Answer:
Volume = 16 unit^3
Step-by-step explanation:
Given:
- Solid lies between planes x = 0 and x = 4.
- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)
Find:
Determine the Volume bounded.
Solution:
- First we will find the projected area of the solid on the x = 0 plane.
A(x) = 0.5*(diagonal)^2
- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,
A(x) = 0.5*(sqrt(x) + sqrt(x) )^2
A(x) = 0.5*(4x) = 2x
- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:
V = integral(A(x)).dx
V = integral(2*x).dx
V = x^2
- Evaluate limits 0 < x < 4:
V= 16 - 0 = 16 unit^3
Answer:
Part A: (0.25+0.30+0.75) - 0.20
Part B:
Step-by-step explanation:
The jar contains 0.25 of apple juice and 0.30 liter of grape juice. Then, another 0.75 litter is added. Melissa drank 0.20 of that, making the value lower (Hint: subtraction).
So we have to add 0.25, 0.30, and 0.75. Subtract it by 0.20. My equation would look like:
(0.25+0.30+0.75) - 0.20
The simplified equation will be:
1.3 - 0.20
= 1.1
I used the associative property to simplify the parenthesed part of the equation, and subtracted it by 1.1. Even though it has been simplified, the result has no changed and it is still the same value as it would have been in the previous equation.
Best of luck, and have a blessed day! For any question or comments, please say so!
Answer:
wut
Step-by-step explanation:
Answer:
y= (-6/5)x -2
Step-by-step explanation:
y=mx+b , where m is the slope, and b is the y -intercept
the y -intercept is where the line intersects the y-axis so b = -2
the slope m= y(rise) /x(run) = 6/-5 = -6/5 ( to find the slope you have to know how to get from any point on the line to another point on the same line; start at point (0,-2) go up 6(y-rise) and to the left 5(x-run) at point (-5,4))
y= (-6/5)x -2
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
