A new cell tower is being constructed and needs a guy-wire connected 180 feet up the tower and it needs to make an angle of 52°
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The equation of the parabola in the vertex form is y = (x - 3 - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
In the above question, A parabolic equation is given as follows:
Y = x^2 - 6x + 4
The equation of the parabola in the vertex form is :
y = a (x - h + k
Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex
So, in order to obtain this form, we will use the method of completing square :
Y = x^2 - 6x + 4
y = - 6x + (9 -9) + 4
y = (x - 3 + ( -9 + 4)
y = (x - 3 - 5
where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier
Hence, The equation of the parabola in the vertex form is y = (x - 3 - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
To learn more about, parabola, here
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Answer:
At least 547 records need to be studied.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of .
And the margin of error is:
95% confidence interval
So , z is the value of Z that has a pvalue of
, so
.
In this problem, we have that:
At least 547 records need to be studied.
Answer:
Letter B matches the probability.
Step-by-step explanation:
Lucy throws a fair six sided dice.
Probability of the dice landing on a number between 1 and 6 =
=
On a number line fraction can be represented by,
An small section (A to B) will represent the fraction =
Therefore, letter B will match the probability of a dice landing on a number between 1 and 6.