Answer:
0.3902
Step-by-step explanation:
The question meets the criteria for the calculation of the confidence interval of a one sample proportion ;
Sample size, n = 27
Number of students with faster reaction time = 14
Phat = x / n = 14 / 27 = 0.6296
The confidence interval is calculated thus :
C. I = Phat ± Zcritical * √[p(1 - p)/n]
Zcritical at 99% = 2.576
C. I = 0.6296 ± 2.576 * √[0.6296(0.3704)/27]
C.I = 0.6296 ± 0.2394042
The lower boundary of C.I = 0.6296 - 0.2394042
Lower boundary = 0.3902
Answer:
x = 10, y = 0
Step-by-step explanation:
x + y = 10 ---> x = 10 - y
3x + 2y = 30
3 (10 - y) + 2y = 30
30 - 3y + 2y = 30
y = 0
x + 0 = 10
x = 10
I want to say 5.5 because I did 11 / 2 and got that so i know it’s wrong but yea
Answer:
$10.45
Step-by-step explanation:
You need to add up the total price before the sale and after then subtract
<em>18.95 + 7.99 = </em><em>$26.94</em>
<em>8.99 + 7.50 = </em><em>$16.49</em>
<em>26.94 - 16.49 = </em><em>$10.45</em>
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To find the answer we can break the figure into two parts: a rectangle and a semi circle.
The perimeter of the rectangle:
(10+4)×2
=28 ft
The perimeter of the semi circle:
perimeter of a circle: 2×兀×radius
(The radius: 4/2)
We divide the perimeter by two as it is a semi circle,which is half the circumferece perimeter of a circle.
[2(3.14)(4/2)] / 2
=6.28 ft
We can then add up the numbers to find the answer, and remember that 4 cm is overlapped:
28+6.28-4
=30.28ft
Therefore the answer is 30.28ft.
Hope it helps!