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3 years ago

HELP!!! 10 POINTS OFFERED!!THIS IS MY LAST QUESTION!!

Mathematics

1 answer:

Sladkaya [172]3 years ago

4 0

Answer:

A (-2,8) B (-1,5) C (-6,2)

A(-2,-7) B(-5,-8) C(-8,-3)

Step-by-step explanation:

x,y x,y x,y

A(7,-2) , B(8,-5) , C(3,-8)

translation (7-9),(-2+10) (8-9),(-5+10) ( 3-9),(-8+10)

(x-9) and (y+10) (-2,8) (-1,5) (-6,2)

when rotation 270 degrees counterclockwise around the origin:

A(x,y ) Then A'(-y,x) means switch x and y and make x negative

A(7,-2 ) rotation 270 degrees counterclockwise (-2,-7)

B(8,-5) to (-5,-8)

C(3,-8) to (-8,-3)

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Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

$\hat p=\frac{502}{1045}=0.480$ estimated proportion of college graduates with a mentor

$p_o=0.42$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:

Null hypothesis: $p \leq 0.42$

Alternative hypothesis: $p > 0.42$

The statistic is given by:

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

Replacing the info we got:

$z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930$

The p value for this case would be given by:

$p_v =P(z>3.930)=0.0000443$

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3 years ago