Answer: The standard form for the equation of an ellipse is:
(
x
−
h
)
2
a
2
+
(
y
−
k
)
2
b
2
=
1
The center is:
(
h
,
k
)
The vertices on the major axis are:
(
h
−
a
,
k
)
and
(
h
+
a
,
k
)
The vertices on the minor axis are:
(
h
,
k
−
b
)
and
(
h
,
k
+
b
)
The foci are:
(
h
−
√
a
2
−
b
2
,
k
)
and
(
h
+
√
a
2
−
b
2
,
k
)
To put the given equation in standard form, change the + 2 to - -2 and write the denominators as squares:
(
x
−
3
)
2
4
2
+
(
y
−
−
2
)
2
3
2
=
1
The center is:
(
3
,
−
2
)
The vertices on the major axis are:
(
−
1
,
−
2
)
and
(
7
,
−
2
)
The vertices on the minor axis are:
(
3
,
−
5
)
and
(
3
,
1
)
Evaluate:
√
a
2
−
b
2
=
√
4
2
−
3
2
=
√
16
−
9
=
√
5
The foci are:
(
3
−
√
5
,
−
2
)
and
(
3
+
√
5
,
−
2
)
42 ft 13in. that is the answer
Answer: 1766.3
Step-by-step explanation:
Answer:
The expected value for the number of inspections until a defective unit is found 17.
Step-by-step explanation:
Percentage of defective microchips = 6%
Let the total number of inspection = x
number of defective microchip = 1
As we know
1/x = 6%
1/x = 0.06
x = 1/ 0.06
x = 16.67 inspections
x = 17 ( rounded off to nearest whole number )
17 inspection is done until the defective microchip is found.
Lets look at the info we have:-
23 orders for Pepsi.
15 orders for mountain dew.
Question:-
How many more orders have there been for Pepsi than for Mountain Dew?
To answer this we will subtract the amount of Pepsi's ordered by the amount of Mountain Dew's ordered. The answer will be the amount of more Pepsi's ordered than the Mountain Dew's.
23 - 15 = 8
8 more Pepsi's were sold than Mountain Dew's.
CHECK OUR WORK:-
15 + 8 = 23
We were RIGHT!!!
So, 8 more Pepsi's were ordered than Mountain Dew's.
Hope I helped ya!1 xD