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9966 [12]
3 years ago
8

Is this a right triangle? 15 m, 36 m, 39 m

Mathematics
2 answers:
Vesnalui [34]3 years ago
5 0

Answer:

YES

Step-by-step explanation:

use pythagorean theorem

15^2 + 36^2 = 39^2

225 + 1296 = 1521

1521=1521

Fudgin [204]3 years ago
4 0

Answer:

Yes

Step-by-step explanation:

As\ we\ know\ that,\\The\ sides\ of\ a\ right\ triangle\ are\ pythagorean\ triplets\ in\ the\ form:\\a^2+b^2=c^2\\Here,\\39\ is\ the\ hypotenuse\ as\ it\ is\ the\ longest\ side.\\Hence,\\a^2+b^2=c^2\\Substituting\ a=15,b=36\ on\ the\ LHS,\\15^2+36^2\\=225+1296\\=1521\\On\ the\ RHS\ ,lets\ substitute\ c=39.\\Hence,\\c^2=39^2\\c^2=1521\\As\ LHS=RHS,\ The\ given\ triangle\ is\ a\ right\ triangle.

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Q4.
Levart [38]

Probabilities are used to determine the chances of an event

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  • The probability that both counters are white is 0.16

<h3>(a) Probability of selecting two blacks</h3>

The probability is given as:

P(Black\ n\ Black)=0.36

Apply probability formula

P(Black) \times P(Black)=0.36

Express as squares

P(Black)^2=0.36

Take the square root of both sides

P(Black)=0.6

Hence, the probability of choosing a black counter is 0.6

<h3>(b) Probability of selecting two white counters</h3>

In (a), we have:

P(Black)=0.6

Using the complement rule, we have:

P(White) = 1 - P(Black)

So, we have:

P(White) = 1 -0.6

Evaluate

P(White) = 0.4

The probability that both counters are white is then calculated as:

P(White\ and\ White) = P(White) \times P(White)

So, we have:

P(White\ and\ White) =0.4 \times 0.4

P(White\ and\ White) =0.16

Hence, the probability that both counters are white is 0.16

Read more about probabilities at:

brainly.com/question/15858152

6 0
2 years ago
In the data set below, which of these points is most likely and outlier?
shusha [124]
<h2>Answer:</h2>

Option: D is the correct answer.

                 D.  (2,54)

<h2>Step-by-step explanation:</h2>

We know that an outlier of a data set is the value that stands out of the rest of the data point i.e. either it is a too high value or a too low value as compared to other data points.

Here  we are given a set of data points as:

         (2,54)

          (4,7)

         (6, 9)

         (8,12)

         (10,15)

Hence, we see that the output values i.e. 7 in (4,7) ; 9 in (6,9) ; 12 in (8,12) and 15 in (10,15) are closely related.

Hence, the data point that is an outlier is:

                  (2,54)

(As 54 is a much high value as compared to other)

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3 years ago
Round 1,400,304.7258 to the nearest hundred thousand
Jet001 [13]

Answer:

1,400,304.726 is the answer

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2 years ago
Officer Brimberry wrote 16 tickets for traffic violations last week, but only 2 tickets this week. What is the percent decrease?
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Answer:

87.5%

Step-by-step explanation:

It decreased by 16 - 2 or 14, and since he wrote 16 tickets last week, the answer is 14/16 in percent form, or 7/8 = 87.5%.

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