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3 years ago

Someone please help me it's worth 35 points

Mathematics

1 answer:

Zigmanuir [339]3 years ago

4 0

Question 1)
I assume it asks about the circumference (of only the circle arc)
C=r*2*pi
r=2
-> C=4pi

1 Quarter only of the circle: C/4=pi=3.1

if it's the perimeter of the shape then you need to add the two 2in sides

C=3.1+2*2=7.1

2)
C=r*2*pi, but not a full circle, only semi-> divide by 2-> C=r*pi
r=30
C=30pi=94.2

3)
the radius of the semicircle is 6/2=3mm
semicircle C=r*pi=3pi

add the rectangle perimeter
3pi+2*3+6=12+3pi=21.4

4)
C=2r*pi
insert 2r=d=12
C=12pi=37.7

5)
C=2r*pi
r=10
C=20*pi~62.8

3 rotations of the wheel->
distance=C*3=188.4

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Step-by-step explanation:

Information given

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$\hat p=0.75$ estimated proportion of residents favored annexation

$p_o=0.72$ is the value that we want to test

represent the significance level

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

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Alternative hypothesis: $p > 0.72$

The statistic for this case is given by:

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Replacing the data given we got:

$z=\frac{0.75 -0.72}{\sqrt{\frac{0.72(1-0.72)}{900}}}=2.00$

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