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Goryan [66]
2 years ago
7

There are three letter tiles—A, B, and C—in a bag; and there are three number tiles—1, 2, and 3—in another bag. Alexis picks a l

etter tile, and then she picks a number tile. Complete the table representing the sample space for this situation.

Mathematics
1 answer:
sdas [7]2 years ago
5 0
If she picks the letter A, she can then pick either 1 , 2 or 3
If she picks B, she can pick 1, 2, or 3 and so on.

 See attached picture for the sample space :

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4 and 5 are complements, and 1 and 5 are complements. By the congruent complements theorem, which angle is congruent to 4? 1 2 3
Zepler [3.9K]
The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.

The angle congruent to 4 is 1.
8 0
2 years ago
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The east room of the White House is 79 feet long by 36 feet wide what is the area and what is the perimeter of the east room
prisoha [69]
Assuming it is a rectangular room it would be a perimeter of 151ft.

And the area would be 2844ft

Hope this helps!
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2 years ago
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You are planning to hire a full-time electrician who will work 40 hours per week. If you plan on giving this new hire three week
tresset_1 [31]

Option b) 1960 is the total number of hours the electrician worked.

<u>Step-by-step explanation:</u>

It is given that, the full-time electrician will work 40 hours per week.

So, we need to know the total number of hours he could work in twelve months which is one year.

Therefore, one year has a total of 365 days.

<u>To find the number of weeks in twelve months :</u>

Number of weeks = Total days in one year / 7 days of week

⇒ 365 / 7

⇒ 52.14 (approximately 52 weeks)

The number of weeks in twelve months is 52 weeks.

Now, of this 52 weeks, the three weeks are given as vacation.

The total number of weeks the electrician worked = 52 weeks - 3 weeks

⇒ 49 weeks.

The electrician worked for 49 weeks.

To calculate the total number of hours he worked = 49 weeks × 40 hours

⇒ 1960 hours.

Therefore, the  total number of hours the electrician worked is 1960 hours which is option b).

5 0
2 years ago
Rain and Hantavirus in Mice Hantavirus is carried by wild rodents and causes severe lung disease in humans. A recent study1 on t
Vesna [10]

Answer:

The overview of the given situation is described in the explanation segment below.

Step-by-step explanation:

  • By the details received, the reference variable becomes actual prevalence or occurrence of another virus whereas the descriptive variable becomes precipitation 'Precipitation compensated for 79% throughout variability with prevalence.'

As we know that the determination's coefficient will be:

⇒  R^2

(Percent of variance in the answer variable described by the explanatory variable).

Now the correlation among the two variables will be:

As we know,

⇒  r^2=R^2

⇒  r^2=0.79

⇒  r=\sqrt{0.79}

⇒  r=0.889

8 0
2 years ago
An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greate
Aliun [14]

we know that

<u>The Triangle Inequality Theorem</u> states that the sum of any two sides of a triangle must be greater than the measure of the third side

so

<u>case a)</u> 21+x > 2x

21+x > 2x\\21> 2x-x\\21> x\\x < 21\ cm

<u>case b)</u> x+2x > 21

x+2x > 21\\3x> 21\\x> 7\ cm

therefore

the longest side is 2x

x < 21\ cm\\2x < 42\ cm

the longest side could be 41.99\ cm

rounded to the nearest tenth is  42\ cm

<u>the answer is the option</u>

42\ cm

3 0
2 years ago
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