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3 years ago

How to prove points belong to the same circle

1 answer:

4 0

Not sure what the mess above me says, but basically as long as you have an equation for the circle, you can plug the coordinates of your point into the x and y values of the equation and see if it equals out. If you don’t have an equation, you can just make one. Use (f-k)^2+(x-h)^2=r^2 where h and k are the coordinates of the center of the circle and r is the radius. Hope this helps!

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Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari

Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

<u><em>Let X = waiting time for a car to pass by on a country road</em></u>

The probability distribution function of exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} , x >0$ where, $\lambda$ = parameter of distribution.

Now, the mean of exponential distribution is = $\frac{1}{\lambda}$ which is given to us as 35 minutes that means $\lambda = \frac{1}{35}$ .

So, X ~ Exp( $\lambda = \frac{1}{35}$ )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

$F(x) = P(X \leq x) = 1 - e^{-\lambda x}$ , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X $\leq$ 37 min)

P(X $\leq$ 37 min) = $1 - e^{-\frac{1}{35} \times 37}$ {Using CDF}

= 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0

3 years ago

True or False

DanielleElmas [232]

Answer: False actually

6 0

3 years ago

Which ordered pair is a solution of the equation

alekssr [168]

Answer:

OPTION D: NEITHER

Step-by-step explanation:

The given equation is: 7x - 2y = - 5

To find a solution to this, we substitute the options and compare LHS and RHS.

OPTION A: (1, 5)

LHS = 7(1) - 2(5) = 7 - 10 = -3

RHS = - 5

LHS $\ne$ RHS.

So, this option is eliminated.

OPTION B: (-1, 1)

LHS = 7(-1) - 2(1) = -7 - 2 = - 9

RHS = - 5

Again, LHS $\ne$ RHS.

So, this Option is eliminated as well.

OPTION C: It says both A and B. Clearly, this is eliminated as well.

Therefore, the answer is: OPTION D: NEITHER.

NOTE: This is a two variable equation. So, we need a minimum of two equations to determine the solution. Since, only one equation is given here, we use the help of options.

8 0

4 years ago

In order for figure EFGH to be a trapozoid, which of the following must be true?

kicyunya [14]

You must connect all the letters to create the shape of a trapezoid

7 0

4 years ago

Did not mean to post and now this bubble won't go away :)

viktelen [127]

awwww..... that's what happens if you can't restrain yourself from judgment to one person . it will imprint on itself nor the sayings .

6 0

3 years ago

Read 2 more answers