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2 years ago

PM is the perpendicular bisector of AB. Angle PAM measures 37. What is the measure of angle PBM?

Mathematics

1 answer:

elixir [45]2 years ago

3 0

Answer:

Step-by-step explanation:

37°, because ∆PMA and ∆PMB are similar in SAS.

I hope I helped you.

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Han can run 100 meters in 20 seconds how long will it take him to run 3000 metres

Juliette [100K]

Answer:

600 seconds

Step-by-step explanation:

In this case we have to calculate the speed;

Speed = Distance/Time

Speed = 100/20 = 5 mph

Next to get our answer we have to calculate the amount of time

Time = Distance/Speed

Time = 3000/5 = 600 seconds

4 0

3 years ago

A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is

koban [17]

The expected length of code for one encoded symbol is

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha$

where $p_\alpha$ is the probability of picking the letter $\alpha$ , and $\ell_\alpha$ is the length of code needed to encode $\alpha$ . $p_\alpha$ is given to us, and we have

$\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}$

so that we expect a contribution of

$\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375$

bits to the code per encoded letter. For a string of length $n$ , we would then expect $E[L]=1.375n$ .

By definition of variance, we have

$\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2$

For a string consisting of one letter, we have

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4$

so that the variance for the length such a string is

$\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859$

"squared" bits per encoded letter. For a string of length $n$ , we would get $\mathrm{Var}[L]=1.859n$ .

5 0

2 years ago

What is half of pi/3?

Alborosie

Half of pi/3 means 1/2 times pi/3=pi/6

5 0

2 years ago

Find the height of a rectangular prism with a 3 in by 4 in base and a volume of 20 cubic inches

Crank

Answer:

1 2/3 inches.

Step-by-step explanation:

Volume = area of the base * height so:

20 = 3*4 * h

h = 20/12

h = 1 2/3 inches.

5 0

2 years ago

Enter the correct value so that each expression is a perfect-square trinomial.<br><br> x2 – 10x +

Marrrta [24]

Use the formula ( $\frac{b}{2}$ )^2

in order to create a new term to complete the square.

(x−5)2−25

6 0

3 years ago