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dybincka [34]
2 years ago
7

A deck of cards contains red cards numbered 1,2,3, Blue cards numbered 1,2,3,4,5,6, and green cards numbered 1,2. If a single ca

rd is picked at random, what is the probability that the card is not green? Provide the final answer as a fraction?
Mathematics
1 answer:
serg [7]2 years ago
4 0

Answer:

\frac{9}{11}

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have:

3 red cards

6 blue cards

2 green cards.

What is the probability that the card is not green?

3 + 6 + 2 = 11 cards, of which 3 + 6 = 9 are not green. So

\frac{9}{11} probability that the card is not green

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What is the degree of vertex B and G?
Marat540 [252]

Answer:

degree of vertex B = 2

degree of vertex g = 4

Step-by-step explanation:

Using given picture we need to find about what is the degree of vertex B and G.

In graph theory, we know that the degree (or valency) of a vertex of a graph is the number of edges incident to the vertex.

So we just need to count how many edges are incindent on vertex B and G.

From picture we see that number of edges incident on vertex B = 2

Hence degree of vertex B = 2

From picture we see that number of edges incident on vertex G = 4

Hence degree of vertex g = 4

6 0
3 years ago
Find the difference!!!!!!!!!!!!!!!!!!11
pav-90 [236]

Answer:

-4

Step-by-step explanation:

-10 - (-6)

Remove the brackets:

-10 - - 6

Remember that all negative and negative values are always positive because they are the same; if they are different, for instance, a positive value and a negative value, then that value will be a negative value.

Continue solving:

-10 - - 6

- and - are positive values

- 10 + 6

= - 4

Therefore the answer is 4

6 0
3 years ago
The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:
I am Lyosha [343]

Answer:

$4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Estimate the measure of the clockwise angle formed by the minute hand and the second hand, then classify the angle.
irga5000 [103]
<span>A. 54°; acute is the answer</span>
8 0
3 years ago
In triangle , side and the perpendicular bisector of meet in point , and bisects . If and , what is the area of triangle
stich3 [128]

In triangle ABC, side AC and the perpendicular bisector of BC meet in point D, and BD bisects ∠ABC。 If AD = 9 and DC = 7, 145–√5  is the area of a triangle.

I supposed here that [ABD] is the perimeter of ▲ ABD.

As  BD  is a bisector of  ∠ABC ,

ABBC=ADDC=97

Let  ∠B=2α

Then in isosceles  △DBC

∠C=α

BC=2∗DC∗cosα=14cosα

Thus  AB=18cosα

The Sum of angles in  △ABC  is  π  so

∠A=π−3α

Let's look at  AC=AD+DC=16 :

AC=BCcosC+ABcosA

16=14cos2α+18cosαcos(π−3α)

[1]8=7cos2α−9cosαcos(3α)

cos(3α)=cos(α+2α)=cosαcos(2α)−sinαsin(2α)=cosα(2cos2α−1)−2cosαsin2α=cosα(4cos2α−3)

With  [1]

8=cos2α(7−9(4cos2α−3))

18cos4−17cos2α+4=0

cos2α={12,49}

First root lead to  α=π4  and  ∠BDC=π−∠DBC−∠C=π−2α=π2 . In such case  ∠A=π−∠ABD−∠ADB=π4, and  △ABD  is isosceles with  AD=BD. As  △DBC  is also isosceles with  BD=DC=7,  AD=7≠9.

Thus first root  cos2α=12  cannot be chosen and we have to stick with the second root  cos2α=49. This gives  cosα=23  and  sinα=5√3.

The area of a triangle ABD=12h∗AD  where h  is the distance from  B  to  AC.

h=BCsinC=14cosαsinα

Area of  triangle ABD=145–√5

= 145–√5.

Incomplete question please read below for the proper question.

In triangle ABC, side AC and the perpendicular bisector of BC meet in point D, and BD bisects ∠ABC。 If AD = 9 and DC = 7, what is the area of triangle ABD?

Learn more about the Area of the triangle at

brainly.com/question/23945265

#SPJ4

6 0
2 years ago
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