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ICE Princess25 [194]
3 years ago
11

The equation x 2 + y 2 − 4 x + 2 y = b x 2 +y 2 −4x+2y=b describes a circle. determine the y coordinate of the center of a circl

e
Mathematics
2 answers:
Gelneren [198K]3 years ago
8 0

Answer:

-1

Step-by-step explanation:

x²+y²-4x+2y=b

x²-4x+4+y²+2y+1=b+4+1

(x-2)²+(y+1)²=b+5

center is (2,-1)

Elan Coil [88]3 years ago
4 0

Answer

Here’s a graph. Hope this helps.

Step-by-step explanation:

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if the corresponding sides of 2 quadrilaterals are propotional, then the 2 quadrilaterals must be similar
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5 0
3 years ago
When 258 college students are randomly selected and surveyed, it is found that 106 own a car. Find a 99% confidence interval for
juin [17]

Answer: 0.332 < p < 0.490

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where n= sample size

\hat{p} = sample proportion

z* = critical z-value.

As per given , we have

n= 258

Sample proportion of college students who own a car = \hat{p}=\dfrac{106}{258}\approx0.411

Critical z-value for 99% confidence interval is 2.576. (By z-table)

Therefore , the  99% confidence interval for the true proportion(p) of all college students who own a car will be :0.411\pm (2.576)\sqrt{\dfrac{0.411(1-0.411)}{258}}\\\\=0.411\pm (2.576)\sqrt{0.00093829}\\\\= 0.411\pm (2.576)(0.0306315197142)\\\\=0.411\pm 0.0789=(0.411-0.0789,\ 0.411+0.0789)\\\\=(0.3321,\ 0.4899)\approx(0.332,\ 0.490)

Hence, a 99% confidence interval for the true proportion of all college students who own a car : 0.332 < p < 0.490

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3 years ago
if Pedro were 7.5 cm taller he would be twice as tall as Ian. Ian is 74.25 cm tall so how tall is Pedro?
Afina-wow [57]
Pedro is 141 cm tall.
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3 years ago
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