A card is selected at random from a standard deck of 52 playing cards. What is the probability that it is NOT a face card?
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Answer:
As , it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.
Step-by-step explanation:
1. Relevant data:
2. Hypotesis testing
3. Find the rejection area
From the one tail standard normal chart, whe have Z-value for is 1.56
Then rejection area is left 1.56 in normal curve.
4. Find the test statistic:
5. Hypotesis Testing
As , it is possible to reject null hypotesis. It means that the local mean height is less tha 0.7 m with a 5% level of significance.
pH = f(x) = -log₁₀x
1. Graphs
I used Excel to calculate the pH values and draw the graphs (see the Figure).
f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.
The points at which pH = 0 and pH = 1 are indicated by the large red dots.
2. x = 0.5
When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.
3. Transformations
(a) ƒ(x) = -log(x) + 1
This function has no y-intercept, because log(0) is undefined.
(b) ƒ(x +1) = -log(x + 1)
f(0) = -log(0 + 1) = -log(1) = 0
This function has a y-intercept at (0,0).
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