Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,
z = (x - mean)/Standard deviation
From the information given,
mean = 68
standard deviation = 2.5
The probability that the height of a selected adult is between 63 and 73 is expressed as
For x = 63,
z = (63 - 68)/2.5 = -2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
For x = 73,
z = (73 - 68)/2.5 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.97725
Therefore,
Thus, the percentage of men are between 63 and 73 is
0.9545 * 100 = 95.45%
Rounding up to the nearest percentage, the answer is 95%
X would have to be less than 12, y would have to be less than 6. So a graph displaying x less than or equal to 12 and y less than or equal to 6.
You would multiply 6 × 5 and you would get 30.
better explanation : solution would be A = B H = 6 × 5 which would give you 30ft²
Answer:
Answer is option "a" i.e.
Step-by-step explanation:
sin2Ф = 2sinФ.cosФ
So, we need values of sinФ and cosФ but we are given secФ. We can find sinФ and cosФ with the help of secФ first by finding all sides of triangle and then by using Pythagorean theorem.
Given that,
secФ = -4/3
While,
secФ = hypotenuse/base
Hence,
<u>length of hypotenuse = 4</u>
<u>length of base = 3</u>
To find perpendicular we'll use Pythagorean theorem:
(hyp)² = (base)² + (perp)²
<u>length of perpendicular = √7</u>
Now, to find sinФ and cosФ
sinФ = perp/hyp
<u>sinФ = √7/4</u>
cosФ = base/hyp
<u>cosФ = 3/4</u>
<h3>
<u>Finally to find sin2Ф</u></h3>
sin2Ф = 2sinФ.cosФ
<h3>
<u>negative sign of sin2Ф</u></h3>
As 90≤Ф≤180
So multiplying it by 2
180≤Ф≤360
which is 3rd and 4th coordinate in which sin has negative value.
The correct step in constructing a congruent line segment is C, D, B, A
<h3>How to construct congruent line segments:</h3>
The step in constructing a congruent line segment is that we first create a line longer than the actual length.
The second step is to use the compass to measure the distance between the former length(actual length), Let's say A to B.
Then, we will place the compass on the new length between a point at the intersection of the arc and the segment. Now, we can have a congruent line segment C to D.
We then check the validity of the line segments C to D by using a straightedge and comparing it to A → B.
Learn more about constructing congruent line segments here:
brainly.com/question/16733867
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