Answer:
x°+2x°+(x-24)°=180°
Step-by-step explanation:
The sum of of the interior angles of all triangles add up to 180°
Adding x°, 2x°, and (x-24)° <em>will</em> equal 180
Therefore, an equation that can be used to solve for the missing angles is: x°+2x°+(x-24)°=180°
Answer:
Step-by-step explanation:
To find the area subtract the area of the semicircle from the area of the rectangle.
Although the line isn’t there, if you imagine there is one, then you will see that you form a rectangle which is the same line as the semicircle’s diameter.
The area of rectangle is:
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The area of the semicircle;
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*Note here that the radius is half the diameter, so it is 7cm, not 14cm
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Finally subtract the two areas;
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Step-by-step explanation:
Answer:
The length of the interval during which no messages arrive is 90 seconds long.
Step-by-step explanation:
Let <em>X</em> = number of messages arriving on a computer server in an hour.
The mean rate of the arrival of messages is, <em>λ</em> = 11/ hour.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 11.
The probability mass function of <em>X</em> is:

It is provided that in <em>t</em> hours the probability of receiving 0 messages is,
P (X = 0) = 0.76
Compute the value of <em>t</em> as follows:

Thus, the length of the interval during which no messages arrive is 90 seconds long.