Answer: C & D
<u>Step-by-step explanation:</u>
A binomial experiment must satisfy ALL four of the following:
- A fixed number of trials
- Each trial is independent of the others
- There are only two outcomes (Success & Fail)
- The probability of each outcome remains constant from trial to trial.
A) When the spinner is spun three times, X is the sum of the numbers the spinner lands on.
→ #3 is not satisfied <em>(#4 is also not satisfied)</em>
B) When the spinner is spun multiple times ...
→ #1 is not satisfied
C) When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.
→ Satisfies ALL FOUR
- A fixed number of trials = 4
- Each trial is independent of the others = each spin is separate
- There are only two outcomes = Not Odd & Odd
- The probability of each outcome remains constant from trial to trial = P(X = not odd) = 0.50 for each spin
D) When the spinner is spun five times, X is the number of times the spinner lands on 1.
→ Satisfies ALL FOUR
- A fixed number of trials = 5
- Each trial is independent of the others = each spin is separate
- There are only two outcomes = 1 & Not 1
- The probability of each outcome remains constant from trial to trial = P(X = 1) = 0.17 for each spin
Question that needs to be solved:You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?=> 4 gallons is to 30 plants.=> 4 gallons / 30 plants = 0.13 gallons per plants.Now, it needs to water around 45 plants, let us solve how much will it need => 0.13 gallons * 45 plants = 6 gallons<span>Thus, to water 45 plants you need to have 6 gallons of water</span>
<u>Answer:</u>
- The simplified expression is "7p/4 + 2 1/2" or "1.75p + 2.5".
<u>Step-by-step explanation:</u>
- 2p + 3/4p + 6 - p - 3 1/2
- => (2p - p + 3/4p) + (6 - 3.5)
- => 1.75p + 2.5
Hence, the simplified expression is "<u>7p/4 + 2 1/2</u>" or "<u>1.75p + 2.5</u>". Any of these would work.
Hoped this helped.
