Answer:
Step-by-step explanation:
The coordinates of point P are (-1.4,0.6)
Step-by-step explanation:
We are given A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid.
that means each grid has a value of 0.2.
" A point labeled P is shown at the intersection of 7 grid lines to the left of the y-axis and 3 grid lines above the x-axis "
As P lies on the left of the y-axis and above the x-axis hence the x-value will be negative and y-value will be positive.
According to the given information P lies 7 grid lines to the left of y-axis.
i.e. it has x-value -7×0.2= -1.4
and 3 grid lines above the x-axis i.e. it has y-value:
y-value= 3×0.2=0.6
Hence, the coordinates of Point P are (-1.4,0.6).
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Answer: The probability is 0.5136.
To find this probability we have to find the range of the values on the normal distribution table.
First, we need to find the percent for each making z-score.
Lower end: 50/24 = 2.08 = 0.0183
Upper end: 2/24 = 0.08 = 0.5319
Now, that we have the upper and lower ends, we can subtract them to find the difference or the range.
0.5319 - 0.0183 = 0.5136
There is a 51.36% chance they are in the given range.
Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach? well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.
if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.
the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.
<h2>
Dimension of box is 2 m x 2 m x 1.33 m</h2>
Step-by-step explanation:
Let a be base side and h be the height.
Volume of box, V = a²h
The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.
That is
4a² + 3 x 4 x a x h = 48
4a² + 12 a x h = 48
a² + 3 ah = 12

So volume is

At maximum volume we have derivative is zero,

Negative side is not possible, hence side of square base is 2m.
Substituting in a² + 3 ah = 12
2² + 3 x 2 x h = 12
h = 1.33 m
Dimension of box is 2 m x 2 m x 1.33 m
The point where the two diagonals meet is also the midpoint of both diagonals.
This means that AE = EC . Since we have the value for both segments, we have

Since AC = AE + EC, we have
