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:
The CONVERSE of p → q is q → p will be written as
i.e If 3x -4 = 20, then 2x = 16.
Step-by-step explanation:
Given:
p: 2x = 16
(one statement)
q: 3x – 4 = 20
(another statement)
The given statement is p → q can be written as
i.e IF 2x = 16, then 3x – 4 = 20
The CONVERSE of p → q is q → p will be written as
i.e If 3x -4 = 20, then 2x = 16.
Answer:
1,082
Step-by-step explanation:
The sample size n in Simple Random Sampling is given by
where
z = 1.645 is the critical value for a 90% confidence level (*)
s = 2 is the estimated population standard deviation
e = 0.1 mm points is the margin of error
so
rounded up to the nearest integer.
So the manufacturer should test 1,083 parts.
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(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1
It can be obtained in Excel with
NORMINV(1-0.05,0,1)
and in OpenOffice Calc with
NORMINV(1-0.05;0;1)
Answer:
y = -1/8 x² + 5
Step-by-step explanation:
Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)
basic formula: y = a(x - h)² + k
y = a (x-0)² + 5
y = ax² + 5 pass (4,3)
3 = 16a + 5
a = (3-5)/16 = -1/8
equation: y = -1/8 x² + 5
check: pass another point (-4,3)
-1/8 * (-4)² + 5 = -2 + 5 = 3
