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e-lub [12.9K]
3 years ago
8

The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?

Mathematics
2 answers:
luda_lava [24]3 years ago
7 0
<h3>Answer:  Choice C.   (-1, -5)</h3>

Explanation:

The reflection rule we use is

(x,y) \to (-x, y)

when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.

Therefore, (1, -5) \to (-1, -5)

Debora [2.8K]3 years ago
4 0
The answer is c ...........
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What is the smallest rotation clockwise about the center of the figure that will carry the entire figure onto itself.
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Step-by-step explanation:

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In the case of an octagon, the angle is 360° / 8 = 45°.

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What is the difference between the two graphs at X = -3
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Answer:

5

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3 years ago
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4 years ago
According to a study conducted by the Toronto-based social media analytics firm Sysomos, of all tweets get no reaction. That is,
Svetllana [295]

Answer:

a) E(X) = 71

b) V(X) = 20.59

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Step-by-step explanation:

<em>The question is incomplete:</em>

<em>According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015). </em>

<em> Suppose we randomly select 100 tweets. </em>

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<em>b) What are the variance and standard deviation for the number of these tweets with no reaction?</em>

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

E(X)=n\cdot p=100\cdot 0.71=71

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59

Then, the standard deviation becomes:

\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538

5 0
3 years ago
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