Answer: true
Step-by-step explanation:
Z-tests are statistical calculations that can be used to compare the population mean to a sample mean The z-score is used to tellsbhow far in standard deviations a data point is from the mean of the data set. z-test compares a sample to a defined population and is typically used for dealing with problems relating to large samples (n > 30). Z-tests can also be used to test a hypothesis. Z-test is most useful when the standard deviation is known.
Like z-tests, t-tests are used to test a hypothesis, but a t-test asks whether a difference between the means of two groups is not likely to have occurred because of random chance. Usually, t-tests are used when dealing with problems with a small sample size (n < 30).
Both tests (z-tests and t-tests) are used in data with normal distribution (a sample data or population data that is evenly distributed around the mean).
Answer:
x=10 n=18.5 s=6
Step-by-step explanation:
4x-10=30
Add 10 to both sides
4x-10+10=30+10
4x=40
Divide by 4 on both sides
(4x)/4=40/4
x=10
2n-7=30
Add 7 to both sides
2n-7+7=30+7
2n=37
Divide by 2 on both sides
(2n)/2=37/2
n=18.5
(s/3)+2=4
Subtract 2 from both sides
(s/3)+2-2=4-2
(s/3)=2
Multiply by 3 on both sides
3s/3=2*3
s=6
Your using the distributive property in your example, hope that helps.
Answer:
Correct answer: Db = 411 .18 ft
Step-by-step explanation:
Given:
α = 27° angle of depression
Dt = 462 ft distance from the top of lighthouse to the boat
Db = ? distance from the base of the lighthouse to the boat
Here we have a right triangle with hypotenuse Dt and one leg Db.
By definition
cos α = Db / Dt ⇒ Db = Dt · cos α
Db = 462 · cos 27° = 462 · 0.89 = 411 .18 ft
Db = 411 .18 ft
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