Answer:
6
Step-by-step explanation:
first, we need to find the GCF (Greatest Common Factor) which is the highest number that can go into every number in the equation (In this case, those numbers are 24 and 30)
The GCF for this would be 6, meaning that there would be 6 bags with and equal amount of granola bars and protein bars.
To be more specific, every bag would have 4 granola bars and 5 protein bars.
Answer: 8 hours
Step-by-step explanation:
Let x be the time taken by each person to paint the fence.
Given: Tom and Becky can paint Jim's fence together in 12 hours.
Since all people paint at the same rate, then we have the following equation ;-

Thus, the time taken by each person to paint the fence alone = 24 hours
Now, the time taken by all three paint together:-

Hence, it would take 8 hours if all three paint together.
Answer:
- It's not possible to earn an A in the course
- I must have a 73 or MORE to earn a B in the course
Step-by-step explanation:
The average obtained at the end of the course will be:

Where x is the grade obtained in the final examination and av is the final average. To obtain an A, av has to be at least 90, av≥90, and to obtain an B, av has to be at least 80, av≥80
- Is an A in the course possible?
So, if we get 100 on the final average:
x = 100,
av = (85+78+84+100)/4 = 86,75 and 86,75∠90.
<em>Answer: No, the higher grade obtained would be 86,75.</em>
- What grade you must have in the final to earn a B in the course
To earn a B, av≥80:

<em>Answer: I must have a 73 or MORE to earn a B in the course</em>
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Answer:
The answer to the question is;
The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.
Step-by-step explanation:
The mean of the distribution = 0.9 mg
The standard deviation of the sample = 0.1 mg
The size of the sample = 100
The mean of he sample = 0.89
The z score for sample mean is given by
where
X = Mean of the sample
μ = Mean of the population
σ = Standard deviation of the population
Therefore Z =
= -1
From the standard probabilities table we have the probability for a z value of -1.0 = 0.1587
Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.