What is the solution to the equation? 5(n - 1/10) = 1/2

Mathematics

1 answer:

stira [4]2 years ago

6 0

Answer:

i have made it in picture hope it help

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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.

7 0

3 years ago

Mark spends $36 at a basketball game. He buys a T-shirt for $22. He then buys a bottle of water for $4 and 2 tacos. How much is

Arturiano [62]

Answer:

each taco is $7.

Step-by-step explanation:

In total he spent $36. He bought a shirt for $22 and a bottle of water for $4.

22+4= 26

36-22= 14

14 divided by 2= 7

5 0

3 years ago

Read 2 more answers

The rectangle below has an area of x^2-15x+56x square meters and a length of x-7 meters.

Gennadij [26K]

$Heya \: \: ! \\ \\ \\ Area \: of \: rectangle \: = Length \: \times Width \\ \\ We \: are \: given \: that \: , \\ \\ Length \: = \: \: ( \: x - 7 \: ) \: metres \\ Area \: \: \: \: \: = \: \: \: ( \: {x}^{2} - 15x + 56 \: ) \: square \: meters \\ \\ Therefore \: \: , \: \\ {x}^{2} - 15x + 56 = ( \: x - 7) \times Width \\ \\ Width = \frac{ ({x}^{2} - 15x + 56 )}{(x - 7)} \\ \\ Width = \frac{(x - 7)(x - 8)}{(x - 7)} \\ \\ \\ Width = ( \: x - 8 \: ) \: \: m \: \: \: \: \: \: \: \: \: Ans.$

3 0

2 years ago

A blueprint for a house has a scale of 1:5 feet. The living room has a length of 2.5 inches and a width of 3 inches. What is the

stiks02 [169]

Answer:

Step-by-step explanation:

Set this up as a proportion, with inches on the top and feet on the bottom for our scale. We will find the actual length first, then we'll find the width.

$\frac{in}{ft}:\frac{1}{5}=\frac{2.5}{x}$