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Rus_ich [418]
4 years ago
10

Among 9 electrical components exactly one is known not to function properly. If 3 components are randomly selected, find the pro

bability that all selected components function properly.
Mathematics
1 answer:
kozerog [31]4 years ago
6 0

Answer:

P=0.66

Step-by-step explanation:

We know that Among 9 electrical components, exactly one is known not to function properly. If 3 components are randomly selected.

We calculate the probability that all selected components function properly.

We calculate the number of possible combinations:

C_3^9=\frac{9!}{3!(9-3)!}=84

We calculate the number of favorable combinations:

C_3^8=\frac{8!}{3!(8-3)!}=56

Therefore the probability is:

P=\frac{56}{84}\\\\P=0.66

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The figure below shows rectangle ABCD.
kipiarov [429]

Answer: We can find out the missing statement with help of below explanation.

Step-by-step explanation:

We have a rectangle ABCD with diagonals AC and BD ( shown in given figure.)

We have to prove: Diagonals AC and BD bisect each other.

In triangles, AED and BEC.

\angle ADB \cong \angle CBD ( By alternative angle theorem)

AD\cong BC ( Because ABCD is a rectangle)

\angle CAD\cong \angle ACB  ( By alternative angle theorem)

By ASA postulate,\triangle AED\cong \triangle BEC

By CPCTC, BE\cong ED and CE\cong EA

⇒ BE= ED and CE=EA

By the definition of bisector, AC and BD bisect each other.


4 0
3 years ago
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Find the mean and median of the following data set:
VARVARA [1.3K]

Answer:

Mean: 23. 54545455

Median: 22

Step-by-step explanation:

The median represents the center the most because when you are solving for the median, you look for the direct center of the terms which will be 22, the median.

6 0
3 years ago
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Viktor [21]

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1. 4 as that is when he is closest.

2. 3 is when he is waiting as the graph is horizontal showing no movement

3. 4 would change as that is showing his pace walking home if it increased the slope would become steep but if it decreased it would level out more.

Step-by-step explanation:

4 0
3 years ago
1) g(n)= 3n - 4; Find g(-3)​
nalin [4]

Answer:

g(-3) = -13

Step-by-step explanation:

Plug in -3 for n in the equation:

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g(-3) = 3(-3) - 4

Remember to follow PEMDAS. First, multiply, then subtract:

g(-3) = 3 * -3 = -9

g(-3) = -9 - 4

g(-3) = -13

-13 is your answer for g(-3).

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Answer:

The answers would be:

9: $421.54

10: $872

11: $4,706.66

12: $645.83

13: $626.26

14: $3,981.22

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