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valina [46]
3 years ago
7

The distance around a circular region is known as its________​

Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:

Circumference.

Step-by-step explanation:

The distance around a circle is its circumference.

The distance around a circular region is known as its CIRCUMFERENCE.

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Given that 6x – 5y = 14<br>Find x when y = 2​
Sloan [31]

Answer:

x = 4

Step-by-step explanation:

Given

6x - 5y = 14 ← substitute y = 2 into the equation

6x - 5(2) = 14

6x - 10 = 14 ( add 10 to both sides )

6x = 24 ( divide both sides by 6 )

x = 4

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spayn [35]

Answer:

x=4.4

Step-by-step explanation:

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Based on the picture..Find the area in terms of xFind the perimeter in terms of x
Vlad1618 [11]

The area of a rectangle is given by the product of its dimensions.

If this rectangle has a length of 2x + 7 and a width of x + 4, its area is:

\begin{gathered} \text{Area}=\text{length}\cdot\text{width} \\ \text{Area}=(2x+7)(x+4)_{} \\ \text{Area}=2x^2+8x+7x+28 \\ \text{Area}=2x^2+15x+28 \end{gathered}

The perimeter is the sum of all side lengths, so we have:

\begin{gathered} \text{Perimeter}=(2x+7)+(x+4)+(2x+7)+(x+4) \\ \text{Perimeter}=6x+22 \end{gathered}

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1 year ago
(story problem) Michael and Sally went to get ice cream after school. each of them brought an ice cream for $3.55, a bottle of w
Tcecarenko [31]
2(3.55+2.25+.55+2.30)= 17.30+2.30=19.60
7 0
3 years ago
Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we
klio [65]

Answer:

P(X>9) = 0.3593

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=25, p=0.3089)  

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

P(X)=(nCx)(p)^x (1-p)^{n-x}  

For this case we want this probability:

P(X >9)

And we can use the complement rule like this:

P(X>9) = 1-P(X \leq 8)= 1-[P(X=0) + P(X=1) +....+P(X=8)]And we can find the individual probabilities like this:

P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974  

P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011  

P(X=2) =(25C2)(0.3089)^2 (1-0.3089)^{25-2}=0.00584  

P(X=3) =(25C3)(0.3089)^3 (1-0.3089)^{25-3}= 0.02  

P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049  

P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092  

P(X=6)=(25C6) (0.3089)^6 (1-0.3089)^{25-6} = 0.138

P(X=7) =(25C7)(0.3089)^7 (1-0.3089)^{25-7}=0.167

P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"  

And we got:

P(X>9) = 0.3593

4 0
3 years ago
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