True or False?
The statement is True. According to the Central Limit Theorem, in a sufficiently large random sample, the distribution of a random variable X, with mean μ and standard deviation σ, is a normal distribution with mean μ and standard deviation σ/sqrt(n).
1. The Central Limit Theorem states that the distribution of the sample means of a large sample size will approach a normal distribution, regardless of the original distribution of the population from which the sample is drawn.
2. For a sufficiently large sample size, the mean of the sample means will approach the population mean (μ) and the standard deviation of the sample means will approach the population standard deviation divided by the square root of the sample size (σ/sqrt(n)).
3. Therefore, in a sufficiently large random sample, the distribution of a random variable X, with mean μ and standard deviation σ, is a normal distribution with mean μ and standard deviation σ/sqrt(n).
This is the case because the Central Limit Theorem states that the distribution of sample means is approximately normal, regardless of the original distribution of the population from which the sample is drawn.
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Answer:
45 * 100 / 330 = amount in 100 ml of solution
13.6363636364 grams
Step-by-step explanation:
7/12 and 3/2
Answer:
12
Step-by-step explanation:
Rewriting input as fractions if necessary:
7/12, 3/2
For the denominators (12, 2) the least common multiple (LCM) is 12.
LCM(12, 2)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
7/12 = 7/12 × 1/1 = 7/12
3/2 = 3/2 × 6/6 = 18/12
Answer:
Step-by-step explanation:
salary per year=1200×12=14400
let the sale be $ x
14400+38 % of x=35,000
38 % of x=35,000-14,400=20,600
x=20,600 \times \frac{100}{38}=$ 54210.53
To earn $35,000 per year, the sales rep must generate approximately 54,210 sales.
To find out how many sales the wholesale food sales rep must generate in order to earn $35,000 per year in total compensation, we need to set up an equation based on the given information. Let's assume the sales generated by the rep are 'x'. The total compensation can be calculated as:
Total Compensation = Base Salary + Commission
$35,000 = $1200/month + 0.38x
Now, we can solve this equation to find 'x', the number of sales needed. First, let's convert the monthly base salary to yearly:
$1200/month * 12 months = $14,400/year
Substituting this value into the equation:
$35,000 = $14,400 + 0.38x
Now, we can isolate 'x' by subtracting $14,400 from both sides of the equation:
$20,600 = 0.38x
Finally, divide both sides of the equation by 0.38:
x = $20,600 / 0.38 = 54,210
Therefore, the wholesale food sales rep must generate approximately 54,210 sales in order to earn $35,000 per year in total compensation.
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