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Answer: x = 41.4°
Step-by-step explanation:
We want to solve:
Cos(x) = 3/4
Such that this is on quadrant 1.
(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)
To solve this we need to remember the inverse functions.
If we have two functions f(x) and g(x), these functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then the inverse of the cosine function (this function is "arcos(x)") is such that:
Arcos( cos(x) ) = x
Then in our equation:
Cos(x) = 3/4
We can apply the inverse function to both sides to get:
Arcos(Cos(x)) = Arcos(3/4)
x = Arcos(3/4)
(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)
x = Arcos(3/4) = 41.4°
***4 1/2
<span>2 + 9/4
1 + 13/4
3 + 5/4
(2 1/2) + (1 3/4) or 5/2 + 7/4
<span>
(1 1/8) + (3 1/8) or 9/8 + 25/8
</span></span>
***1 5/6
<span>(1 1/6) + (2/3) or 7/6 + 2/3
(1 1/3) + (1/2) or 4/3 + 1/2
(1 1/2) + (1/3) or 3/2 + 1/3
<span>
(1 2/3) + (1/6) or 5/3 + 1/6
I hope my answer has come to your help. God bless and have a nice day ahead!
</span></span>
Answer:
A) The probability is 0.95 that the percent of adults living in the United States who are satisfied with their health care plans is between 63.6% and 68.4%.
Step-by-step explanation:
A polling agency reported that 66 percent of adults living in the United States were satisfied with their health care plans. The estimate was taken from a random sample of 1,542 adults living in the United States, and the 95 percent confidence interval for the population proportion was calculated as (0.636, 0.684).
This means that we are 95% sure that the true proportion of adults living in the United States who were satisfied with their health care plans is between 0.636 and 0.684.
So the correct answer is:
A) The probability is 0.95 that the percent of adults living in the United States who are satisfied with their health care plans is between 63.6% and 68.4%.
When you round to the nearest hundredth, you round to two numbers after the decimal place
So the answer is 80.16
The 5 becomes a 6 because the number after it (9) is larger than 5
Hope this helps
