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2 years ago

Find the endpoint if A (5,-2) and the midpoint is B (3,6), what is C

Mathematics

1 answer:

Zinaida [17]2 years ago

3 0

Answer:

C = (1, 14 )

Step-by-step explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

Find the average of endpoints and equate to coordinates of midpoint

A (5, - 2 ) , let C = (x, y ) , then

$\frac{x+5}{2}$ = 3 ( multiply both sides by 2 )

x + 5 = 6 ( subtract 5 from both sides )

x = 1

and

$\frac{y-2}{2}$ = 6 ( multiply both sides by 2 )

y - 2 = 12 ( add 2 to both sides )

y = 14

Coordinates of C = (1, 14 )

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When n=343 college students are randomly selected and surveyed, it is found that x=110 own a car. Find a 99% confidence interval

Liono4ka [1.6K]

Answer:

The margin of error will be "0.65". A further explanation is provided below.

Step-by-step explanation:

The given values are:

n = 343

x = 110

At 99% confidence level,

$\alpha = 1-99$ %

$=1-0.99$

$=0.01$

then,

$\frac{\alpha}{2} =\frac{0.01}{2}$

$=0.005$

or,

$Z_{\frac{\alpha}{2} }=Z_{0.005}$

$=2.576$

Now,

The point estimate will be:

⇒ $\hat{P}=\frac{x}{n}$

⇒ $=\frac{110}{343}$

⇒ $=0.321$

or,

⇒ $1-\hat{P}=1-0.321$

⇒ $=0.679$

The margin of error will be:

⇒ $E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )$

On substituting the above values, we get

⇒ $=2.576\times \sqrt{\frac{0.321\times 0.679}{343} }$

⇒ $=2.576\times \sqrt{\frac{0.217959}{343} }$

⇒ $=0.065$

hence,

⇒ $\hat{P}-E$

⇒ $0.321-0.065$

⇒ $0.256,0.386$

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2 years ago

~Please help as soon as possible~

Sindrei [870]

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well the is a 1:4 Faculty:trainee ratio
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3 years ago

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Answer:

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2 years ago

Read 2 more answers

Veronica has been saving dines and quarters. she has 94 coins in all and the total value is $19.30. How many dimes and quarters

Murrr4er [49]

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