#4
White block(s) = 2
Red block(s) = 1
Purple block(s) = 3
Total = 2 +1 + 3 = 6 blocks
a) P(white) =

P(red) =

P(purple) =

b)Not white block:
1 -

OR

Because, when they say no white blocks, we simply do not count them and add the rest to find that probability without white blocks.
c) The probability stays the same: lets say now we have
4 white blocks, 2 red, and 6 purple, total will be 12
P(white)=

which is still

d) We get two more blocks in the numerator: lets say we have 4 white blocks, 3 red, 5 purple (after adding 2 of each color), total will be 12
P(purple)=

(im not quite sure if my explanation here helps you though)
e) 1 more of white and purple, 5 more of red
white = 3, purple = 4, red = 6, total = 12
(you can either add 2 to white or purple but make sure you add 5 of red)
P(red)=

=
-x/4-6>-8
Multiply both sides by 4
-x-24>-32
Move the constant to the right
-x>-32+24
-x>-8
Change the signs
x<8
Answer:
(B) 26°
Step-by-step explanation:
The angle at A made by the radius and the tangent is 90°. The angle at O is the same as arc AB, 64°. The acute angles in a right triangle are complementary, so the angle at C is the complement of 64°.
∠ACB = 90° -64°
∠ACB = 26°
An even number is a number that is divisible by 2.
This means that dividing this number by 2 yields no remainder (the remainder is zero).
The even numbers between 7 and 16 are:
8 as 8/2 = 4 and remainder is zero
10 as 10/2 = 5 and remainder is zero
12 as 12/2 = 6 and remainder is zero
14 as 14/2 = 7 and remainder is zero
Answer:
Step-by-step explanation:
(x - 2)(x² + 7x + 4) = x(x² + 7x + 4) - 2*(x² + 7x + 4)
= x*x² + x*7x + 4*x - 2*x² -2* 7x -2* 4
= x³ + 7x² + 4x - 2x² -14x -8
= x³ + <u>7x² - 2x²</u> <u>+ 4x - 14x</u> - 8
= x³ + 5x² - 10x - 8