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3 years ago

4log, 11 – 20log 35

Mathematics

1 answer:

ANEK [815]3 years ago

4 0

Answer:

-26.71579

Step-by-step explanation:

Any scientific or graphing calculator can evaluate this expression for you.

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SIMPLIFY 7/10+1/4-1/5=

Strike441 [17]

Answer:

3/4

Step-by-step explanation:

Q = $\frac{7}{10} +\frac{1}{4} -\frac{1}{5}$

{the smallest common multiple of 10, 4 and 5 is 5×2×2 = 20 (denominator)}

Q = $\frac{7×2}{10×2} +\frac{1×5}{4×5} -\frac{1×4}{5×4}$

= $\frac{14}{20} +\frac{5}{20} -\frac{4}{20}$

= $\frac{14+5-4}{20}$

= $\frac{15}{20}$

= $\frac{3×5}{4×5}$

= $\frac{3}{4}$

4 0

3 years ago

Is the expression below completely factored? If not, complete the factorization.

Ket [755]

Answer:

A) No, because the greatest common factor is 8y?, and the completely factored form is 8y2(4y2 - 6y + 3).

Step-by-step explanation:

Considering the expression

4y(8y3 – 12y2 + 6y)

From the elements in the parenthesis, 2 and y can still be factored out such that what will be left of each element

8y3/2y = 4y2

12y2/2y = 6y

6y/2y = 3

Hence

4y(8y3 – 12y2 + 6y) = 4y*2y(4y2 - 6y +3)

= 8y2(4y2 - 6y + 3)

6 0

3 years ago

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.