurement of time.

The keyword measurement implies that they are units of time just like seconds, minutes, hours, etc.

Century -> 100 years

Decade -> 10 years

Millennium -> 1000 years

However, era is used to describe events in history;

Take for instance; the era of the first generation of computer;

So, from the list of given options; Era best answers the question

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2 years ago

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use the drop-down menus to describe the key aspects of the function f(x) = –x2 – 2x – 1. the vertex is the . the function is inc

timurjin [86]

Answer:

The vertex of the parabola is the maximum value, i.e.,(-1,0). The function is increasing x<-1. the function is decreasing x>-1. the domain of the function is all real numbers. the range of the function is all real numbers less than or equal to 0.

Step-by-step explanation:

The given function is

$f(x)=-x^2-2x-1$

$f(x)=-[x^2+2x+1]$

$f(x)=-(x+1)^2$ ....(1)

The general vertex form of the parabola is

$f(x)=a(x-h)^2+k$ .....(2)

Where, (h,k) is vertex and a is stretch factor.

On comparing (1) and (2), we get

$a=-1$

$h=-1$

$k=0$

The vertex of the parabola is (-1,0). Since a=-1<1 so it is a downward parabola.

The axis of symmetry is x=-1. So, before -1 the function is increasing and after -1 the function is decreasing.

The vertex of a downward parabola is the point of maxima. So, the rang of the function can not exceed 0.

Therefore the vertex of the parabola is the maximum value, i.e.,(-1,0). The function is increasing x<-1. the function is decreasing x>-1. the domain of the function is all real numbers. the range of the function is all real numbers less than or equal to 0.

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2 years ago

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A long time ago Dulani found an island shaped like a triangle with three straight shores of length 3 km 4 km and 5 km.He said no

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To find the area of his exclusion zone you would need to understand that a triangle with dimensions of 3, 4, and 5 represent a right triangle.

This means the exclusion zone would be applied to the base and the height of the triangular space.

You would add 2 km to the 3 km, and 2 km to the 4 km to create a new height of 5 km and a new base of 6 km.

Please see the attached picture to understand this.

You will find the area of the total space created by the new triangle and subtract the space represented by the original triangle to find the area of the exclusion zone.

(1/2 x 6 x 5) - (1/2 x 4 x 3)
15 km² -6 km² equals 9 km².

The exclusion space is 9 km².

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2 years ago

For the given cost function C(x), find the oblique asymptote of the average cost function C(X), C(x)=14,000+94x+0.03x^2

marusya05 [52]

Answer: y = 0.03x + 94

--------------------------------------

Explanation:

Lets define A(x) to be the average cost function where
A(x) = C(x)/x
basically you divide the given cost function C(x) by the number of units produced (x)

Dividing C(x) over x leads to:
A(x) = C(x)/x
A(x) = (14000+94x+0.03x^2)/x ... substitution
A(x) = (0.03x^2+94x+14000)/x ... rearrange terms
A(x) = (0.03x^2)/x+(94x)/x+(14000)/x ... break up the fraction
A(x) = 0.03x + 94 + (14000/x) ... simplify

If x were to head off to infinity, then the portion 14000/x approaches 0.

So this is why the oblique asymptote is y = 0.03x + 94

Basically, in the long run, the average cost will approach y = 0.03x + 94

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2 years ago