Find the surface area of a sphere in terms of pi given the radius of 25 inches
1 answer:
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Answer:
Area of ΔPQR is 28 units²
Step-by-step explanation:
-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)
-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point P( 0, b)
x-2y+2 = 0, subtract x and 2 from both sides
-2y = -x-2, divide by -2 both sides
y= (1/2)x +1 so b=1 and P (0, 1)
-Q is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)
-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point Q( 0, b)
3x +y -15 =0, subtract 3x and add 15 to both sides
y= -3x +15 so b=15 and Q(0,15)
-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15
(1/2)x +1 = -3x +15, add 3x and subtract1
(1/2) x+3x = 15-1, combine like terms
(7/2)x = 14 , multiply both sides by 2
7x = 28, divide both sides by 7
x= 4
y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)
- the area of ΔPQR is (base *height)/2
base= 15-1= 14
height = 4
A= (14*4)/2 = 14*2 = 28
Answer:
Step-by-step explanation:
a) Estimate for population mean = Sum/n =
b) Variance = 0.099208
Std dev = 0.314974
Std error = 0.0950
For 95% margin of error = 1.96*Std error
=0.1861
Confidence interval =
Interpretation of confidence interval:
A) if repeated samoles are taken, 95% of them will have a sample pH of rain water between [ ] & [ ].
For 99% CI, z value = 2.59
Conf interval = (4.6790, 5.1710)
C)if repeated samoles are taken, 99% of them will have a sample pH of rain water between [ ] & [ ].
As the level of confidence increases l, the width of the interval[ increases] this makes sense since the [ margin of error] [increases]