Answer:
95% confidence interval for the population mean is 20.255 and 17.945
Step-by-step explanation:
given data
mean = 19.1
standard deviation = 1.5
n = 9
to find out
95% confidence interval for the population mean
solution
we know 95% confidence interval formula i.e.
mean +/- t * standard deviation/
.............1
here t for 9 students 2.31 ( from t table)
so put all value n t standard deviation and mean in equation 1
= mean +/- t * standard deviation/
= 19.1 +/- 2.31 * 1.5/
= 19.1 +/- 2.31 * 1.5/
= 20.255 and 17.945
95% confidence interval for the population mean is 20.255 and 17.945
Answer:
easy
Step-by-step explanation:
-7 not in domain
0 is in domain
7 is in domain
Answer:
f(g(x)) = -9(sqrt(x + 1) ) + 9
-36
Step-by-step explanation:
This is easier to see if you use the expanded notation.
f(g(x)) = ?
But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so
f(g(x)) = -9(g(x)) + 9 Now substitute the right side of g(x) into the equation for f(x)
f(g(x)) = -9(sqrt(x + 1) ) + 9
Edit to get the numerical answer.
This should be your answer or the expression that will give you the answer.
f(g(24)) = -9(sqrt(24+1) ) + 9
f(g(24)) = -9sqrt(25) +9
f(g(24)) = - 9*5 + 9
f(g(24)) = - 45 + 9
f(g(24)) = - 36
The given equation is non-linear.
Solution:
Given expression is 
.
To find the equation is linear or non-linear.
Linear equation is a straight line which is in the form ax + by + c = 0.
Otherwise it is non-linear equation.
⇒
Do cross multiply for the fractions to make the denominators same.
⇒ 
⇒ 
Do cross multiplication.
⇒ 
⇒ 
Here, there is no constant term.
So, the equation is not a straight line.
Hence, the given equation is non-linear.
Answer:
- 9÷0.001 is greater than 8÷0.001.
- 7÷0.001 is less than 8÷0.001.
- 8÷0.002 lie between 8÷0.001 and 8÷110.
Step-by-step explanation:
- The division expression which is greater than 8÷0.001 is:
9÷0.001
Since, the numerator of the number 9÷0.001 is greater than 8÷0.001. and as their denominator is same.
so, the number whose numerator is greater than the other will result in the overall number to be greater.
- The division expression which is less than 8÷0.001 is 7÷0.001.
Since, for two numbers with same denominator the number whose numerator is smaller is smaller than the other.
- The division expression that lie between 8÷0.001 and 8÷110 is: 8÷0.002.
Since 8÷0.002 is greater than 8÷110, as for two numbers with same numerator but different denominator the number whose denominator is greater is a smaller number.
similarly 8÷0.002 is smaller than 8÷0.001.
