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almond37 [142]
3 years ago
10

In a box of 25 external hard disks, there are 2 defectives. An inspector examines 5 of these hard disks. Find the probability th

at there is at least 1 defective hard disk among the 5.
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Answer:

0.3667 or 36.67%

Step-by-step explanation:

The probability of getting at least 1 defective hard disk among the 5 (P(X>0)) is equal to 100% minus the probability of getting none defectives (1-P(X=0)).

If 23 out of 25 hard disks are non-defective, the probability is:

P(X>0) = 1 -P(X=0)\\P(X>0) = 1 -\frac{23}{25}*\frac{22}{24} *\frac{21}{23} *\frac{20}{22} *\frac{19}{21}\\ P(X>0) = 0.3667=36.67\%

The probability that there is at least 1 defective hard disk is 0.3667 or 36.67%.

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Which of the following are point slope equations of the line going through (-3, -5) and (2, 4). Help is appreciated!​
ki77a [65]

Answer:

A and F

Step-by-step explanation:

first figure out the slope.

4-(-5)/2-(-3)= 9/5

slope: 9/5

y-y1=m(x-x1)

you substitute either coordinate for the second variables. we automatically take out any slopes that have a negative because the slope is positive.

C, D, E all have negative slopes so it is wrong.

B does not work because a negative times a negative is a positive. the equation shows it to be negative so it is wrong.

A & F fit the solution.

8 0
3 years ago
Nine times the input minus seven is equal to the output. If the input is -1, what is the output?
uranmaximum [27]

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f(x) = 9x - 7

f( - 1) = 9( - 1) - 7

f( - 1) =  - 9 - 7

f( - 1) =  - 16

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7 0
3 years ago
katie has red 32% of a book if she has to read 80 pages how many more pages does Katie have left to read
galben [10]
In this question, the information that Katie has already read 32% of a book that has a total of 80 pages is of great importance. This information is enough to find the required answer to the question.
Total number of pages Katie has to read = 80
Percentage of pages that Cathie read = 32%
Number of pages that Katie read = (32/100) * 80
                                                     = 256/10
                                                     = 25.6 pages
Then
The number of pages that Katie have left to read = 80 - 25.6
                                                                               = 54.4 pages
So Katie has 54.4 pages left to read.
                                                    
5 0
3 years ago
What is the length of BC in the right triangle below?
Neko [114]

Answer and Step-by-step explanation:

<u>How to solve:</u>

Use the Pythagorean Theorem to find the length of side <em>BC</em>.

<u>Pythagorean Theorem Formula:</u>

<u />A^2+B^2=C^2<u />

<u />

Side AB will be A, side AC will be B, and side BC will be C.

<u>Plug in values.</u>

8^2+15^2 = C^2\\\\\\64 + 225 = C^2\\\\289 = C^2\\Square.root.both.sides.\\\\\sqrt{289} = C\\17 = C\\\\\\

<u>This means the answer is A. 17.</u>

<u></u>

<u>I hope this helps!</u>

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5 0
3 years ago
Mariam and Sana are excited that a new store just opened in town! They go together the first day it opens! Each time Mariam goes
Vadim26 [7]

Answer:

Mariam went to the store 5 times, while Sana went 3 times.

Step-by-step explanation:

Since Mariam and Sana are excited that a new store just opened in town, and they go together the first day it opens, and each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50, and a few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store, to determine what is the least possible number of times that Mariam has been to the store the following mathematical reasoning has to be done:

To know how many times Mariam went and how many times Sana went to the store, since she spends Rs. 30 and the other Rs. 50, and they have spent the same after a few weeks, it is through the search for the lower common multiple of both numbers.

Thus, the common multiple less than 30 and 50 is 150 (30 x 5 or 50 x 3). Therefore, Mariam went to the store 5 times, while Sana went 3 times.

8 0
2 years ago
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