mrs. ramiriz is making pies to sell at the local farmer’s market. it costs her $5 to make each pie, plus a one-time cost of $30
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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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Answer:
a) The 90% confidence interval is
b) The margin of error is 0.063.
Step-by-step explanation:
We have to construct a 90% confidence interval for the proportion of students enrolled in college or a trade school within 12 months of graduating from high school in 2013.
We have a sample of 160 students, and a proportion of:
The standard deviation is:
As the sample size is big enough, we use the z-value as statistic. For a 90% CI, the z-value is z=1.645.
Then, the margin of error is:
Then, the 90% confidence interval is: