Step: Solve
2
x
+
y
=
3
for y:
2
x
+
y
=
3
2
x
+
y
+
−
2
x
=
3
+
−
2
x
(Add -2x to both sides)
y
=
−
2
x
+
3
Step: Substitute
−
2
x
+
3
for
y
in
4
x
+
3
y
=
1
:
4
x
+
3
y
=
1
4
x
+
3
(
−
2
x
+
3
)
=
1
−
2
x
+
9
=
1
(Simplify both sides of the equation)
−
2
x
+
9
+
−
9
=
1
+
−
9
(Add -9 to both sides)
−
2
x
=
−
8
−
2
x
−
2
=
−
8
−
2
(Divide both sides by -2)
x
=
4
Step: Substitute
4
for
x
in
y
=
−
2
x
+
3
:
y
=
−
2
x
+
3
y
=
(
−
2
)
(
4
)
+
3
y
=
−
5
(Simplify both sides of the equation)
Answer:
x
=
4
and
y
=
−
5
Answer:
38 times
Step-by-step explanation:
A coin has two sides, so there is a 50% chance it will land on either side (assuming perfect conditions and that the coin cannot land vertically). With that in mind, if you flip a coin 76 times, 50% or 1/2 of the times the coin should land on tails. That is 36 times. (Once again, this is under perfect testing conditions. In real life, you probably wouldn't get an even split after only 76 flips.)
Hope this helps :)
<u>Answer</u>:
The perimeter of rhombus WXYZ is
<u>Step-by-step explanation:</u>
Step 1 :Finding length of XY
Distance formula = 
here
= 5
=3
= -1
=2
XY = 
XY = 
XY = 
XY = 
XY = 
Step 2 :Finding length of YZ
Distance formula = 
here
= 3
=5
= 2
=5
YZ = 
YZ = 
YZ = 
YZ = 
Step 3 : :Finding length of ZW
Distance formula = 
here
= 5
=7
= 5
=2
ZW = 
ZW = 
ZW = 
ZW = 
Step 4 :Finding length of WX
Distance formula = 
here
= 7
=5
= 2
= -1
WX = 
WX = 
WX = 
WX = 
Step 5: finding the perimeter of the rhombus
Perimeter= 4 X side
=>
=>
Answer:
The 95% confidence interval is ( 27.126 , 34.674)
Step-by-step explanation:
Given
The t critical value at 0.05 level = 2.023 for the df = 39
Confidence interval = 95%
Mean

Substituting the given values we get -

Hence, the 95% confidence interval is
( 27.126 , 34.674)