Answer:
a.1.90 years
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this question:
So
So the correct answer is:
a.1.90 years
Answer:
Step-by-step explanation:
4 1/2 - 2 5/8
4 4/8 - 2 5/8 = 1 and 7/8
i mean i guess you could also do this witho ut sol ving
4 4/8 - 21/8 --> 36/8 - 21/8
i dk it's si mplify not solve so here?
Answer:
(- 6, 3 )
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (y, - x ), thus
(- 3, - 6 ) → (- 6, 3 )
Mean diameter = 25 mm
Standard deviation = 0.2 mm
25.6 mm - 25 mm = 0.6 mm
0.6 mm : 0.2 mm = 3
Answer:
A ball bearing with a diameter 25.6 mm differs from the mean
D ) 3 standard deviations.
Answer:
Determine the next step for solving the quadratic equation by completing the square.
0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 + = –2(x2 – x + )
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction
-7/2 = -2(x - ½)²
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
7/2 = -2(x - ½)²
