Answer:
Step-by-step explanation:
We want to find the equation of the line tangent to the graph of:
So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:
Simplify:
We can factor out the denominator within the square root:
Simplify:
So, we can find the slope of the tangent line at <em>x</em> = 5/2. By substitution:
Evaluate:
We will also need the point at <em>x</em> = 5/2. Using our original equation, we acquire that:
So, a point is (5/2, π/6).
Finally, by using the point-slope form, we can write:
Distribute:
Isolate. Hence, our equation is:
Answer:
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 40
Given that standard deviation of the Population = 15
Let 'x' be the random variable in normal distribution
Let 'X' = 25
Let 'X' = 55
<u><em>Step(ii):-</em></u>
The probability that between 25 and 55
P( 25 ≤ X≤ 55) = P( -1≤z≤1)
= A(1) - A(-1)
= A(1) + A(1)
= 2 × A(1)
= 2× 0.3413
= 0.6826
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
<u><em>Final answer:-</em></u>
The proportion of measurements between 25 and 55
P( 25 ≤ X≤ 55) = 0.6826
1/2 can also be written as 0.5, so you're asking what 6.5% of 580 is. To get 1% you divide by 100 which is 5.8. You can then multiply 5.8 by 6 to get 34.8 (6%). To get 0.5%, you halve 5.8 to get 2.9. Then, you add 2.9 and 34.8 which is 37.7, and that should be your answer! Hope this helped!
Step-by-step explanation:
Quadratic term = Coefficient of x^2 term = 3.
Answer:
3/5 y +9/10 z
Step-by-step explanation:
4/5 y + 7/10 z - 1/5 y + 1/5 z
4/5 y - 1/5 y + 7/10 z + 1/5 z
We need to get a common denominator for the z term of 10
4/5 y - 1/5 y + 7/10 z + 1/5 *2/2 z
4/5 y - 1/5 y + 7/10 z + 2/10 z
3/5 y +9/10 z
