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andreyandreev [35.5K]
3 years ago
14

Trapezoid TUVW is shown on the coordinate plane below: Trapezoid TUVW on the coordinate plane with ordered pairs at T negative 4

, negative 1, at U negative 1, negative 1, at V negative 1, negative 4, at W negative 6, negative 4. If trapezoid T'U'V'W' represents trapezoid TUVW reflected over the y-axis, the ordered pair of W' is ___________. (Note: You must include parentheses, a comma, and a space after the comma when typing the ordered pair.)
Mathematics
2 answers:
Dvinal [7]3 years ago
7 0

Answer:

The ordered pair of W' are after the reflection of the trapezoid TUVW over the y-axis are:

(6,-4)

Step-by-step explanation:

Trapezoid TUVW on the coordinate plane with ordered pairs at :

T(-4,-1) , U(-1,-1)  , V(-1,-4) , W(-6,-4)

Now trapezoid T'U'V'W' represents trapezoid TUVW reflected over the y-axis.

We know that if any figure is reflected over the y-axis then the coordinate changes is given by:

(x,y) → (-x,y)

Here T → T'

        U → U'

        V →  V'

        W → W'

Hence, the coordinates of:

T' are: (4,-1)

U' are: (1,-1)

V' are: (1,-4)

W' are: (6,-4)

Hence the ordered pair of W' are: (6,-4)

MissTica3 years ago
4 0
To reflect over the y axis, the formula is (-x, y). For W, which currently is (-6, -4), the -6 becomes -(-6), which is the same as 6, so the answer is (6, -4).
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1. The probability of telesales representative making a sale on a customer call is 0.15.
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Answer:

1c

 n = 33

1d

 n = 19

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  p = 0.15

     The mean is  \mu  =  5

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

     \mu =  n*  p

=>  5= n *  0.15

=>  n = 33

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

      P( X \ge 1) = 1 - P( X < 1 ) > 0.95

=>    P( X \ge 1) = 1 - P( X =0 ) > 0.95

=>    P( X \ge 1) = 1 - [ ^{n}C_0 *  (0.15 )^0 *  (1- 0.15)^{n-0}] > 0.95

=>    1 - [1  *  1*  (0.85)^{n}] > 0.95

=>    [(0.85)^{n}] > 0.05

taking natural  log of both sides

n = \frac{ln(0.05)}{ln(0.85)}

=>  n = 19

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