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e-lub [12.9K]
2 years ago
15

If the numbers 25, 30 ,40, 48 are in proportion, Middle terms are.....

Mathematics
1 answer:
zubka84 [21]2 years ago
3 0

Step-by-step explanation:

it is 5/6 ..............

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A candy dish contains 30 jelly beans and 20 gumdrops. Ten candies are picked at random. What is the probability that 5 of the 10
AveGali [126]

Answer:

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

Step-by-step explanation:

A hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws with each draw being a success or failure, without replacement from a finite population size that contains exactly the same objects. The general formula is given as:

h(x) =\frac{({A}C_{x})({N-A}C_{n-x})}{^{N}C_{n}  }

where:

^{n}C_{r}=\frac{n!}{(n-r)!r!}

h(x)  is the probability of x successes,

n is the number of attempts,

A is the number of successes  

N is the number of elements

For this problem:

A = 30, x = 5, N = 50, n = 10

The probability of drawing 5 gumdrops in 10 picks from the dish P(x=5) is

P(x=5)=\frac{({30}C_{5})({50-30}C_{10-5})}{^{50}C_{10}  }\\P(x=5)=\frac{({30}C_{5})({20}C_{5})}{^{50}C_{10}  }

P(x=5)=\frac{\frac{30!}{(30-5)!5!}*\frac{20!}{(20-5)!5!}  }{\frac{50!}{(50-10)!10!} }\\P(x=5)=\frac{\frac{30!}{25!5!}*\frac{20!}{15!5!}  }{\frac{50!}{40!10!} }

P(x=5)=\frac{142506*15504}{1.207*10^{10} }=0.215

P(x=5) = 0.215

The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215

4 0
3 years ago
Find the measure of A.18<br> B.54<br> C.36
prisoha [69]

Answer:

[A] 18

Explanation:

[I'm assuming you want us to find the measure of ∠ABC]

∠ABC is a right angle, meaning ∠ABD and ∠DBC added together must equal 90°

2x° + 3x° = 90

2x + 3x = 5x

5x = 90

5x / 5 = 90 / 5

x = 18

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3 years ago
Find the 13th term in the following arithmetic sequence <br><br> 2,5,8,11
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Answer:

answer is 38, since she keeps deleting my things

Step-by-step explanation:

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3 years ago
Money Flow The proceeds from the sale of a building will yield a uniform continuous flow of $10,000 a year for 10 years. Find th
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Answer:

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Step-by-step explanation:

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3 years ago
Find the solution to the system of linear equations.
natali 33 [55]

Answer:

     x = -1          y = 2

Step-by-step explanation:

Notice that the coefficients of x are opposites of each other.  That makes the problem so much easier to solve.  All you have  to do is add the two equations and the x terms will be eliminated.

2x - 4y = -10

<u>-2x - y = 0</u>

    - 5y = -10

        y = 2        Substitute y = 2 into the first equation.  2x - 4(2) = -10

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                                                                                               2x = -2

                                                                                                 x = -1

It is always a good idea to check your results into the equations to see if they satisfy the equations.

<u>    </u>

6 0
2 years ago
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