Answer:
P ( x_bar > 335 ) = 0.9826
Step-by-step explanation:
Given:
- Mean amount u = 350
- standard deviation s.d = 45/year
- Sample size n = 40
Find:
- The probability of sample mean P( x_bar > 335 )
Solution:
- P ( x_bar > 335 ) = P ( Z > sqrt(n)*(x_bar - u)/s.d)
= P ( Z > sqrt(40)*(335-350)/45)
= P ( Z > -2.111) = P ( Z < 2.111)
= 0.5 + P( 0 < Z < 2.111)
= 0.5 + 0.4826
= 0.9826
The equation formula is y - y1 = m(x-x1)
Using the first point for x1, y1:
Y +13 = m(x-15)
M is the slope which is the change in y over the change in x:
M = -11–13 / 16-15 = 2/1 = 2
The equation becomes y +13 =2(x+15)
The answer is:
He incorrectly wrote the slope in his equation. He should have written y+13=2(x−15).
Answer:
<em>c=6, d=2</em>
Step-by-step explanation:
<em>Equations
</em>
We must find the values of c and d that make the below equation be true
![\sqrt[3]{162x^cy^5}=3x^2y \sqrt[3]{6y^d}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%3D3x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D)
Let's cube both sides of the equation:
![\left (\sqrt[3]{162x^cy^5}\right )^3=\left (3x^2y \sqrt[3]{6y^d}\right)^3](https://tex.z-dn.net/?f=%5Cleft%20%28%5Csqrt%5B3%5D%7B162x%5Ecy%5E5%7D%5Cright%20%29%5E3%3D%5Cleft%20%283x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D%5Cright%29%5E3)
The left side just simplifies the cubic root with the cube:
![162x^cy^5=\left (3x^2y \sqrt[3]{6y^d}\right)^3](https://tex.z-dn.net/?f=162x%5Ecy%5E5%3D%5Cleft%20%283x%5E2y%20%5Csqrt%5B3%5D%7B6y%5Ed%7D%5Cright%29%5E3)
On the right side, we'll simplify the cubic root where possible and power what's outside of the root:

Simplifying

Equating the powers of x and y separately we find
c=6
5=3+d
d=2
The values are

For this case we must find the surface area of a rectangular prism.
We have then:

Where,
w: width
l: long
h: height
Substituting values we have:
Answer:
There will be needed 88 in ^ 2 of giftwrap to cover the box
To solve this question, I did an equation:
0.75x + 1.20y = 120
0.75(95) + 1.20(35) = 120
Then multiply:
71.25 + 42 = 120
Now to check:
71.25 + 42 = 113.25
Answer: 120 - 113.25 = $6.75 Hope this helps