Answer:-2.3
Step-by-step explanation:
Answer:
- y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
- y = (x - 4)(x^2 + 4)(x^2 - 3) Possible answer
Step-by-step explanation:
The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i
√3 has the same sort of rule. It cannot be a root all by itself. It also must have a twin, in this case -√3
So the answer must be
(x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) <<< Possible answer
but this can be reduced even further.
- (x + 2i)(x - 2i) = x^2 - x*2i + x*2i - 4i^2
- (x + 2i)(x - 2i) = x^2 - 4(i)^2
- (x + 2i)(x - 2i) = x^2 + 4. Remember i^2 = - 1
By a similar method (x - √3)(x + √3) = x^2 - 3
So the polynomial is reduced to
(x - 4)(x^2 + 4)(x^2 - 3) <<<< Answer
If this is not among your answers and the factored form is not either, please tell me what is.
Answer:
(a) It is an experiment.
(b) Group III has been tested to compare the effect of tea
Step-by-step explanation:
24 volunteers are randomly selected to one of the three groups.
Group I drinks two cups of hot black tea without milk
Group II drinks two cups of hot black tea with milk
Group III drinks two cups of hot water but no tea.
At the end of the month, the researchers measured the change in each of the participant's heart health.
The average change of health status of three Groups can be measured and let it be X1', X2' and X3'. We can set up the hypothesis of no difference of heart health i.e H0 : µ1 = µ2 = µ3 against the alternative hypothesis that they are not equal. As the sample size is less than 30, we can use t-statistic.
Under the above logic, (a) it is an experiment.
(b) Group III has been tested to compare the effect of tea or to have comparison between GroupI and Group III.
Answer:
Around 34.14% of the cookies are between 11.32 and 11.35 grams.
Step-by-step explanation:
In a normal distribution around 68.28% of the values are around minus one to one standard deviation. In this case we want to know the percentage of values that are between zero and one standard deviation, therefore the percentage of values that are in that range is given by 68.28% / 2 , which is equal to 34.14%.
Answer:
g(x) = (5x + 3)/ x - 7
Step-by-step explanation:
Let g(x) = y
y = (7x + 3)/x - 5
Make x the subject
xy - 5y = 7x + 3
xy - 7x = 5y + 3
x(y - 7) = 5y + 3
x = (5y + 3)/ y - 7
Therefore, the inverse of the function = (5x + 3)/ x - 7
