PLZ Help fast. It's Pre Calculus. This is the only day i get to spend time with my baby sister. please help fast. WILL MARK BRAI
2 answers:
Answer:
Step-by-step explanation:
Given is the polynomials as
1)
The graph of this function has x intercepts as
-2, -1 and 0
Since f(x) =0 has solutions equivalent to x intercepts we see that the roots are
-2,-1 and 0
2) Given is a polynomial as
Using rational roots theorem we find that
the roots possible are ±1.±2,±4,±5,±10,±20,±1/2,±5/2
Using remainder theorem we see that
f(2) =f(-2)=0
By using division, we find that the other factor is 2x+5
Hence roots are 2,-2, -2.5
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The best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.
<h3>What is solid of revolution?</h3>When a figure is revolved around some fixed axis, the whole three dimensional solid formed from the area that it swaps out is called solid of revolution.
Since no image is specified, we will work on the image attached below.
We can visualize and imagine that the horizontal line is still and just rotating on its place. The rectangle will revolve around, and therefore will swap out a cylindrical shape.
Since the length of the rectangle is 24 cm, and it is rotated on its length, so that will serve as height of the formed cylinder.
Thus, the best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.
Learn more about solid of revolution here:
Answer:
a)
And we can find this probability like this:
b)
And using the z score we got:
c)
And if we use the continuity correction we got:
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".
Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.
Part a
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
Part a
For this case we want to find this probability:
And if we use the z score given by:
We got this:
And we can find this probability like this:
Part b
For this case we want this probability:
And if we use the continuity correction we got:
And using the z score we got:
Part c
For this case we want this probability:
And if we use the continuity correction we got: