Answer:
The answer to your question is
sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682
Step-by-step explanation:
tan Ф = 1.072, 0 < Ф < 2 π, tan Ф is positive, find the solution in the first and third quadrangle.
- tan Ф = opposite side / adjacent side
- 1.072 / 1 = opposite side / adjacent side
- opposite side = 1.072 and adjacent side = 1
Calculate hypotenuse
c² = a² + b²
c² = 1.072² + 1²
c² = 2.149
hypotenuse = c = 1.466
First quadrangle
sin Ф = 1.072 / 1.466 = 0.731
cos Ф = 1 / 1.466 = 0.682
Third quadrangle
sin Ф = -1.072 / 1.466 = -0.731
cos Ф = -1 / 1.466 = -0.682
The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.
Given That,
In a survey conducted by a retail store, 58% of the sample respondents said they prefer to shop at places with loyalty cards. if the margin of error is 3.4%.
<h3>What is population proportion?</h3>
A population proportion is defined as the percentage of a population that belongs to a individual category. Certainty gaps are used to evaluate population proportions.
Here, the margin of error is 3.4%.
expected population proportion = 58% ± 3.4%
expected population proportion interval = (58% - 3.4%, 58% + 3.4%)
expected population proportion interval = (54.6%, 61.4%).
Thus, The required expected population proportion that prefers to shop at places with loyalty cards is between 54.6% and 61.4%.
Learn more about population proportion here.
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480 goes into 1680 3 times 144 left bring down your 0. 480 goes into 2400 5 times. your answer is 35 cans of paint
Answer:
-1/y
Step-by-step explanation:
This quotient is the result when you divide y into -1: -1/y
Answer:
He should word his statement as "Free replacement for tires that wear before 30875 miles."
Step-by-step explanation:
If he is willing to replace 10% of tires he should find the life of tires that gives an area of 10% in the normal distribution graph.
Now for 10% of area standard normal deviate Z can be obtained from normal distribution table
Using normal distribution table for 10% area we have Z = -1.28
Thus we have 
Applying given values we get
