Answer:
We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 31.7 milligrams
Sample mean,
= 28.5 milligrams
Sample size, n = 9
Alpha, α = 0.05
Sample standard deviation, s = 2.8 milligrams
First, we design the null and the alternate hypothesis

We use One-tailed t test to perform this hypothesis.
Formula:

Putting all the values, we have

Now,
Since,
We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Answer:
40
Step-by-step explanation:
6% of number = 6/100 × x = 6x/100 = 3x/50
Sum of the number and 6% of itself = 42.4
x + (3x/50) = 42.4
(50x+3x)/50 = 42.4
53x = 42.4 × 50
53x = 2120
x = 2120/53
x = 40
Answer:
7. quadrilateral, 8. square, 9. rectangle, 10. rhombus or parallelogram 11. square, 12. square, 13. rhombus or parallelogram, 14. parallelogram or rhombus
Answer:
x = -4 y =-4
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
16:36 = 32:72 = 12:27
Step-by-step explanation:
An easy way for me to solve this is to divide the first value by the second. If they turn out to be the same fraction, then they are equivalent.
Is 16:36 = 32:72?
Yes, because 
Is 16:36 = 12:27?
Yes, because 
Is 16:36 = 3:4?
No because 
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