Answer:
original number = 53
Step-by-step explanation:
In two digits number:
Let the tens place digit be x and units place digit be y.
So,
Original number = 10x + y
Number obtained after reversing the digits = 10y + x
According to the first condition:
x + y = 8.... (1)
According to the second condition:
10y + x = 10x + y - 18
10y + x - 10x - y = - 18
9y - 9x = - 18
-9(x - y) = - 18
x - y = - 18/(-9)
x - y = 2.......(2)
Adding equations (1) & (2), we find
x + y + x - y = 8 + 2
2x = 10
x = 10/2
x = 5
Plug x = 5 in equation (1), we find:
5 + y = 8
y = 8 - 5
y = 3
10x + y = 10*5 +3 = 50 + 3 = 53
Hence, original number = 53
Answer:
54.80 MPa to 55.92 MPa
Step-by-step explanation:
Sample mean fracture strength (x) = 55.36 MPa
Sample standard deviation (s) = 3.99 MPa
Sample size (n) = 196.
The upper and lower bounds for a 95% confidence interval are given by:

The upper and lower bounds of the confidence interval are;

The 95% confidence interval for true average fracture strength is 54.80 MPa to 55.92 MPa
Answer:
Segment AC is congruent to segment LJ
Step-by-step explanation:
<span>Generate a function for the height of the cyliner as a function of radius. Use this function to generate a function of r for the material used. Take the derivative of that function, set it to zero, and solve for r.
</span><span>V=π<span>r2</span>h</span>h=d
h=d=2r
h=2r
<span>V=π<span>r2</span>2r
</span><span>V(r,h)=180.5=π<span>r2</span>h⟹h=<span>180.5/<span>π<span>r2</span></span></span></span><span>⟹A(r)=r(r+h)=<span>r2</span>+<span>180.5/<span>πr
</span></span></span><span>A(r)=2r(2r+h)=4<span>r2</span>+<span>361/<span>πr
</span></span></span>
<span><span>A′</span>(r)=8r−<span>361/<span>π<span>r2</span></span></span></span>
Answer:
sub to メRαǤE_BlɨƬšメ
Step-by-step explanation: