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ki77a [65]
3 years ago
9

Solve 5x + 7 ≥ 2 (just putting this here since the question is too short)

Mathematics
2 answers:
Alja [10]3 years ago
6 0
5x + 7  <span>≥  2 
      - 7     -7
5x </span><span>≥ -5
/5     /5
"x </span><span>≥ -1" is your final answer </span>
ser-zykov [4K]3 years ago
3 0
1. 5x + 7  \geq  2
2. 5x  \geq -5
3. x  \geq -1

1. Start
2. Subtract 7 from both sides
3. Divide both sides by 5
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Haley works at a candy store. There are 10 types of bulk candy. Find the probability that one type of candy will be chosen more
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Answer:

Probability that one type of candy will be chosen more than once in 10 trials = 0.2639

Step-by-step explanation:

This is a binomial experiment because

- A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.

- It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (10 trials, with the outcome of each trial being that we get the required candy or not)

- The outcome of each trial/run of a binomial experiment is independent of one another.

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 10 trials

x = Number of successes required = number of times we want to pick a particular brand of candy = more than once, that is > 1

p = probability of success = probability of picking a particular brand of candy from a bulk with 10 different types of candies = (1/10) = 0.10

q = probability of failure = Probability of not picking our wanted candy = 1 - p = 1 - 0.1 = 0.90

P(X > 1) = 1 - P(X ≤ 1)

P(X ≤ 1) = P(X = 0) + P(X = 1)

P(X = 0) = ¹⁰C₀ (0.10)⁰ (0.90)¹⁰⁻⁰ = 0.3486784401

P(X = 1) = ¹⁰C₁ (0.10)¹ (0.90)¹⁰⁻¹ = 0.387420489

P(X ≤ 1) = 0.3486784401 + 0.387420489 = 0.7360989291

P(X > 1) = 1 - 0.7360989291 = 0.2639010709 = 0.2639

Hope this Helps!!!

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