<em>Hexagonal</em> implies that the <em>traffic sign</em> has six straight sides. But <u>dilating</u> it changes its <em>length</em> of sides, but not its angles. So that the <em>statement</em> that is <u>true</u> is option B.
i.e B. The <u>dilated</u> sign will have corresponding line segments that are <em>proportional</em> to those of the pre-image and <u>corresponding</u> angles that are congruent to that of the pre-image.
Dilation involves <u>increasing</u> or <u>decreasing</u> the line segments of a given shape by a <em>scale factor</em>. This process do not affect the measure of the internal <u>angles</u> of the shape.
Given a <u>hexagonal</u> traffic sign in the question, this implies that the traffic sign has six sides. <u>Dilating</u> it by a scale factor of 2.5 about its center would affect its <em>length</em> of sides. So that the <em>statement</em> that is <u>true</u> is option B.
i.e B. The dilated sign will have <u>corresponding</u> line segments that are proportional to those of the pre-image and <em>corresponding</em> angles that are congruent to that of the pre-image.
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Answer:
Gertrude's favorite is <em>George Burn</em>
What we know from the beginning:
<u>Comedians</u>:
- George Burn
- Jack Benny
- David Letterman
- Jerry Springfield
<u>Lucy</u>: Jerry Springfield is her favorite
<u>David</u>: Does not like David Letterman
<u>Gertrude</u>: Does not like David Letterman, Does not like Jack Benny anymore
Solving:
- Since we know that <em>Jerry Springfield is Lucy's favorite</em>, he is not longer an option. This leaves George Burn, Jack Benny, and David Letterman.
- David and Gertrude do not like <em>David Letterman</em>, so he must be <em>Jose's favorite</em>. This leaves George Burn and Jack Benny
- Gertrude does not like Jack Benny anymore, so the only one left to be <em>her favorite is George Burn</em>
Replace x with x+3:
f(x+3) = (x+3)²
which is x² translated 3 units left
Answer:
a) Percentage of students scored below 300 is 1.79%.
b) Score puts someone in the 90th percentile is 638.
Step-by-step explanation:
Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.
(a) If the average test score is 510 with a standard deviation of 100 points.
To find : What percentage of students scored below 300 ?
Solution :
Mean 
,
Standard deviation 
Sample mean 
Percentage of students scored below 300 is given by,
Percentage of students scored below 300 is 1.79%.
(b) What score puts someone in the 90th percentile?
90th percentile is such that,
Now, 
Score puts someone in the 90th percentile is 638.
Answer: Option C.
Step-by-step explanation:
The coordinates (x,y) of a terminal point for an angle θ are:
x = cos(θ) and y = sin(θ).
In this case, we have θ = 330°.
Then we have:
x = cos(330°) = 0.866 = (√3)/2
y = sin(330°) = -0.5 = -1/2
then the coordinates of the terminal point are ((√3)/2, -1/2)
Then the correct option is c.
