Answer:
a) the 95% confidence interval for the true mean µ is 60.971, 65.629
The exact 95% confidence interval for the true mean µ is 60.971, 65.629
P (x`- ∝ s/√n<u <x`+ ∝ s/√n) = 0.95
Step-by-step explanation:
n= 50
x`= 63.3
s= 8.4 minutes
∝= 95%= ±1.96
The formula for calculating the confidence interval is:
x`± ∝ s/√n
Putting the values
x`± 1.96 s/√n
63.3 ± 1.96(8.4/√50)
63.3± 2.3287
60.971, 65.629
a) the 95% confidence interval for the true mean µ is 60.971, 65.629
b) Putting the values
x`± 1.96 s/√n
63.3 ± 1.96(8.4/√50)
63.3± 2.3287
The exact 95% confidence interval for the true mean µ is 60.971, 65.629
c) The prediction level tells that the drying time of the wall from 60.971 to 65.629 minutes must be in the range 95 % of the time.
And is given by
P (x`- ∝ s/√n<u <x`+ ∝ s/√n) = 0.95
Answer:
89
Step-by-step explanation:
So the line segment CD is 12.7 and half that is 6.35. I wanted this 6.35 so I can look at the right triangle there and find the angle there near the center. This will only be half the answer. So I will need to double that to find the measure of arc CD.
Anyways looking at angle near center in the right triangle we have the opposite measurement, 6.35, given and the hypotenuse measurement, 9.06, given. So we will use sine.
sin(u)=6.35/9.06
u=arcsin(6.35/9.06)
u=44.5 degrees
u represented the angle inside that right triangle near the center.
So to get angle COD we have to double that which is 89 degrees.
So the arc measure of CD is 89.
The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the <span>intercepted arcs.
(210 - x)/2 = 50
210 - x = 50*2
210 - x = 100
210 - 100 = x
x = 110</span>°
Answer:
$3.88
Step-by-step explanation:
I might have done this wrong, so sorry if I did!!
24 x 31 = 744 bananas were sold
744/192=3.875
3.875 rounded is 3.88
Answer:
x = -4
y = 1
The intercepts the x-axis at -4 and the y intercept at 1.
