Answer :Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
Step-by-step explanation:
Considering the quadrilateral with vertices
d(0,0)
i(5,5)
n(8,4)
g(7,1)
Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
From the figure a, it is clear that the quadrilateral has
Two pairs of sides
Each pair having two equal-length sides which are adjacent
The angles being equal where the two pairs meet
Diagonals as shown in dashed lines cross at right angles, and one of the diagonals does bisect the other - cuts equally in half
Please check the attached figure a.
Answer:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
We want this probability:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
After five weeks they will have the same amount of money.
Answer:
MOP=33
Step-by-step explanation:
MOP + MON = NOP
Substitute what we know
MOP = 3x-3
MON = 4x+9
NOP = 90 right angle
3x-3+4x+9 = 90
Combine like terms
7x+6 =90
Subtract 6 from each side
7x+6-6=90-6
7x = 84
Divide each side by 7
7x/7 = 84/7
x =12
We need to find MOP
MOP = 3x-3
=3(12)-3
36-3
33
Answer:
<h2>17</h2>
Step-by-step explanation:
f(x) = 11 - 3x
f(-2) - <em>put x = -2 to the f(x):</em>
<em />
f(-2) = 11 - 3(-2) = 11 + 6 = 17