the multiplication of fractions is very straightforward, numerators across and denominators across, now, let's firstly convert the mixed fraction to improper fraction.
What number must you add to complete the square x2 + 12x = -3
2 answers:
Answer:
We must add number 36 to complete the square.
Step-by-step explanation:
Given : x² + 12x = -3.
To find : What number must you add to complete the square.
Solution : We have given that
x² + 12x = -3.
Step 1) On multiplying and divide by 2 the term 12 x
x² + 2 *x = -3.
x² + 2 * 6x = -3.
Step 2 ) Now add and subtracting square of 6 on left side.
x² + 2 * 6x + 6² - 6² = -3.
x² + 2 * 6x + 6² - 36 = -3.
We can see first three terms are complete square
(x + 6 )² - 36 = -3 .
On adding both side by 36
(x + 6 )² = - 3 + 36
(x + 6 )² = 33.
Therefore, We must add number 36 to complete the square.
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Answer:
Step-by-step explanation:
Hello!
Research.
n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.
18, 23, 24, 22, 19, 27, 23, 26, 25
Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.
a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.
b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:
H₀: μ = 20
H₁: μ ≠ 20
This is a two-tailed test, meaning, you will have two critical regions.
d.
α: 0.05
Left critical value:
Right critical value:
e.
X[bar]= 23
S= 3
f.
Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.
I hope it helps!
So,
All you have to do is find the total labor cost and put it over the revenue.
We have two workers each earning $8/hr. (lousy), and they work 40 hrs./week.
2 * $8 = $16/hr.
$16/hr. * 40 hrs. = $640
Cross out zeros.
Simplify.
Convert the denominator to 100.
=
32%
The labor cost is 32% of the revenue.
All you have to do is find the total labor cost and put it over the revenue.
We have two workers each earning $8/hr. (lousy), and they work 40 hrs./week.
2 * $8 = $16/hr.
$16/hr. * 40 hrs. = $640
Cross out zeros.
Simplify.
Convert the denominator to 100.
=
32%
The labor cost is 32% of the revenue.