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MA_775_DIABLO [31]
3 years ago
8

Raymond has a motion detector light which gets activated an average of 15 times every 2 hours during the night. In order to find

the probability that the motion detector light will be activated exactly 8 times in a 55 minute period during the night using the Poisson distribution, what does the random variable X represent
Mathematics
1 answer:
Brums [2.3K]3 years ago
5 0

Answer:

The number of activations in 55 mins.

Step-by-step explanation:

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The curve y= (k+2)x^2 meets the line y=(k+3)x +3. Find the range of possible values of k.
Greeley [361]
(k+2)x^2=(k+3)x+3\\
(k+2)x^2-(k+3)x-3=0\\
\Delta\geq0 \wedge k\not=-2\\
\Delta=(-(k-3))^2-4\cdot(k+2)\cdot(-3)\\
\Delta=(-k+3)^2+12k+24\\
\Delta=k^2-6k+9+12k+24\\
\Delta=k^2+6k+33\\
k^2+6k+33\geq0\\
\Delta=6^2-4\cdot1\cdot33=36-132=-9
3 0
4 years ago
12. Find the area of the parallelogram.<br> 2.8 in<br> 7.5 in
statuscvo [17]

Answer:

21

Step-by-step explanation:

Area Equation for a Parallelogram

A = BH

Plug Numbers in

A = 2.8 (7.5)

Simplify

<u>A = 21</u>

7 0
3 years ago
Read 2 more answers
A batman costume costs $20. A harlequin costume costs twice as much as the batman costume. How much does a harlequin costume cos
Gnoma [55]

Answer:the harleyquin costume would cost 40 $

Step-by-step explanation: as given the batman costume costs 20$. so 20 times 2 equals 40$.

20*2= 40$

6 0
3 years ago
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100 POINTS! I REALLY NEED TO GET THIS CORRECT! Factor the quadratic trinomial.
Assoli18 [71]

The factors of the equation x^2-3x-18 are (x-6)(x+3)

Step-by-step explanation:

We need to factor the quadratic trinomial. x^2-3x-18

We will do factorization by braking the middle term such that adding those number we get middle term (-3x) and multiplying those numbers we get (-18x^2)

Solving:

x^2-3x-18\\=x^2-6x+3x-18\\=x(x-6)+3(x-6)\\=(x-6)(x+3)

So, the factors of the equation x^2-3x-18 are (x-6)(x+3)

Keywords: Finding Factors of Quadratic Equation

Learn more about Finding Factors of Quadratic Equation at:

  • brainly.com/question/10771256
  • brainly.com/question/1332667
  • brainly.com/question/1357167

#learnwithBrainly

8 0
4 years ago
Here is a division equation: 4/5 ÷ 2/3 = ? Write a multiplication equation that corresponds to the division equation.
Finger [1]

Answer:

4/5 * 3/2

Step-by-step explanation:

fraction division = multiplying the first fractions by the reciprocal of the second fractions (the tops are bottoms are flipped).

5 0
3 years ago
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