Please answer my question thank you.
2 answers:
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Answer:
Slope= 3
Step-by-step explanation:
y - 4= 3(x+6)
y - 4= 3x + 18 distributive property
y - 4(+4) = 3x + 18(+4)
cancel out the 4 with its oposite and apply to both sides.
y = 3x + 22 final answer
Remember the slope intersept equation... y=mx+b
m is slope
b means the y-intersept.
So the final slope of the line is 3. (demostrated by graph below)
<em>Program for graph: Desmos</em>
Answer:
(a1) The probability that temperature increase will be less than 20°C is 0.667.
(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.
(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.
(c) The expected value of the temperature increase is 17.5°C.
Step-by-step explanation:
Let <em>X</em> = temperature increase.
The random variable <em>X</em> follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].
The probability density function of <em>X</em> is:
(a1)
Compute the probability that temperature increase will be less than 20°C as follows:
Thus, the probability that temperature increase will be less than 20°C is 0.667.
(a2)
Compute the probability that temperature increase will be between 20°C and 22°C as follows:
Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.
(b)
Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:
Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.
(c)
Compute the expected value of the uniform random variable <em>X</em> as follows:
Thus, the expected value of the temperature increase is 17.5°C.