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sveticcg [70]
2 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]2 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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PtichkaEL [24]

Answer:

23

Step-by-step explanation:

133 = 18 + 5x

155 = 5x

23 = x

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2 years ago
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.<br> r = 9 sin 7θ
boyakko [2]

Answer:

The given function symmetric about the y-axis.

Step-by-step explanation:

The given function is

r=9\sin 7\theta                .... (1)

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point  (r,-θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

Put (r, -θ ) in the given function.

r=9\sin 7(-\theta)=-9\sin 7\theta=-r\neq r

Therefore it is not symmetric about x-axis.

Put (-r, -θ ) in the given function.

-r=9\sin 7(-\theta)=-9\sin 7\theta=-r

Therefore it is symmetric about y-axis.

Put (-r,θ ) in the given function.

-r=9\sin 7(\theta)=r\neq -r

Therefore it is not symmetric about the origin.

3 0
3 years ago
What is the equation in slope intercept form of a line with slope -4/3 and y-intercept -2
Marta_Voda [28]
Y=mx+b
m=slope
b=y-intercept

Given
Slope=-4/3
y-intercept=-2

Plug them into the slope intercept formula
Final answer: y=-4/3-2
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Cornelius has 25 nickels, 39 dimes, 22 quarters, and 12 fifty-cent pieces. How
Mars2501 [29]

Answer:

16.65$

Step-by-step explanation:

6 0
3 years ago
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