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Y_Kistochka [10]
4 years ago
6

What is the diameter of a circle with a circumference of 220 ft

Mathematics
1 answer:
tino4ka555 [31]4 years ago
4 0

Circumference of the circle is given as = 220 feet

We have to find the diameter.

Circumference is found as = 2 * PI * r

220=2*3.14*r

220=6.28r

r=35.03

Diameter is 2*radius

Diameter = 2\times35.03 = 70.06

Hence, diameter of the circle is 70.06 feet.

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The monthly salaries of a sample of 100 employees were rounded to the nearest ten dollars. they ranged from a low of $1,040 to a
never [62]
1720 - 1040 = 680
680/7 = 97.1

I would put them in intervals of 100




6 0
3 years ago
If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
Marta_Voda [28]

Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

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 "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

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!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

7 0
3 years ago
Read 2 more answers
Determine the value of n that makes the polynomial a perfect square trinomial. Then factor as the square of a binomial. Express
blsea [12.9K]

Answer:

Step-by-step explanation:

y^2-11y+n\\=(y-(11/2))^2+n-(11/2)^2

So in order the trinomial a perfect square we need

n-(11/2)^2 =0\\n= (11/2)^2\\n=\frac{121}{4}

When n is equal to this number that we have

y^2-11y+n = (y- (11/2))^2

6 0
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Which describes the amount of product the customers want to buy?
FromTheMoon [43]

Answer:

Demand

Step-by-step explanation:

Supply is what the stores have and demand is what the customers want

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Answer:

Step-by-step explanation:

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from the bottom to where the point is

From (0,0) to (4,3)

you rise 3 and run 4

So I think the Slope is 3/4

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