70 did not order vanilla frozen yogurt
Answer:
(11.605 ; 22.195)
Step-by-step explanation:
11 10 16 15 18 12 25 20 18 24
Sample mean, xbar = Σx / n = 169 / 10 = 16.9
Standard deviation = 5.152 ( using calculator)
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/√n
Df = n - 1 = 10 - 1 = 9
Tcritical at 99%, df =9 = 3.2498
Margin of Error = 3.2498 * 5.152/√10 = 5.2946
Lower boundary :
16.9 - 5.2946 = 11.6054
Upper boundary :
16.9 + 5.2946 = 22.1946
(11.605 ; 22.195)
Answer:
Step-by-step explanation:
Factor the left hand side as a difference of squares:
(
cos
2
θ
+
sin
2
θ
)
(
cos
2
θ
−
sin
2
θ
)
=
cos
2
θ
−
sin
2
θ
Apply the pythagorean identity
cos
2
θ
+
sin
2
θ
=
1
:
1
(
cos
2
θ
−
sin
2
θ
)
=
cos
2
θ
−
sin
2
θ
cos
2
θ
−
sin
2
θ
=
cos
2
θ
−
sin
2
θ
L
H
S
=
R
H
S
Hopefully this helps!
X can be anything you want as long as it is not 1 or -7. If you have repeated x values with different y values, then it won't be a function.
Answer:
4/5
Step-by-step explanation:
Short and Sweet Have a good day :D