Imagine that James has been bowling for over 10 years and never gets any better or any worse. The probability that he will bowl a strike on any attempt of rolling a bowling ball stays at a constant 55%. During a particular bowling game, what is the probability that James will not bowl a strike until his fourth attempt?

5.01%

Step-by-step explanation:

In order to calculate a sequence of events you need to multiply the probability of each event happening with one another in decimal form. In this scenario, the probability of James bowling a strike is 55% meaning that the probability of James NOT bowling a strike is 45%. We want to know the probability of James NOT bowling a strike for 3 attempts and then bowling a strike on his fourth attempt. We first turn these probabilities into decimal form by dividing them by 100. And then multiply...

55 / 100 = 0.55

45 / 100 = 0.45

0.45 * 0.45 * 0.45 * 0.55 = 0.05011875

Multiply by 100 to get percentage.

0.05011875 * 100 = 5.01%

yes

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.