Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is 
The standard deviation is 
From the question we are told the confidence level is 94% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [\frac{1.881 } * 22 }{5} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B1.881%20%7D%20%2A%20%2022%20%7D%7B5%7D%20%5D%20%5E2)
=>
Answer:
Rate of change = 9
Step-by-step explanation:
m= (y2 - y1) / (x2 - x1)
= (25 - 7) / (4 - 2)
= 18 / 2
= 9
Answer: To find the inverse of the function, we need to make x as a function of y and at the final step make a switch between x and y (i.e. make x as y and y as x)
y = x² + 4x + 4 ⇒⇒⇒ factor the quadratic equation
y = (x+2)(x+2)
y = (x+2)² ⇒⇒⇒ take the square root to both sides
√y = x+2
x = √y - 2 ⇒⇒⇒ x becomes a function of y
final step:
∴ y = √x - 2 ⇒⇒⇒ the inverse of the given function
So, as a conclusion:
f(x) = y = x² + 4x + 4 ⇒⇒⇒ the given function
f⁻¹(x) = y = √x - 2 ⇒⇒⇒ the inverse of the given function
Answer:
35 - 2.4(7-5)
= (35/1)-(24/10)(7-5)
= [(35×10)/(1×10)]-(24/10)(2)
= (350/10)-(24/10)(2)
= (350-24)/10(2)
= 326/10(2)
= 32.6(2)
= 65.2
Thank you.
BY GERALD GREAT.
