Find the missing probability in the table below.

| x | 1 | 2 | 3 | 4 |
|

a. 0.85
b. 0.25
c. 0.15
d. 0.75

Option  C, 0.15

Step-by-step explanation:

From the given table probability for x = 1

= 0.30

for x = 2

= 0.40

for x = 3

= 0.15

and for x = 4

= x

As we know that the sum of probabilities of alll events will be 1.

so  + + + = 1

0.30 + 0.40 + 0.15 + x = 1 ⇒ 0.85 + x = 1

x = 1 - 0.85 = 0.15

Option  C, 0.15 is the answer.

4.0 ft

step-by-step explanation:

4.0 ft

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)