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sveticcg [70]
3 years ago
11

A shipping container contains seven complex electronic systems. Unknown to the purchaser, two are defective. Two of the seven ar

e selected for thorough testing and are then classified as defective or non defective. What is the probability that no defectives are found?
Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

Answer:

     \large\boxed{\large\boxed{10/21}}

Explanation:

There are only two mutually exclusive possibilities for each complex electronic system: being <em>defective</em> or being <em>not defective</em>:

  • Number of complex electronic systems: 7
  • Nmber of defective systems: 2
  • Number of not defective systems: 5

<em>Probability </em>that no defective systems are found in the sample is the equal to the probability of selecting them consecutively without replacement and finding each one is not defective:

  • Porbability the first is not defective × probability the second is not defective

  • 5/7 × 4/6 = 20/42 = 10/21

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slope is $0.10            <em>($1.00 per 10 tokens = $0.10)</em>

y-intercept is $60    <em>($60 is the annual fee)</em>

y = .10x + 60            <em>(y = mx + b)</em>  

domain is x ≥ 0        <em>(you can't buy a negative number of token)</em>

range is y ≥ 60        <em>(input the domain (x ≥ 0) to find the range)</em>

Answer: the y-intercept of the function is $60

6 0
3 years ago
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Are the following proportional? Explain or show<br> your reasoning<br> 3/5 and 18/25
kykrilka [37]

Answer:

No, they are not proportional. 3/5 with equal out to 15/25 by using the method of Least Common Denominator!

Step-by-step explanation:

Hope this helps :)

7 0
3 years ago
What is the volume of a rectangular prism that is 8 m long, 7 m wide, and 5 m tall?
OleMash [197]
Answer: 280
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4 0
2 years ago
You are working on a proof. You know that A and B are on the perpendicular bisector of CD. What can you conclude? A) AC = BD B)
MatroZZZ [7]
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5 0
3 years ago
What are the coordinates of the vertex of the graph of the absolute value function h(x) = 3|x + 5| + 2? A) (5,-2) B) (-5,2) C) (
saw5 [17]

Answer:

B) Vertex = (-5, 2)

Step-by-step explanation:

Vertex can be defined as defined as the point where two lines meet and form a particular angle with each other. It can also be described as the point where a line changes its direction

We can find vertex by two methods:

<h3>1) GRAPH</h3>

We can see in the graph attached below that the line changes its direction at point (-5, 2). So the vertex is (-5,2)

<h3>2) FORMULA</h3>

General form of equation of mod function is given by

y = a |x - h| + k

where Vertex = (h, k)

The given equation is

h(x) = 3 |x + 5| + 2

h(x) = 3 |x - (-5)| + 2

where h = -5 and k = 2

So the vertex is:

Vertex = (-5, 2)

7 0
3 years ago
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