Answer:
Where and
So then we can find in the normal standard distribution or in excel a value of Z who accumulates 0.25 of the area below and 0.75 of the area above. We can use the following excel code for example:
="NORM.INV(0.25,0,1)"
And we got = z= -0.674.
So the value of height that separates the bottom 25% of data from the top 75% is -0.674 °C.
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 readings at freezing of a population, and for this case we know the distribution for X is given by:
Where and
So then we can find in the normal standard distribution or in excel a value of Z who accumulates 0.25 of the area below and 0.75 of the area above. We can use the following excel code for example:
="NORM.INV(0.25,0,1)"
And we got = z= -0.674.
So the value of height that separates the bottom 25% of data from the top 75% is -0.674 °C.
Answer:
C.) 1953 square meters.
Step-by-step explanation:
I see the rope length is 125 meters from calculating
2x + b = rope length
and y = area = x * b
I see 2x + b = 125
b = 125 - 2x
y = x*(125 - 2x)
maximize 125 - 4x = 0
x = 125/4 = 31.25 meters
so max area = y = 31..25*(125 - 2*31.25) = 1,953.125 square meters
The answer is c hope this helps!!!
Answer:
65
Step-by-step explanation:
150-(4^2+4)/2
150-(16+4)/2
150-(20)/2
130/2=65
It needs to rotate about it's center 1/12th of a full circle (i.e 1/12th of 360 degrees)
360/12 = 30
<u><em> . . . angle = 30 degree rotation</em></u>