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Harman [31]
3 years ago
6

What is the equation for the logarithmic function shown in the graph?

Mathematics
1 answer:
Cloud [144]3 years ago
8 0

Answer: B. f(x) = log (x+1)

Step-by-step explanation:

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A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen 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:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

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

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

6 0
3 years ago
180% is equivalent to what decimal value
SVETLANKA909090 [29]

Answer:

1.8

Step-by-step explanation:

4 0
3 years ago
16. Juice You bought 12 1-gallon bottles of apple and orange juice for a
const2013 [10]

Answer:

Step-by-step explanation:

let x be apple juice and y be orange juice

12 = x + y

x = 12 - y


15 = 1x + 1.5y

x = 15 - 1.5y

set the equations as equal

12 - y = 15 - 1.5y

solve for y

12 + .5y = 15

.5y = 3

y = 6,  you bought 6 bottles of orange juice

so, 12 = x + 6 , x = 6 , you bought 6 bottles of apple juice

7 0
2 years ago
Select all of the correct solutions for the following equation
zhuklara [117]

Answer: a,b, and c are the correct solutions

Step-by-step explanation:

You are substituting each (x,y) for the equation given. They must equal the same on both sides.

5 0
2 years ago
Which property of equality used to solve subtraction equations​
Vinil7 [7]

Answer:

Addition Property of Equality

Step-by-step explanation:

4 0
2 years ago
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