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masha68 [24]
3 years ago
6

What is the probability of getting either a sum of 5 or at least one 5 in the roll of a pair of dice?

Mathematics
1 answer:
maria [59]3 years ago
4 0
In a throw of 2 fair dice, there are 6*6=36 equiprobability outcomes.

To get a sum of 5, there are 4 ways, (1,4),(2,3),(3,2),(4,1) with probability of 4/36=1/9

To get at least one 5, there are 6+6-1=11 outcomes (note (5,5) has been counted in both, so subtracted from sum).  The probability is 11/36

Since the two events are mutually exclusive (once we have a five, the sum can no longer be 5), we can add the probabilities to get the probability of one event or the other.

P(sum of 5 OR at least one 5)=1/9+11/36=4/36+11/36=15/36=5/9
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Is this set closed or not closed under the operation ? Negative integers under multiplication
Romashka [77]

The set is not closed

Example:

-4 * -3 = 12  this is not a negative integer

5 0
3 years ago
a cardboard box holds 31.25 cubic inches of creamy butter. The butter is molded into a square prism that is 5 inches long. How m
lesya [120]

Answer:

62.5 \:in^2

Step-by-step explanation:

Volume of the butter in the cardboard = 31.25 cubic inches

Length of the Molded Square Prism =5 Inches

Let the length of the square cross sectional area = x

Volume of the Prism=x^2l

Since l=5 Inches

5x^2=31.25\\x^2=6.25\\x=2.5\: Inches

Next, we determine the surface area of the New Cardboard box to be made.

Length of the Cardboard Box=5 Inches

Length of the square cross sectional area = 2.5 Inches

Total Surface Area=2(x^2+xl+xl)=2(x^2+2xl)

=2(2.5^2+2(2.5)(5))\\=2(6.25+25)\\=2*31.25\\=62.5 \:in^2

Therefore, 62.5 \:in^2 of cardboard is needed,

4 0
3 years ago
Convert 3.55 grams potassium to atoms
vampirchik [111]
<span>Firstly, you'll need to convert the grams into number of mols. Since no. of mol = mass/molecular weight3.55/39.1 = 0.09079 mol because 1 mol of potassium ...</span><span>
</span>
6 0
3 years ago
Elaine is 8 years younger than her brother Tyler. The sum of their ages is 34. What are Elaine's and Tyler's age?
antoniya [11.8K]
<span>Here, Elaine = Tyler + (-8)

</span>⇒ E<span>laine + 0 + Tyler + 0 = 34
</span>⇒ T<span>yler + (-8) + 0 + Tyler + 0 = 34

And, Tyler = [(34 - (0) - (-8)] / 2

Thus, Tyler = 21
And, Elaine = 21 + (-8)
                   =13

</span>∴ T<span>yler = 21 & Elaine = 13


Regards

#Exotic Explorer</span>
4 0
3 years ago
Read 2 more answers
Which of the following accurately lists all the discontinuities for the graph below
Mila [183]
The correct answer is option B.

From the graph we can see the following discontinuities:
a) A hole at x = -2
b) A jump at x = 0
c) A hole at x = 8

The hole refers to the point discontinuity and the jump refers to as jump discontinuity. The function is defined and is continuous at x = 3

Thus, the given graph has jump discontinuity  at x = 0 and point discontinuity at x = -2 and x = 8
6 0
3 years ago
Read 2 more answers
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