Answer:
160 sq cm
Step-by-step explanation:
Since the two trapezoids are similar, you can use a ratio to find the area.
If we use x to represent the area of ABCD, then the ratio will look something like:
5/20 = 40/x
which then we can solve x to be 160 sq cm.
Answer: 6
Step-by-step explanation:

Given:
Principal = $3,500
Rate of interest = 7% compounded quarterly (4 times in an year)
Time = 6 years
To find:
The amount.
Solution:
The formula for the amount is

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.
Putting P=3500, r=0.07, n=4 and t=6 in the above formula, we get





Therefore, the amount after 6 years is $5307.55.
Responder:
1,625; 0.8569
Explicación paso a paso:
y ___0 ____ 1 ____ 2 ____3
P (y) _1 / 8 ___ ¼ ___ ½ ____ 1/8
Valor esperado (E (x)): Σx * p (x)
= (0 * (1/8)) + (1 * (1/4)) + (2 * (1/2)) + (3 * (1/8)) = 1,625
La desviación estándar = sqrt (Var (x))
Var (X) = Σx²p (x) * E (x) ²
Var (X) = [(0 ^ 2 * (1/8)) + (1 ^ 2 * (1/4)) + (2 ^ 2 * (1/2)) + (3 ^ 2 * (1 / 8))] - 1.625²
Var (X) = (0 * (1/8)) + (1 * (1/4)) + (4 * (1/2)) + (9 * (1/8)) - 1.625 ^ 2
= 3.375 - 2.640625
= 0,734375
Desviación estándar = Sqrt (0,734375) = 0,8569