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MakcuM [25]
3 years ago
12

n a certain congressional district, it is known that 60% of the registered voters classify themselves as conservatives. If ten r

egistered voters are selected at random from this district, what is the probability that four of them will be conservatives
Mathematics
1 answer:
Nitella [24]3 years ago
3 0

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6

The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4

Given n = 10, we want to determine P(x = 4)

From the binomial distribution calculator,

P(x = 4) = 0.11

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A partial sum of an arithmetic sequence is given. Find the sum.
Nezavi [6.7K]

Answer:

72.3

Step-by-step explanation:

Given that:

The arithmetic sequence:

\sum \limits ^{14}_{k=0} (3 + 0.26k)

The first term of the sequence a_0 = 3 since k = 0

i.e (3 + 0.26(0)) = 3

The last term of the sequence a_{14} = 6.64

i.e (3+ 0.26(14)

= (3 + 3.64)

= 6.64

Total no of terms = 15 i.e from 0 to 14

∴

The partial sum of the arithmetic sequence = \dfrac{Total \ no \ of \ terms }{2}  \times (a_o+a_{15})}

=\dfrac{15 }{2}  \times (3+6.64)}

= 72.3

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3 years ago
Roscoe rides his bike at least 10 miles but not more than 30 miles. He rides at an average rate of 10.5 miles per hour. The amou
zheka24 [161]

Actually, the domain is the possible set of input values of a function that will make the function fit the specific criteria. In this case, the input value is m, where m is the number of miles that is travelled. The criteria is to travel at least 10 miles but not more than 30 miles, therefore the domain should be:

 

All real numbers from 10 to 30, inclusive

 

(should be real numbers not integer since any fractional number is included in the domain)

 

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4 years ago
Brad has two lengths of copper pipe to fit together. one has a length of 2 5/12 feet and the other has a length of 3 7/12 feet.
elena-s [515]
To find all of the feet of pipe that Brad has, you add both of the lengths of the pipes together. So 2 5/12+3 7/12. Add the numbers together first, 5. Then add the fractions, 5/12+7/12=1. So add 5 and 1 and you get 6 feet of pipe. Hope this helps. 
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Answer:

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Step-by-step explanation:

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Substituting this into our equation

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