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kotykmax [81]
3 years ago
5

Using the distance formula , find the distance from the center of your habitat to the point (x, y). Write this equation. Your an

swer will contain x- and y-terms.
Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

See explanation

Step-by-step explanation:

The distance formula is given by:

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

We want to find the distance between (a,b) and (x,y).

The center of the habitat is missing in the question.

Assuming the center is (a,b) where a and b are real numbers, then we can use the distance formula to obtain:

d = \sqrt{(x - a)^{2} +  {(y - b)}^{2}  }

For instance if the center of your habitat us (2,-1), then

d = \sqrt{(x - 2)^{2} +  {(y  + 1)}^{2}  }

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Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabiliti
lorasvet [3.4K]

Answer:

Step-by-step explanation:

Hello!

Given the variable

X: number of bars of service on your cell phone.

The posible values of this variable are {0, 1, 2, 3, 4, 5}

a. F(X) is the cummulative distribution function P(X≤x₀) you can calculate it by adding all the point probabilities for each value:

X: 0; 1; 2; 3; 4; 5

P(X): 0.15; 0.25; 0.25; 0.15; 0.1; 0.1

F(X): 0.15; 0.4; 0.65; 0.8; 0.9; 1

The maximum cumulative probability of any F(X) is 1, knowing this, you can calculate the probability of X=5 as: 1 - F(4)= 1 - 0.9= 0.1

b.

The mean of the sample is:

E(X)= ∑Xi*Pi= (0*0.15)+(1*0.25)+(2*0.25)+(3*0.15)+(4*0.1)+(5*0.1)

E(X)= 2.1

V(X)= E(X²)-(E(X))²

V(X)= ∑Xi²*Pi- (∑Xi*Pi)²= 6.7- (2.1)²= 2.29

∑Xi²*Pi= (0²*0.15)+(1²*0.25)+(2²*0.25)+(3²*0.15)+(4²*0.1)+(5²*0.1)= 6.7

c.

P(X<2)

You can read this expression as the probability of having less than 2 bars of service. This means you can have either one or zero service bars, you can rewrite it as:

P(X<2)= P(X≤1)= F(1)= 0.4

d.

P(X≤3.5)

This expression means "the probability of having at most (or less or equal to) 3.5 service bars", this variable doesn't have the value 3.5 in its definition range so you have to look for the accumulated probability until the lesser whole number. This expression includes the probabilities of X=0, X=1, X=2, and X=3, you can express it as the accumulated probability until 3, F(3):

P(X≤3.5)= P(X≤3)= F(3)= 0.80

I hope it helps!

5 0
3 years ago
Please help !!! Need fast
evablogger [386]
4x+30=90
4x = 60
  x = 15

answer is B. 15
4 0
3 years ago
Read 2 more answers
1. Six units to the left of 3
trapecia [35]

Answer:

six uniys to left of 3 is= +2,+1,0,-1-2-3

three unit right of 15is= +16,+17, +18

Eight unit to the left of =-4,-5,-6,-8,-9,-10,-11,-12

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8 0
3 years ago
What is the prime factorozation of 760 in expended form
harina [27]
 The Prime Factorization of 760 is 19·5·2·2·2
Because those are the prime number factors of 760
8 0
3 years ago
Help ill give you Brainliesttt ‼️‼️‼️‼️‼️‼️
Lesechka [4]

Answer:

Step-by-step explanation:

+ we take t- number of tickets and each ticket cost $7.

So t is too the number of people who buy tickets, then

0\leq t\leq 200

A) We can calculate the amount of money: M= 7t where 0\leq t\leq 200

B) The domain for t is 0\leq t\leq 200, t is an integer.

C) The range for the amount M:

0*7\leq M\leq 200*7\\0\leq M\leq 1400

5 0
3 years ago
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