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3 years ago

What is the value of X?

Mathematics

1 answer:

faltersainse [42]3 years ago

4 0

Answer:

x = 2

Step-by-step explanation:

(6x+2)/(x+5) = 16/8

(6x+2)/(x+5) = 2

6x + 2 = 2x + 10

6x - 2x = 10 - 2

4x = 8

x = 8 : 4

x = 2

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The quality assurance engineer of a receiving-sets manufacturer inspects receiving-sets in lots of 50. He selects 4 of the 50 re

Mariana [72]

Answer:

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

Step-by-step explanation:

Sets are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Lots of 50 means that $N = 50$

5 are defective, which means that $k = 5$

4 are selected, which means that $n = 4$

Find the probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

This is $P(X = 2)$ . So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,50,4,5) = \frac{C_{5,2}*C_{45,2}}{C_{50,4}} = 0.0430$

0.0430 = 4.30% probability that exactly 2 of the 4 receiving-sets selected by the engineer are defective.

4 0

3 years ago

OK WHAT IS THE FRACTION FORM OF THE RATIO 1:3

lora16 [44]

Answer:

Part A is 1/4

Part B is 3/4

Step-by-step explanation:

1(A):3(B)

brainliest?

5 0

3 years ago

Read 2 more answers

the sum of 2 numbers is 58. the larger number is 10 more than than the smaller number. what aree numbers

Free_Kalibri [48]

Answer:

24 + 34 = 58

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Identify the GCF of 6x^2y^2 − 8xy^2 + 10xy

myrzilka [38]

Answer:

The GCF for the numerical part is 2

Step-by-step explanation:

6x^2y^2-8xy^2+10xy

It contains both numbers and variables, there are two steps to find the GCF(HCF).

1). Find the GCF for the numerical part 6, -8,10

2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3

3).Multiply the values together.

Find the common factors for the numerical part:

6,-8,10

Factors of 6

6: 1,2,3,6

Factors of -8

-8: -8,-4,-2,-1,1,2,4,8

Factors of 10

10:1,2,5,10

Common factors of 6,-8, 10 are 1,2

The GCF Numerical=2

The GCF Variable= xy^2

Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2

6 0

2 years ago

2(x+5)-3=-(2x+1)+1<br> What is the solution for x???

netineya [11]

Hi there,

2 (x +5) - 3 = -(2x + 1) + 1
2x + 10 - 3 = -2x - 1 + 1
2x + 10 - 3 = -2 - 1 + 1
2x + 7 = -2x
2x + 2x = -7
4x = -7

Hence, X= -7/4

Hope this helps :)

Brainliest please

8 0

3 years ago