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azamat
2 years ago
10

There are 24 female performers in a dance recital. The ratio of men to women is 3:4. How many men are there in the dance recital

?
Mathematics
2 answers:
erik [133]2 years ago
6 0

Answer:

There are 18 men at the dance recital.

Step-by-step explanation:

3:4

X:24

24/4=6

6x3=18

18:24

Verdich [7]2 years ago
4 0
There would be 32 men in the dance recital.
24/3 = 8
8 times 4 = 32
24/32 = 3/4
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53​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
faltersainse [42]

Answer:

a

   P(X = 5) = 0.2423

b

    P( X \ge  6 )=  0.4516

c

   P( X <  4 )=  0.12694

Step-by-step explanation:

From the question we are told that

   The population proportion is   p = 0.53

    The sample size is  n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators        

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly​ five is mathematically represented as

     P(X = 5) =  ^{10}C_5 *  0.53^5 *  (1- 0.53)^{10-5}

=>  P(X = 5) =  252 * 0.04182 *  0.023

=>  P(X = 5) = 0.2423

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  at least​ six is mathematically represented as

  P( X \ge  6 )=  P( X  = 6) +  P( X  = 7) +  P( X  = 8) +  P( X  = 9) +  P( X  = 10)

=> P( X \ge  6 )=  [^{10}C_6 *  [0.53]^6 *  (1- 0.53)^{10-6}] +  [^{10}C_7 *  [0.53]^7 *  (1- 0.53)^{10-7}] +  [^{10}C_8 *  [0.53]^8 *  (1- 0.53)^{10-8}] +  [^{10}C_9 *  [0.53]^9 *  (1- 0.53)^{10-9}] + [^{10}C_{10} *  [0.53]^{10} *  (1- 0.53)^{10-10}]

=> P( X \ge  6 )=  [0.227] +  [0.1464] +  [0.0619] +  [0.0155] + [0.00082]

=> P( X \ge  6 )=  0.4516

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  less than four is mathematically represented as

    P( X <  4 )=  P( X  = 3) +  P( X  = 2) +  P( X  = 1) +  P( X  = 0)

=>  P( X <  4 )=  [^{10}C_3 *  0.53^3 *  (1- 0.53)^{10-3}] +  [^{10}C_2 *  0.53^2 *  (1- 0.53)^{10-2}] +  [^{10}C_1 *  0.53^1 *  (1- 0.53)^{10-1}] +  [^{10}C_0 *  0.53^0 *  (1- 0.53)^{10-0}]

=>  P( X <  4 )=  0.09051  +  0.03 +  0.0059 +  0.000526

=>  P( X <  4 )=  0.12694

5 0
3 years ago
Which is NOT true?<br> A. 16 + 3 = 11 + 8<br> B. 16 = 16<br> C. 16 - 4 = 7 + 6<br> D. 16 = 19 - 3
Yuliya22 [10]

Answer:

A

Step-by-step explanation:

16+3:19

11+8:19

19=19

6 0
3 years ago
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Sasha is planning to create a garden with area 30 m2. She could use a
son4ous [18]

Answer:

Circle requires ≈ 20 m of edging

Step-by-step explanation:

A = πR²

R = √(A/π)

C = 2πR = 2π√(A/π)

C = 2π√(30/π) = 19.41625... ≈ 20 m

square needs ≈ 22 m of edging

equilateral triangle needs ≈ 25 m of edging

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2 years ago
What is the center of the data?
Leto [7]

Answer:

2

Step-by-step explanation:

8+6+4+2+1 =21

Total 21 dots/observations

Centre at 11th dot which corresponds to 2

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Alik [6]

Answer:

no they are not proportional and the graph would be at points (1, 3) (5, 9)

Step-by-step explanation:

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8 0
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