Find the Area of this shape

42.5

Step-by-step explanation:

see attached image.

42.5

Step-by-step explanation:

So first we have to split this shape into many parts

The simplest way we can do that is by simply drawing a line between the small square and the big rectangle.

Now we calculate the area of each part.

1. Big rectangle

--> So we would just simply multiply the length and width for this one which is 3.5 by 9 --> 3.5 x 9 = 31.5

2. (Left) Right Triangle

Since it's a right triangle we can simply multiply it's L and W then divide by 2

--> 2 x 2 = 4 --> 4/2 = 2

3. (Right) Right Triangle

Same way as previous right triangle l x w / 2

--> 2 x 5 = 10 --> 10/2 = 5

4. Square (Bottom)

And lastly, we have the small square at the bottom

--> l x w = area.

-->given 9 = 2 + x + 5,

x = 9 - 7 --> x = 2

so, 2 x 2 = area --> . 4

Calculate the actual area. of the whole entire shape -->

So this is very simple we just add the area of the shapes (area) we calculated below.

--> 31.5 + 2 + 5 + 4

--> Add parenthasees 31.5 + (2 + 5 + 4)

[To make calculating simpler]

=> 11 + 31.5

=> 32.5 + 10

=> 42.5

Hope this helps!

lolololkzaxio2ier286udeg

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560