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svp [43]
3 years ago
9

Which sentence states a property or a definition used in the construction of a perpendicular bisector?

Mathematics
1 answer:
Vikki [24]3 years ago
4 0
The answer would be LETTER D.
See attachment

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Lilit [14]

Answer:  A & B are the same answer --> 96, max

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

Consider m is the degree of the numerator (top) and n is the degree of the denominator (bottom). Then the horizontal asymptote (H.A.) is based on the relationship between m and n:

  • If m > n, then there is no H.A.
  • If m = n, then y = coefficient of numerator ÷ coefficient of denominator
  • If m < n, then y = 0

In the given problem, m = 1 and n = 1 so the H.A. is:

y=\dfrac{60}{0.625}\quad \rightarrow \quad y=96

This is the maximum number of moose that the forest can sustain at one time.

4 0
3 years ago
Read 2 more answers
Probability distribution part 2<br>​
steposvetlana [31]

Answer:

  b.  -0.862

Step-by-step explanation:

The only answer choice with a minus sign is B, which is the correct choice.

When the value of interest is below the mean (2800 is below 3550), the z-score will be negative:

  z = (2800 -3550)/870 = -750/870 ≈ -0.86207 ≈ -0.862

_____

As always, z is computed as ...

  Z = (X -μ)/σ

7 0
3 years ago
HELP MEEEEEEEEE<br><br> how many grams are in 562 dg?
Law Incorporation [45]

Answer:  the answer is 56.2 g

Step-by-step explanation:

562 dg * 1 g/10 dg = 56.2 g

hope i helped

-lvr

3 0
3 years ago
We have two fair three-sided dice, indexed by i = 1, 2. Each die has sides labeled 1, 2, and 3. We roll the two dice independent
Nikitich [7]

Answer:

(a) P(X = 0) = 1/3

(b) P(X = 1) = 2/9

(c) P(X = −2) = 1/9

(d) P(X = 3) = 0

(a) P(Y = 0) = 0

(b) P(Y = 1) = 1/3

(c) P(Y = 2) = 1/3

Step-by-step explanation:

Given:

- Two 3-sided fair die.

- Random Variable X_1 : Result on 1st die.

- Random Variable X_2: Result on 2nd die.

- Random Variable X = X_2 - X_1.

Solution:

 

- Possible outcomes of X : { - 2 , -1 , 0 ,1 , 2 }

- The corresponding probabilities for each outcome are:

                 ( X = -2 ):  { X_2 = 1 , X_1 = 3 }  

                P ( X = -2 ):  P ( X_2 = 1 ) * P ( X_1 = 3 )  

                                :  ( 1 / 3 ) * ( 1 / 3 )  

                                : ( 1 / 9 )    

                ( X = -1 ):  { X_2 = 1 , X_1 = 2 } + { X_2 = 2 , X_1 = 3 }

                P ( X = -1 ):  P ( X_2 = 1 ) * P ( X_1 = 3 ) + P ( X_2 = 2 ) * P ( X_1 = 3)

                                :  ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

                                : ( 2 / 9 )        

 ( X = 0 ):  { X_2 = 1 , X_1 = 1 } + { X_2 = 2 , X_1 = 2 } +  { X_2 = 3 , X_1 = 3 }

               P ( X = -1 ):3*P ( X_2 = 1 )*P ( X_1 = 1 )

                                :  3*( 1 / 3 ) * ( 1 / 3 )

                                : ( 3 / 9 ) = ( 1 / 3 )        

                  ( X = 1 ):  { X_2 = 2 , X_1 = 1 } + { X_2 = 3 , X_1 = 2 }

               P ( X = 1 ): 2* P ( X_2 = 2 ) * P ( X_1 = 1 )

                                : 2* ( 1 / 3 ) * ( 1 / 3 )

                                : ( 2 / 9 )

                  ( X = 2 ):  { X_2 = 1 , X_1 = 3 }

                 P ( X = 2 ):  P ( X_2 = 3 ) * P ( X_1 = 1 )  

                                   :  ( 1 / 3 ) * ( 1 / 3 )  

                                   : ( 1 / 9 )                  

- The distribution Y = X_2,

                         P(Y=0) = 0

                         P(Y=1) =  1/3

                         P(Y=2) = 1/ 3

- The probability for each number of 3 sided die is same = 1 / 3.

8 0
3 years ago
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
garik1379 [7]

Answer:

The probability that X is less than 32 minutes is 0.736.

Step-by-step explanation:

Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e. \lambda=24

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

The exponentially function is \frac{1}{\lambda}e^{-\frac{x}{\lambda}}

The function form according to question is

f(x)=\{\frac{1}{24}e^{-\frac{x}{24}}, x>0\}

The probability that X is less than 32 minutes is

P[x

P[x

P[x

Therefore, the probability that X is less than 32 minutes is 0.736.

7 0
3 years ago
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