Answer:
a) The number of possible codes is 16384
b) The probability of entering the code on the firs ttry is 1/16384
Step-by-step explanation:
a) For each of the four digits we have 7 possibilities and the number of one digit doesnt make restrictions on the others, thus, we have to power 4 a total of 7 times. The number of codes available is 4⁷ = 16384
b) There is only 1 code favourable over a total of 16384, as a consequence, the probability of enter the code correctly is 1/16384
Answer:
Solve for x
Multiply in cross
distributive property right side
subtract 3x both sides
Adds 28 both sides
Divide by 4 both sides and rewrite
Step-by-step explanation:
Answer:
225/2 sq units or 112.5 sq units
Step-by-step explanation:
The length of the parallelogram is 9, so the length of the rectangle is 9, and the base of the triangle is 9.
The dimensions of the triangle are b = 9, h = 7
The dimensions of the rectangle are l = 9, w = 3
The height if the triangle is 7, the width of the rectangle is 3, (10 total) so the height of the parallelogram is 6
The area of the triangle is
A = (1/2)bh
A = (1/2)(9)(7)
A = 63/2
The area of the rectangle is
A = lw
A = (9)(3)
A = 27
The area of the parallelogram is
A = bh
A = (9)(6)
A = 54
The sum of the areas of the 3 shapes is 63/2 + 27 + 54
63/2 + 81
63/2 + 162/2
225/2 or 112.5
Answer:
17x^2
Step-by-step explanation:
8x^2-(-9x^2)= 17x^2
+8x-8x