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3 years ago

What is the equation of the circle with center (-3.2,2.1) and radius 4.3?

Mathematics

2 answers:

Nutka1998 [239]3 years ago

8 0

$(x+3.2)^2+(y-2.1)^2=4.3^2$

marissa [1.9K]3 years ago

8 0

Answer:

$(x+3.2)^2+(y-2.1)^2=(4.3)^2$

Step-by-step explanation:

It is given that the center of the circle is (-3.2,2.1) and radius is 4.3.

Now, the equation of the circle with center (a,b) and the radius 'r' is represented as:

$(x-a)^2+(y-b)^2=r^2$

Now, the given center is (-3.2,2.1) and radius is 4.3, thus the equation of the circle becomes,:

$(x-(-3.2))^2+(y-2.1)^2=(4.3)^2$

$(x+3.2)^2+(y-2.1)^2=(4.3)^2$

Which is the required equation.

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Which explicit and recursive formulas match the geometric sequence 5, 15, 45, 135...?

lisov135 [29]

Answer:

155

Step-by-step explanation:

because he's skipping

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3 years ago

If the discriminant if a qudratic equation is 4, which statement describes the roots?

pochemuha

Answer:

see explanation

Step-by-step explanation:

The value of the discriminant determines the nature of the roots

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

Here b² - 4ac = 4 > 0

Hence roots are real and distinct

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3 years ago

A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Con

marishachu [46]

Answer:

(i) 0.15708

(ii) 0.432488

(iii) 3

Step-by-step explanation:

Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.

There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.

As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.

Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.

So, p=1-0.99=0.01

According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is

$P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)$

(i) The total number of persons randomly selected, n=400.

The probability that exactly 5 of them did not see a doctor

So, r=5 , p=0.01

Using equation (i),

$P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}$

$=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}$

=0.15708

(ii) The probability that fewer than four of them did not see a doctor

$=P(r$

$=P(r=0)+P(r=1)+P(r=2)+P(r=3)$

$=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}$

$=0.017951+0.072527+0.146154+0.195856$

$=0.432488$

(iii) The expected number of people who would not see a doctor

$=np$

$=300\times 0.01$

7 0

3 years ago

Which is the best estimate of 162% of 79?

LUCKY_DIMON [66]

First, you round your numbers:

162% to 160

and

79 to 80

I would divide 160 (%) by 80 which, obviously, is 2

My best estimate would be 2

Hope this helps!

(If you have any questions about how i got this answer, feel free to ask in the comments. Also, if you find this answer helpful, please consider marking it brainliest, Thanks!)

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3 years ago

Read 2 more answers

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FrozenT [24]

Answer:yes

Step-by-step explanation:

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3 years ago