Answer: You need to show the question for me to answer it. In other words, provide more context
Step-by-step explanation:
Answer:
x^2\ 16 - y^2/9 = 1
step-by-step explanation:
soooo the equation for a hyperbola that is horizontal is x^2/a^2 - y^2/b^2 = 1
a hyperbola should always equal one so dont forget that when writing your equation becuase it is easy to forget.
it helps to graph this so you can see it better
to find a it is the distance from the center to the vertices which is 4 so in the equation you will write 16 becuase it is a^2
then you need to find b. to get b you have to figure out that c is the distance from the center to the foci which is 5 and it is all related to the plythagorm theorum becuase it forms a right triangle. so you do c^2 - a^2 = b^2
you get 9 for b^2 because 25-16=9 and so you put that in the equation
Answer: c. 39.14 to 42.36
Step-by-step explanation:
We want to determine a 95% confidence interval for the average hourly wage (in $) of all information system managers
Number of sample, n = 75
Mean, u = $40.75
Standard deviation, s = $7.00
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
40.75 +/- 1.96 × 7/√75
= 40.75 ± 1.96 × 0.82
= 40.75 + 1.6072
The lower end of the confidence interval is 40.75 - 1.6072 =39.14
The upper end of the confidence interval is 40.75 + 1.6072 =42.36
