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3 years ago

3. Fill in the blanks with center, circle, directrix, focus, line, parabola, or radius.

2 answers:

6 0

A ___line___ is the set of all points that are equidistant from two points.

A ___circle___ is the set of all points that are equidistant from a given point. The given point is called the ____center____. The segment showing the distance is called the ____radius____.

A ___parabola____ is the set of all points equidistant from a single point and a single line. The single point is called the ____focus____ and the single line is called the ____directix_____.

julsineya [31]3 years ago

6 0

Answer and Step-by-step explanation:

A line is the set of all points that are equidistant from two points.

Because line is the set of line which two points and it can be extended from both the sides.

So, there are no end points.

A Circle is the set of all points that are equidistant from a given point. The given point is called the centre . The segment showing the distance is called the radius.

Circle is the set of points equidistant from the centre and distance between centre and any point on circumference of circle is known as radius.

A parabola is the set of all points equidistant from a single point and a single line. The single point is called the focus and the single line is called the directrix.

Parabola is equidistant from focus and directrix.

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Sam has eight shells and thandeka has 12 shells .what is the ratio ,in simplest form ,of Sam's shells to thandeka's shells?

loris [4]

Answer:

I think that's the answer

8 0

3 years ago

In the united states, voters who are neither democrat nor republican are called independent. it is believed that 12% of voters a

Nitella [24]

Answer:

a) 0.0245 = 2.45%

b) 0.9483 = 94.83%

c) 0.6931 = 69.31%

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are independent, or they are not. The probability of a person being independent is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

It is believed that 12% of voters are independent.

This means that $p = 0.12$

Survey of 29 people

This means that $n = 29$

a. what is the probability that none of the people are independent? probability =

This is P(X = 0). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

0.0245 = 2.45% probability that none of the people are independent

b. what is the probability that fewer than 7 are independent? probability =

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{29,0}.(0.12)^{0}.(0.88)^{29} = 0.0245$

$P(X = 1) = C_{29,1}.(0.12)^{1}.(0.88)^{28} = 0.0971$

$P(X = 2) = C_{29,2}.(0.12)^{2}.(0.88)^{27} = 0.1853$

$P(X = 3) = C_{29,3}.(0.12)^{3}.(0.88)^{26} = 0.2274$

$P(X = 4) = C_{29,4}.(0.12)^{4}.(0.88)^{25} = 0.2016$

$P(X = 5) = C_{29,5}.(0.12)^{5}.(0.88)^{24} = 0.1374$

$P(X = 6) = C_{29,6}.(0.12)^{6}.(0.88)^{23} = 0.0750$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0245 + 0.0971 + 0.1853 + 0.2274 + 0.2016 + 0.1374 + 0.0750 = 0.9483$