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4 years ago

Gregory knows that ABC is reflected onto ABC which statement about the figure is true

Mathematics

1 answer:

AVprozaik [17]4 years ago

4 0

Answer:

Option a is right

Step-by-step explanation:

Given that a triangle ABC is reflected in triangle A'B'C'

Here reflection is done on a line

If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'

Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror

But note that corresponding images will only be perpendicular bisector to the line of reflection,

So A and A' only will be corresponding so AA' will have mid point on line

Option 1 is right

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Answer:

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:

Null hypothesis: $p\leq 0.5$

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Step-by-step explanation:

Information provided

n=100 represent the random sample ofcollege senior selected

X=53 represent the college seniors who say good

$\hat p=\frac{53}{100}=0.53$ estimated proportion of seniors who think their job prospects are good

$p_o=0.5$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we have:

$z=\frac{0.53 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=0.6$

The p value for this case would be given by

$p_v =P(z>0.6)=0.274$

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