Answer:
4
Step-by-step explanation:
Calculator
Answer: 95% confidence interval would be (0.555,0.745).
Step-by-step explanation:
Since we have given that
n = 97
x = 63
So, we get that
At 95% confidence interval , z = 1.96
so, Margin of error would be
So, interval would be
Hence, 95% confidence interval would be (0.555,0.745).
Answer:
6.7
Step-by-step explanation:
cos(48) = adjacent/hypotenuse
cos(48) = x/10
x = 10cos(48)
x = 6.691306064
Answer:
(A) 2/3 [√(4-4x)]^3
(B) 2/3 [√(4-x)]^3
Step-by-step explanation:
Integrating the functions,
(A) Any function in square root is equal to or same as the function raised to the power of 1/2
To integrate, add 1 to the power of the function. That's 1/2 + 1 = 3/2
Divide the function by this new power 3/2. This implies multiplying the function by the inverse of 3/2. The inverse of 3/2 is 2/3.
Also, when a function is raised to the power of a fraction instead of a whole number, you take the 'denominator' root of the function, and then raise the function to the power of the numerator.
Here, the denominator is 2, so you take the square root of the function, and raise the function to the power of 3
So the integral of Y = √[4-4x] is
2/3 [√(4-4x)]^3
(B) In like manner, the integral of
Y = √[4-x] is
2/3 [(√4-x)]^3
Since difference is subtraction, that means that y-2=9 and by adding 2 to both sides we get y=11