Answer:
-8 I think on a graph right
Let's attack this problem using the z-score concept. The sample std. dev. here is (0.25 oz)/sqrt(40), or 0.040. Thus, the z score representing 3.9 oz. is
3.9 - 4.0
z = -------------- = -2.5
0.040
In one way or another we must find the area under the std. normal curve that lies to the left of z = -2.5. Use a table of z-scores or a calculator with built-in statistics functions. According to my TI-83 Plus calculator, that area is
0.006. One way of interpreting this that with so small a standard deviation, most volumes of coffee put into the jars are very close to the mean, 4 oz.
The height of the kite will be 53.32 feet above the ground.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given that:-
- The boy is flying a kite, holding his hands a distance of 3.5 feet above the ground and
- letting all the kite's strings play out. He measures the angle of elevation from his hand to the kite to be 29°. If the string from the kite to his hand is 110 feet long, what is the total vertical height?
The height of the kite above the ground will be calculated as:-
H = Sin(29) x 110
H = 53.32 feet
The hand of the boy is 3.5 above the ground so the total height H(t) of the kite above the ground will be:-
H(t) = 53.232 + 3.5
H(t) = 56.28 feet.
Therefore the height of the kite will be 53.32 feet above the ground.
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The results for the matching between function and its period are:
- Option 1 - Letter D
- Option 2 - Letter A
- Option 3 - Letter C
- Option 4 - Letter B
<h3>What is a Period of a Function?</h3>
If a given function presents repetitions, you can define the period as the smallest part of this repetition. As an example of periodic functions, you have: sin(x) and cos(x).
The period of sin(x) and cos(x) is 2π.
For solving this question, you should analyze each option to find its period.
1) Option 1
Thus, the option 1 matches with the letter D.
2) Option 2
Thus, the option 2 matches with the letter A.
3) Option 3
Thus, the option 3 matches with the letter C.
4) Option 4
Thus, the option 4 matches with the letter B.
Read more about the period of a trigonometric function here:
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