Answer:
Step-by-step explanation:
Calculate z-score firstly
z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1
P( x greater than or equal to 2.75) = P(z greater than or equal to 1)
= 1 - p(z <1)
P(z<1) from table = 0.84134
1-p(z<1) = 0.15866 or 15.866%
Answer:
P = (2, 7)
Step-by-step explanation:
You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.
<h3>Equation for P</h3>
For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...
P = A +q(B -A) = (1 -q)A +qB
<h3>Application</h3>
For q = 3/4, the location of P is ...
P = (1 -3/4)A + 3/4B = (A +3B)/4
Using the given point coordinates, we have ...
P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4
P = (2, 7)
This is an equation, you can't write equations as decimals. I think you're asking for x (as a decimal)?
Add 8 to each side: 4+8= 8+(-8)+3x
12=3x
x=4
This is a whole number so it's already in decimal form
Answer:
The paint will not fill the tray by 10.53 cubic inches.
Step-by-step explanation:
We will find the volume of the paint tray and compare it with the volume of the gallon.
Given dimensions are:
Length = 14 inches
Width = 10 inches
Depth = 4 cm or 
inches
The volume is given by = length x width x depth
Volume = 
cubic inches
Volume of 1 gallon is given as = 231 cubic inches
We can see that volume of 1 gallon is more than volume of tray.
Difference = 
cubic inches.
So, the paint will not fill the tray by 10.53 cubic inches.
