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3 years ago

Name the ordered pair that corresponds to an angle of a pi radians

Mathematics

1 answer:

olga2289 [7]3 years ago

7 0

Answer:

3π (540°) and 5π(900°)

Step-by-step explanation:

π radian = 180° degree

in the trigonimitrical cercle each point is taken by many values

so π position is also -π position

to move from π to -π you should move 360° (wich is 2π) backwards

π-2π = π

so -π = π +2π

you can get as much as you can of values similar to π using the formula :

π + 2*k*π where k is a relative number

π+ 2*1*π = 3π

π+2*2*π = 5π

3π is 540°

5π is 900°

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Which equation could have been used to create this table?

Sophie [7]

Answer:

y = 2x because they all have the same pattern of y = 2x

3 0

3 years ago

Read 2 more answers

Alicia uses 3/4 gallon of paint to paint her room. Becca uses for 4/5 gallon more than Alicia to paint her room. How many gallon

Maurinko [17]

Answer:

23/10 gallons

Step-by-step explanation:

Alicia uses 3/4 gallon of paint to paint her room.

Alicia use = 3/4 gallon of paint

Becca uses for 4/5 gallon more than Alicia to paint her room.

Becca uses = Alicia (3/4 gallons ) + 4/5

Becca uses = $\frac{3}{4} + \frac{4}{5}$

Total paint used together = Aliccia used + Becca used

$\frac{3}{4}+\frac{3}{4} + \frac{4}{5}$

Add like fractions 3/4 + 3/4 becomes 6/4

$\frac{6}{4} + \frac{4}{5}$

Make the denominators same

$\frac{6*5}{4*5} + \frac{4*4}{5*4}$

$\frac{30}{20} + \frac{16}{20}$

$\frac{46}{20}$

Divide top and bottom by 2

$\frac{23}{10}$ gallons

6 0

3 years ago

USA Today reported that about 20% of all people in the United States are illiterate. Suppose you take eight people at random off

Law Incorporation [45]

Answer:

a) Figure and code attached

b) $E(X)=\mu = np = 8*0.2= 1.6$

$Var(X) =\sigma^2= np(1-p) = 8*0.2*(1-0.2) = 1.28$

$Sd(X)=\sigma= \sqrt{1.28}= 1.131$

c) $P(X\geq 7) =0.97$

And we can calculate this with the complement rule.

$P(X \geq 7) = 1-P(X$

So then we have:

$P(X \leq 6) = 0.03$

And we are interested on the valueof n who satisfy this expression.

And for this we can verify this with the following code:

"=BINOM.DIST(6,E54,0.2,TRUE)"

And as we can see on the second figure attached the value who satisfy the condition would be n = 60.

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".

Solution to the problem

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

$X \sim Binom(n=8, p=0.2)$

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:

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

Part a

We can use the following R code to generate the histogram for this case:

> x <- seq(0,8,by = 1)

> y <- dbinom(x,8,0.2)

> plot(x,y,type = "h",main="Histogram")

And as we can see we got the result on the figure attached. And the distribution seems to be skewed to the right.

Part b

For this case the expected value is given by:

$E(X)=\mu = np = 8*0.2= 1.6$

The variance is given by:

$Var(X) =\sigma^2= np(1-p) = 8*0.2*(1-0.2) = 1.28$

And the standard deviation would be:

$Sd(X)=\sigma= \sqrt{1.28}= 1.131$

Part c

For this case we have the following inequality:

$P(X\geq 7) =0.97$

And we can calculate this with the complement rule.

$P(X \geq 7) = 1-P(X$

So then we have:

$P(X \leq 6) = 0.03$

And we are interested on the valueof n who satisfy this expression.

And for this we can verify this with the following code:

"=BINOM.DIST(6,E54,0.2,TRUE)"

And as we can see on the second figure attached the value who satisfy the condition would be n = 60.

5 0

3 years ago

Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system, and orders an ins

AVprozaik [17]

Answer: 17.89

Step-by-step explanation:

In binomial distribution, the standard deviation is given by :-

$\sigma=\sqrt{np(1-p)}$

As per given , we have

The number of vouchers in the sample with errors is denoted by x.

p= 0.20 , n = 2000

Then , $\sigma=\sqrt{2000\times(0.2)(1-0.2)}$

$\sigma=\sqrt{320}=17.88854382\approx17.89$

Hence, the standard deviation of x is 17.89.

6 0

3 years ago

What is a conversion factor that you can use to convert gallons to pints? How did you find it?

dalvyx [7]

You use 1 gallon is equal to 8 pints

7 0

3 years ago