If point D is placed on AC, how will the measure of

Kyoko is reading a book by her favorite author. She read the first 20 pages in 1/2 of an hour. Reading at the same pace, Kyoko w

yarga [219]

<span>It will take her 3 hours to read 120 pages.</span>

7 0

3 years ago

I need help I have been stuck on it FOREVER!!!

ira [324]

Answer:

22.

Step 1: Find area of inner square = 4 ft × 12 ft = 48ft2

Step 2: Find area of outer shape =

25 ft +11 ft = 36 cm2

Step 3: Area of shaded region = area of outer shape – area of inner square

= 36 ft2 – 48 ft2

= 12 ft2

8 0

2 years ago

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Assume that the number of messages input to a communication channel in an Exponential distribution with 7 messages arriving in a

NARA [144]

The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

According to the statement

we have given that the an Exponential distribution with 7 messages arriving in a 10 second period and we have to find the probability that more than 3 messages will arrive during a 30-second interval.

So, For this purpose, we know that the

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

And the given information is that :

3 messages will arrive during a 30-second interval.

Then

Probability = P(X=1) + P(X=2) + P(X=3).Then

The probability become according to the exponential distribution:

$P(X=1)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\\P(X=2)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\\P(X=3)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

And then substitute the values in it then

$Probability = \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^1}{1!}\ +\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^2}{2!}\ + \dfrac{e^{-0.3 \times 20} (0.3 \times 20)^3}{3!}\\$

This is the probability.

So, The probability that more than 3 messages will arrive during a 30-second interval is $P(X=n)=\dfrac{e^{-0.3 \times 20} (0.3 \times 20)^n}{n!}$ .

Learn more about probability here

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7 0

1 year ago

What is the sum of 10/12and 11/12? Make sure to show all work to receive full credit!

sergiy2304 [10]

Answer:

$1\frac{3}{4}$

Step-by-step explanation:

$\frac{10}{12} +\frac{11}{12} \\\\\frac{21}{12} \\\\1\frac{9}{12} \\\\1\frac{3}{4}$

7 0

3 years ago

*PLEASE ANSWER* What is the perimeter of the triangle below?

brilliants [131]

Answer:

16.7 Units

Step-by-step explanation:

To find the length of r, you set up the equation as sin(45)= 4.9/r. Then you get r by itself changing it to r = 4.9/sin(45). Then you can find that r = 6.9. Since this is an isosceles triangle, n^1 has to be equal to 4.9. Then you add all the side lengths together. 4.9 + 4.9 + 6.9 = 16.7 units

6 0

3 years ago

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