What is the area of the shaded figure

42 square units

Step-by-step explanation:

imagine the rectangle around the original shape, it would be LxW which wold be 9 x 6 = 54. Then if you find the area of the two triangles cut out of the left and right sides, each triangle area is 1/2 base x height, which is 1/2(6x2)=1/2(12)=6 and x2 for 2 triangles and that = 12.

Now subtract 54-12=42 sq. units shaded.

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2