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3 years ago

On a coordinate plane, point AS

Mathematics

1 answer:

nlexa [21]3 years ago

3 0

Answer:

√1370 or about 37.01

Step-by-step explanation:

use distance formula

√(x2-x1)^2+(y2-y1)^2

sqrt(8-7)^2+(41-4)^2

sqrt(1)^2+(37)^2

sqrt 1+1369

sqrt 1370

= about 37. 01

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How can postulates and theromes relating to similar and congruent triangles be used to write a proof

klasskru [66]

As per this theorem the two triangles are congruent if two angles and a side not between these two angles of one triangle are congruent to two corresponding angles and the corresponding side not between the angles of the other triangle.

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3 years ago

A statistic is said to be unbiased if

xxMikexx [17]

Answer:

A statistic is said to be unbiased if the mean of its sampling distribution is equal to the true value of the parameter being estimated.

Step-by-step explanation:

A parameter is a number that describes the population.

A statistic is a number that describes a sample.

A statistic used to estimate a parameter is unbiased if the mean of its sampling distribution is exactly equal to the true value of the parameter being estimated. For example, the mean of a sample is an unbiased estimate of the mean of the population from which the sample was drawn.

A statistic is biased if its expected value is not equal to the parameter.

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3 years ago

How to tell if a function has a vertical asymptote

diamong [38]

Answer:

For a rational function, set the denominator equal to zero. Whatever value of x that makes the denominator equal to zero corresponds to the vertical asymptote.

Step-by-step explanation:

4 0

3 years ago

Based on aâ poll, among adults who regret gettingâ tattoos, 18â% say that they were too young when they got their tattoos. Assum

Sergeeva-Olga [200]

Answer:

a) 20.44% probability that none of the selected adults say that they were too young to get tattoos.

b) 35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c) 56.34% probability that the number of selected adults saying they were too young is 0 or 1.

d) No

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they say they were too young when they got their tattoos, or they don't say that. Each adult is independent of each other. 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.

18% say that they were too young when they got their tattoos.

This means that $p = 0.18$

Eight adults who regret getting tattoos are randomly selected

This means that $n = 8$

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

This is P(X = 0).

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

$P(X = 0) = C_{8,0}.(0.18)^{0}.(0.82)^{8} = 0.2044$

20.44% probability that none of the selected adults say that they were too young to get tattoos.

b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

This is P(X = 1).

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

$P(X = 1) = C_{8,1}.(0.18)^{1}.(0.82)^{7} = 0.3590$

35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c. Find the probability that the number of selected adults saying they were too young is 0 or 1.

Either a. or b.

20.44 + 35.90 = 56.34

56.34% probability that the number of selected adults saying they were too young is 0 or 1.

d. It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?

Now $n = 9$

It is significantly low if it is more than 2.5 standard deviations below the mean.

The mean is $E(X) = np = 9*0.18 = 1.62$

The standard deviation is $\sqrt{V(X)} = \sqrt{n*p*(1-p)} = \sqrt{9*0.18*0.82} = 1.15$

1 > (1.62 - 2.5*1.15)

So the answer is no.

5 0

3 years ago

PLEASE HELP I GIVE THANKS

ohaa [14]

Take one of the points in the table,

like x=1 y=5
or x=2 y=7

Write them into one of the choices on the list,
and see if the result is true.

For example,

-- Take the line in table that says x=1 y=5.

-- And take the first choice on the list y = x + 3 .

-- Write '1' in place of 'x', and write '5' in place of 'y'.

-- Then you have <u>5 = 1 + 3</u> .

Is this true ? I don't think so.
So the first choice on the list can't be correct.

Try thesame point x=1 y=5 with the other choices.
You'll find one that IS correct, and that's the answer.

4 0

3 years ago