Answer:
For this case we know that the confidence level is 90% so then the significance level is 
and 
. And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:
And the best option would be:
1.645
Step-by-step explanation:
We assume that the parameter of interest is 
and we can assume that the distribution for this parameter is normally distributed so then the confidence interval assuming a two sided interval is given by:
Where 
represent the estimator for the parameter, SE the standard error and 
the critical value.
For this case we know that the confidence level is 90% so then the significance level is and . And we can find in the normal standard distribution a value who accumulates 0.5 of the area on each tail and we got:
And the best option would be:
1.645
Answer:
amount = 407 per month
Step-by-step explanation:
given data
future value = $5000
interest rate = 6% = 
= 0.015
time = 12 months = 4 compound per year
solution
we use here formula that is
amount = future value × 
.......................1
put here value and we get
amount = 5000 × 
amount = 1222 per quarter
or amount = 407 per month
Answer:
b= -2
Step-by-step explanation:
the value of b is = 10.
The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.
<h3>What is hyperbola?</h3>
The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.
<h3>What is the general formula for hyperbola?</h3>
The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1
<h3>According to the given information:</h3>
x²/24 - y²/(b)² = 1
(x - 0)²/24 - (y -0)²/(b)² = 1
a=24,h=0 and k=0
Now equation of the directrix
x=a²/c...(1)
and we know x=576/26...(2)
Therefore from 1 and 2 we get
24²/c=576/26.
isolate the c so we get,
C=26
C= center of focii
c = √(a² + b³)
c² = a² + b²
b = c² - a²
b = 10
So we get the value of b is 10.
Therefore the equation of a hyperbola is x²/24² - y²/ (10)² = 1.
To know more about Hyperbola visit:
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5/3 means (5 over 3 since I can't do fractions on this)
5/3-3/3=___
5-3=2 first you do the numerators
You keep the denominator the same since both denominators are 3
Then you put it together and get 2/3 and since 2/3 can't be reduced, 2/3 is the answer
