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Vlad1618 [11]
3 years ago
7

Figure ABCD is a parallelogram. A. 44 B. 14 C. 38 D. 49

Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

44 units

Step-by-step explanation:

We know that in a parallelogram opposite sides are equal.

Therefore AB=CD and AD=BC

Consider AB=CD,

⇒4y-2=2y+6

⇒2y=8

⇒y=4

Now consider AD=BC,

⇒3x-1=2x+2

⇒x=3

now substituting values of x and y in the expressions of sides,

we get AB=CD=14 units and AD=BC=8 units

Therefore perimeter of parallelogram is 2*(AB+BC)=2*(14+8)=<u>44 units</u>

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A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random samp
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Answer:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

Step-by-step explanation:

Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.

We find mean = 11.015

Sample std deviation = 3.157

a) H_0: \bar x= 12 oz\\H_a: \bar x >12

(Right tailed test)

Mean difference /std error = test statistic

\frac{11.015-12}{\frac{3.157}{\sqrt{10} } } \\=-0.99

p value =0.174

Since p >0.01, our alpha, fail to reject H0

Conclusion:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

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