Answer: 
Step-by-step explanation:
Given : Sample size : n= 9
Degree of freedom = df =n-1 =8
Sample mean : 
sample standard deviation : 
Significance level ; 
Since population standard deviation is not given , so we use t- test.
Using t-distribution table , we have
Critical value = 
Confidence interval for the population mean :

90% confidence interval for the mean value will be :






Hence, the 90% confidence interval for the mean value= 
Answer:
f(x) = x² +x -6
Step-by-step explanation:
The standard form will look like ...
f(x) = x² +bx +c
where b is the opposite of the sum of the roots, and c is their product.
f(x) = x² -(-3+2)x +(-3)(2)
f(x) = x² +x -6
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<em>Additional comment</em>
In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).
Answer:
x=−6±3√5
Step-by-step explanation:
Answer:
The variable that may change in response to the increase of the drug is the GAD symptoms by a 37,5%.
Step-by-step explanation:
According to the results of the first experiment with a mass of 200 mg of Drug R, they obtain a reduced of the GAD symptoms by a 25 percent evidenced by the Hamilton Anxiety Scale.
If they decided to increase the mass of Drug R to 300 mg the results expected are a increase of the porcentange of the reduced symptoms of generalized anxiety disorder, according to the tendence of the first hypothesis and the Hamilton Anxiety Scale.
We can express this increase by using the three simple rule. Where if 200 mg of Drug R reduced the 25% of the GAD symptoms, if we increase to 300 mg of Drug R how much porcentage this amount will be reduced.
Doing the maths 300mg × 25%=7500mg%,
⇒ 7500mg% ÷ 200mg = 37,5%.
<u>In conclusion</u> if they increased the mas of Drug R to 300 mg they will be reduced the generalized anxiety disorder (GAD) to a 37,5%.
sum of two angles of triangle are equal to the exterior angle of triangle