Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Mean (m) = 266 days
Standard deviation (s) = 16 days
A.) p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
B.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = - 1.96 (Z probability calculator)
x - 266 = - 31.36
x = - 31.36 + 266
x = 234.64
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
Hence,
234.64 < x <297.36
C.)
p(( Z ≤ (x - m) /s) = 2.5%
p(( Z ≤ (x - 266) /16) = 0.025
(x - 266) /16 = 1.96 (Z probability calculator)
x - 266 = 31.36
x = 31.36 + 266
x = 297.36
Please find the attachment.
Let x represent the side length of the squares.
We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.
The side of box will be
and
.
The height of the box will be
.
The volume of box will be area of base times height.

Now we will use FOIL to simplify our expression.


Now we will distribute x.


Therefore, the volume of the box would be
.
Answer:
y = -3/4x -2
Step-by-step explanation:
Slope intercept is y = mx+b where m is the slope and b is the y intercept
4y = -3x-8
Divide each side by 4
4y/4 = -3x/4 -8/4
y = -3/4x -2
Answer:
T = ±22
Step-by-step explanation:
Let's solve your equation step-by-step.
0=−16t2+7744
Step 1: Add 16t^2 to both sides.
0+16t2=−16t2+7744+16t2
16t2=7744
Step 2: Divide both sides by 16.
16t2
16
=
7744
16
t2=484
Step 3: Take square root.
t=±√484
t=22 or t=−22
Good evening ,
______________
Answer:
a=3
___________________
Step-by-step explanation:
Look at the photo below for the answer.
:)