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3 years ago

You roll a number cube twice. Find the probability of the events. Rolling an even number of 5.

Mathematics

1 answer:

lys-0071 [83]3 years ago

5 0

Answer:

An even number and a 5. In the first roll you can get 2, 4 or 6, so you have 3 out of 6 options, the probability is 3/6 = 1/2, in the second roll you need you get a 5, the probability is 1/6.

I really hope this helps please give brainliest!!!!

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-100,-200,0,-25,30 in order from least to greatest

Paraphin [41]

-200,-100,-25,0,30

Step-by-step explanation:

negatives will always be less than positives with negatives you put greatest to least and then 0 and then positives from least to greatest

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3 years ago

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1. The prism-shaped roof has equilateral triangular bases. Create an equation that models the height of one of the roof's triang

Mandarinka [93]

1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythegorean theorem, as shown in the picture, the height is $\frac{ \sqrt{3} }{2} a$

2. if a a=25 ft, then the height is $\frac{ \sqrt{3} }{2} a=\frac{ \sqrt{3} }{2} *25= \frac{1.732}{2}*25= 21. 7$ (ft)

3. consider picture 2. Let the length of the roof be l feet.

one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l

the area of the equilateral surfaces is $2*( \frac{1}{2} *a* \frac{ \sqrt{3} }{2}a )=\frac{ \sqrt{3} }{2} a^{2}$

so the total area of the roof is $\frac{ \sqrt{3} }{2} a^{2} +3al$

4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al

5. so the area now is $\frac{ \sqrt{3} }{2} a^{2} +2al$

6. now a=25 and l=2a=50

Area= $\frac{ \sqrt{3} }{2} a^{2} +2al=\frac{ \sqrt{3} }{2} * 25^{2}+2*25*50=25 ^{2} (\frac{ \sqrt{3} }{2} +4)=625*4.866$

=3041.3 (ft squared)

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3 years ago

Read 2 more answers

Use the given facts about the functions to find the indicated limit.

oksian1 [2.3K]

Answer: Option b.

Step-by-step explanation:

1. You can rewrite it as following:

$\lim_{x\to \ -6} 2$

This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 2, no matter the value of x.

$\lim_{x\to \ -6} 2=2$

$\lim_{x\to \ -6} 1$

This means that you must substitute x=-6 into the limit. There is not x, then the function is always equal to 1, no matter the value of x.

$\lim_{x\to \ -6} 1=1$

2. Then:

$\lim_{x\to \ -6} (f/g)(x)=2/1=2$

3. The answer 2.

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3 years ago

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List all partitions of the set. (a) (1,2) (b) [a, b,c)

Alchen [17]

Answer: Hello mate!

The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.

a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.

b) Now we have a set of three objects; B = (a,b,c) the partitions of this set are: (∅), (a), (b), (c), (a,b), (a,c), (b,c), (a,b,c)

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2 years ago

Which of the following pairs of angles are congruent? ( Answer as soon as possible)

Aleks04 [339]

Answer:

C. <w and <y

Step-by-step explanation:

<t and <x are corresponding angles, therefore they are congruent to each other by the corresponding angles theorem.

<w and <y are also corresponding angles and are therefore also congruent.

<x and <z are congruent also based on the vertical angles theorem.

<t and <z are alternate exterior angle, and are therefore congruent also.

So, from the pairs of angles given as options, the only given pair of angles that are congruent would be:

<w and <y

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3 years ago