Evan walks his dog 4 times around the perimeter of a

There is a bag filled with 5 blue and 6 red marbles.

Afina-wow [57]

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

$\displaystyle P\left(\text{Red}\right)=\frac{6}{11}$

Since the marble is replaced, the probability of getting another red is: $\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}$

The probability of getting a blue marble first is:

$\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}$

And the probability of getting another blue is:

$\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}$

So, the probability of getting two of the same color is:

$\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%$

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

4 0

2 years ago

A department store is selling a watch with an initial price of 340. if the price of the watch is marked down by 35%, what is the

sladkih [1.3K]

Answer:

$221

Step-by-step explanation:

First we need to find what is 35% of 340. To do this, we multiply 340 by 0.35. This gives us 119. Because this is the amount they are taking off, we need to subtract it from the initial price. 340-119=221. Therefore the price after being marked down is $221 :)

7 0

3 years ago

Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast

kirza4 [7]

Answer:

They are represented by downward parabola

They have the same equations of line of symmetry

Their vertices have same x-coordinates but different y-coordinates

They have the same domains

They have different ranges

They have different maximum values at same x values

The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up

Step-by-step explanation:

y = -2x² is a quadratic equation which represents by a parabola

From the red graph:

The graph of y = -2x² is represented by downward parabola

It has a maximum vertex (0 , 0)

The line of symmetry at x = 0

Its maximum value = 0 at x = 0

Its domain is {x: x ∈ R}

Its range is {y: y ≤ 0}

From the blue graph:

The graph of y = -2x² + 4 is represented by down ward parabola

It has a maximum vertex (0 , 4)

The line of symmetry at x = 0

Its maximum value = 4 at x = 0

Its domain is {x: x ∈ R}

Its range is {y: y ≤ 4}

From the two graphs

They are represented by downward parabola

They have the same equations of line of symmetry

Their vertices have same x-coordinates but different y-coordinates

They have same domains

They have different ranges

They have different maximum values at same x values

The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up

8 0

3 years ago

Is 3, -3, 3, -3 a geometric sequence

harina [27]

Answer:

Step-by-step explanation:

yes it is a geometric sequence

a1=3

r=-3/3=-1

3 0

3 years ago

Give an example of a set of data displayed in a line graph

bazaltina [42]

Normally it’s like a ratio or starts with a graph on the side so you know what goes onto what part for example if you have a line graph you have 2 numbers.. so the y axis could be days and the x axis could be animals... so the graph would be showing how many animals per day... so it could be written out as 3:4 3,4 or how ever your teacher has you wrote them.. so then you would go on the X axis and find the 3 then go up 4 on the y axis and put a dot right at that point.

7 0

3 years ago