First positive number (x) = x
Second positive number (y) = x+3
Product: 180 = x · y
180 = x · (x + 3)
180 = x² + 3x
0 = x² + 3x - 180
0 = (x + 15)(x - 12)
0 = x + 15, 0 = x - 12
x = -15, x = 12
x = -15 is NOT a positive number so it can be disregarded.
Answer: 12
Answer:
x = 5/4
Step-by-step explanation:
The proportion is 
and can be solved by multiplying the numerator and denominator of each fraction.
4(x) = 5(1)
4x = 5
x = 5/4
Answer: -3
Step-by-step explanation:
-9c - 6 = 3 + 6(c + 8)
-9c - 6 = 6c + 51
-15c = 57
-c = 
C = -3
Using the conditions for the binomial distribution, it is found that it is a binomial variable, thus, the correct option is:
Yes. All four conditions are met.
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For a variable to be classified as binomial, four conditions have to be met.
- For each trial, there can be only two possible outcomes.
- There is a fixed number of trials.
- Trials are independent.
- In each trial, the probability of a success and a failure has to be the same.
In this problem, the random variable is the number of spelling errors, which is a binomial variable, as:
- There are 250 words, thus the number of trials is fixed.
- For each word, either there is a spelling error or not, thus two possible outcomes.
- The probability of a word being misspelled is independent of any other word, that is, the probability of an spelling error is the same.
Thus, the correct option is:
Yes. All four conditions are met.
A similar problem is given at brainly.com/question/21772486
