Answer:
We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 60
Sample mean, 
= 19.5
Sample size, n = 60
Alpha, α = 0.05
Population standard deviation, σ = 1.8
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.
Answer:
The value of your expression is 7/12x +1.
Step-by-step explanation:
1/4x + 3 - 1/3x + -2 First, positive and negative is negative
= 1/4x + 3 - 1/3x -2 Combine like terms, 1/4x and 1/3x
= 7/12x + 3 - 2 Combine like terms, +3 and -2
= 7/12x +1
Like terms are when a number have similar exponents bases, variables or just plain numbers.
3x, 4x, 5x
1.02x^2, 1.02x^3
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Step-by-step explanation:
To find out how much she spent:
30 - 27.15 = 2.85
Change it to cents:
2.85 x 100 = 285 cents
Calculate how many yards of ribbon she bought:
285 / 19 = 15
Therefore, she bought 15 yard of ribbon.
