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Tems11 [23]
3 years ago
6

Find the distance between the points (-6, – 7) and (5. – 7).

Mathematics
2 answers:
kvasek [131]3 years ago
7 0

Answer:

\boxed {\boxed {\sf d= 11}}

Step-by-step explanation:

We are asked to find the distance between 2 points. We will use the distance formula.

d= \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2

In this formula, (x₁ , y₁) and (x₂ , y₂) are the points. We are given the points (-6, -7) and (5, -7). If we match the value and the corresponding variable, we see that:

  • x₁ = -6
  • y₁ = -7
  • x₂ = 5
  • y₂ = -7

Substitute these values into the formula.

d= \sqrt{(5- -6)^2 + (-7--7)^2

Solve inside the parentheses. Remember that two back-to-back negative signs become a plus sign.

  • (5 - - 6) = (5 +6) = 11
  • ( -7 - - 7) = (-7 +7) = 0

d= \sqrt{ (11)^2+(0)^2

Solve the exponents.

  • (11)² = 11 * 11 = 121
  • (0)² = 0*0= 0

d= \sqrt{(121)+(0)

Add.

d= \sqrt{121}

d=11

The distance between (-6, -7) and (5, -7) is <u>11.</u>

QveST [7]3 years ago
5 0

Answer:

11

Step-by-step explanation:

d=√(5-(-6))²+(-7-(-7))²

d=√(11²+0²)

d=11

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k0ka [10]

Answer:

$1.68 per match

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Step-by-step explanation:

Given:

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Solution:

- Construct a probability distribution table, where X: payout per match

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          P(X)           0.48                 0.48                0.04

Case X = $1 :          _    _   _   All three different numbers

     No.outcomes    5 * 4 * 3 = 60

     Total outcome  5 * 5 * 5 = 125

Hence, P(X= $ 1) = 60 / 125 = 0.48

Case X = $2 :          S    _   S   two numbers are same

     No.outcomes  = 5 * 4 * 1 = 20 per combination

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     Total outcome = 3 * 20 = 60

Hence, P(X= $ 2) = 60 / 125 = 0.48              

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     No.outcomes  = 5 * 1 * 1 = 5 per combination

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Hence, P(X= $ 2) = 5 / 125 = 0.04    

           

- Expected Payout E(X):

      E(X) = 1*0.48 + 2*0.48 + 6*0.04 = $1.68 per match

- To earn $0.01 on average the fee of match is:

      Fee_avg = E(X) + $0.01 = $1.69

- With this new plan your friend would loose less. The expected payout of a match is $1.68 for which the probability X < $ 2 is around = 0.48. However, to gain a $2 or higher P ( X > 2 ) = 0.48 + 0.04 = 0.52. Hence, the week-payout for X > 2 is greater than 7*2 = $14. So probability of week's payout to be $14 is higher than to be $ 11.76 as per average pay per day.

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3 years ago
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