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Oksanka [162]
3 years ago
15

PLS HELP ASAP calculate the distance between the two points. (18, -24) & (87, 100)

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

<h3>The answer is 141.90 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(18, -24) & (87, 100)

The distance between them is

d =  \sqrt{ ({18 - 87})^{2} +  ({ - 24 - 100})^{2}  }  \\  =  \sqrt{ ( { - 69})^{2}  + ( { - 124})^{2} }  \\  =  \sqrt{4761 + 15376}  \\  = \sqrt{20137}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 141.90489773...

We have the final answer as

<h3>141.90 units</h3>

Hope this helps you

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Gekata [30.6K]

The probability that Mary packed the dinner is 0.15625

<h3>Further explanation</h3>

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

This problem is about Conditional Probability.

in general, the formula we will use is as follows :

\large {\boxed {P ( A | B ) = P ( A \bigcap B ) \div P ( B )} }

Let:

The probability of John that packs the dinners without salt packet is P(J)

The probability of Mary that packs the dinners without salt packet is P(M)

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Then :

P(J) = 45\% \times 4\% = 0.018

P(M) = 25\% \times 2\% = 0.005

P(S) = 30\% \times 3\% = 0.009

If I find there is not salt in my purchased dinner, then the probability that Mary packed my dinner is :

Probability = \frac{P(M)}{P(J) + P(M) + P(S)}

Probability = \frac{0.005}{0.018 + 0.005 + 0.009}

Probability = \frac{0.005}{0.032}

\large {\boxed {Probability = 0.15625} }

<h3>Learn more</h3>
  • Different Birthdays : brainly.com/question/7567074
  • Dependent or Independent Events : brainly.com/question/12029535
  • Mutually exclusive : brainly.com/question/3464581

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Workers , Fast Food Restaurant , Salt Packet , Dinner

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