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3 years ago

For what value of x must ABCD be a parallelogram? asap please!!

Mathematics

2 answers:

pochemuha3 years ago

3 0

Parallelogram so
CD = AB
18x - 5 = 15x + 4
3x = 9
x = 3

answer
x = 3

nalin [4]3 years ago

3 0

Answer:

x = 3

Step-by-step explanation:

In a parallelogram, opposite sides have the same length. Then:

segment DC = segment AB

and

segment DA = segment CB

Replacing with data from the picture, we get:

18*x - 5 = 15*x + 4

18*x - 15*x = 4 + 5

3*x = 9

x = 9/3

x = 3

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3 years ago

Find x and y, given that KL and line MN are parallel. Show all work

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2 years ago

Read 2 more answers

A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. Before t

aleksklad [387]

Answer:

We cannot say that the mean wake time are different before and after the treatment, with 98% certainty. So the zopiclone doesn't appear to be effective.

Step-by-step explanation:

The goal of this analysis is to determine if the mean wake time before the treatment is statistically significant. The question informed us the mean wake time before and after the treatment, the number of subjects and the standard deviation of the sample after treatment. So using the formula, we can calculate the confidence interval as following:

$IC[\mu ; 98\%] = \overline{y} \pm t_{0.99,n-1}\sqrt{\frac{Var(y)}{n}}$

Knowing that $t_{0.99,15} = 2.602$ :

$IC[\mu ; 98\%] = 98.9 \pm 2.602\frac{42.3}{4} \Rightarrow 98.9 \pm 27.516$

$IC[\mu ; 98\%] = [71.387 ; 126,416]$

Note that $102.8 \in [71.384 ; 126.416]$ so we cannot say, with 98% confidence, that the mean wake time before treatment is different than the mean wake time after treatment. So the zopiclone doesn't appear to be effective.

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