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2 years ago

GEOMETRY)

Mathematics

1 answer:

crimeas [40]2 years ago

8 0

Part 1

By the inscribed angle theorem, arc PA measures 62 degrees.

Part 2

Angles inscribed in the same arc are congruent, so angle PRA measures 31 degrees.

Part 3

Diameters form semicircles, and the arc of a semicircle measures 180 degrees, so arc PAR measures 180 degrees.

Part 4

Subtracting arc PA from arc PAR, we get arc AR measures 118 degrees.

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Please help ! thank you :)

faltersainse [42]

Answer:

A,B,and C

Step-by-step explanation:

Hopefully this helps!

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3 years ago

#3 please. Thank you

Gre4nikov [31]

Experimental, a 7 out of 40 chance, add all of the results together and take the result of the diamond and fraction it with the whole like this 7/40, 31/40, much the same as b, 0/40 chance, because there is no stare in the cards.

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4 years ago

At NC State University, 16.4% of the undergraduate classes have more than 50 students. If a random sample of 200 undergraduate c

Lena [83]

Answer:

We need to check the conditions in order to use the normal approximation.

$np=200*0.164=32.8 \geq 10$

$n(1-p)=200*(1-0.164)=167.2 \geq 10$

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The mean is given by:

$p =0.164$

And the deviation is given by:

$\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262$

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=200, p=0.164)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

We need to check the conditions in order to use the normal approximation.

$np=200*0.164=32.8 \geq 10$

$n(1-p)=200*(1-0.164)=167.2 \geq 10$

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The mean is given by:

$p =0.164$

And the deviation is given by:

$\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262$

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

6 0

3 years ago

Hayden is creating triangles using plastic straws cut to various lengths for the sides. Which set of straw lengths can he use to

balandron [24]

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

A scalene triangle is a triangle in which all the three sides of the triangle have different lengths hence, all the angles of the triangle also have different lengths.

Therefore the set of straw lengths that can be used a scalene triangle must have different lengths, for example:

5, 7 , 8

7 0

3 years ago

Write a function that represents the situation. Find the balance A in the account after the given time period t. $6200 deposit t

MaRussiya [10]

Answer: