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rusak2 [61]
3 years ago
6

2. A dice is rolled. A card is drawn from a deck of face cards (i.e. only Jack, Queen, King of each suit). A coin is flipped. a)

Draw a tree diagram to define the sample space for this game. b) You win the game if you toss tails, draw a heart, and roll an even number. Find the probability that you do not win.
Mathematics
1 answer:
LekaFEV [45]3 years ago
8 0
When you roll and even number, the probability of winning is 3/6 or 1/2.
When you want to draw a heart:
The sample space is 12. That is 3 faces and 4 suits. There are 4 hearts in this deck. The probability you get a heart is 4/12 or 1/3. 
When you want to toss a tail: 
Sample<span> space is 2, hea</span>d and tail. You do not win if you get a heads. The probability is 1/2. The probability of winning is 1/2 * 1/3 * 1/2 = 1/12 Then the probability of losing is 1-1/12 = 11/12
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Are the triangles below similar? How do you know? Select one: a. yes, by AA~ b. yes, by SSS~ c. no d. yes, by SAS~ Have a good d
Gemiola [76]

Answer:

Yes, they are similar by SSS.

Step-by-step explanation:

You can see that the triangles have proportional sides. 12/8 = 1.5, 7.5/5 = 1.5. Since the sides have the same ratios, these triangles are similar!

8 0
3 years ago
Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

#SPJ1

6 0
1 year ago
Read 2 more answers
Find the size of each of the interior angles in a regular pentagon
natima [27]
There are 108° in each interior angle of<span> a </span><span>regular pentagon.</span>
6 0
3 years ago
She took $20 with her to the movies. When she come back with $6. How much money did she spend
mihalych1998 [28]

Answer:

$14

Step-by-step explanation:

$20 minus the $6 she came back with equals $14, which is what she spent.

(20-6=14)

7 0
3 years ago
Read 2 more answers
Simplify: −3 • −26<br><br> A. −78<br> B. −68<br> C. 68<br> D. 78
hammer [34]
-3 x -26 = 78

meaning the answer is D.

The reason the answer is D, is because two negatives when multiplied or divided become positive. Only when multiplied or divided does this occur.
3 0
1 year ago
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