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Elanso [62]
3 years ago
15

In an assembly-line production of industrial robots, gearbox assemblies can be installed in one minute each if holes have been p

roperly drilled in the boxes and in ten minutes if the holes must be redrilled. Twenty-one gearboxes are in stock, 4 with improperly drilled holes. Five gearboxes must be selected from the 21 that are available for installation in the next five robots. (Round your answers to four decimal places.) (a) Find the probability that all 5 gearboxes will fit properly.
Mathematics
1 answer:
slavikrds [6]3 years ago
7 0

Answer: Our required probability is 0.304.

Step-by-step explanation:

Since we have given that

N = 21

Number of improperly drilled holes k = 4

Number of properly drilled holes = N-k= 21-4=17

Let X be the number of improperly drilled holes in a sample of 5.

We will use "Binomial distribution":

P(X=5)=\dfrac{^4C_0\times ^{17}C_5}{^{21}C_5}=0.304

So, our required probability is 0.304.

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There are 21 bags of pears on a market stall.
geniusboy [140]

Answer:

13 pears in the 21st bag

Step-by-step explanation:

mean = total number of pears/total number of bags

8 = x/21

x = 168

number of pears in 20 bags = (6 x 2) + (7 x 6) + (8 x 9) + (9 x 1) + (10 x 2)

= 155

number of pears in the 21st bag = 168 - 155

= 13

4 0
3 years ago
How many pairs of parallel faces are shown?<br><br><br> 3<br><br><br> 5<br><br><br> 4<br><br><br> 6
TiliK225 [7]
There are 3 parallel faces shown
5 0
3 years ago
Read 2 more answers
The temperature fell 5°C each hour for 3h. a. Write an integer multiplication to represent the temperature change, b. What was t
MakcuM [25]

Answer:

Step-by-step explanation:

a) 3 x 5

b) 15 Celcius

8 0
3 years ago
What’s the length of the new fence?
natulia [17]
We apply the Pythagorean theorem twice and obtain:
 12 ^ 2 = x ^ 2 + (15-d) ^ 2
 9 ^ 2 = x ^ 2 + d ^ 2
 We observe that it is a system of two equations with two unknowns whose solutions are:
 (x, d) = (-36/5, 27/5)
 (x, d) = (36/5, 27/5)
 We ignore the negative solution, therefore, the solution is:
 (x, d) = (36/5, 27/5)
 Answer:
 
The length of the new fence is:
 
x = 36/5 meters
7 0
3 years ago
The date of death for a widow was 2019. If the estate was valued at $2,186,000 and the estate was taxed at 40 percent, what was
Airida [17]

Answer:

Value of tax liability will be zero

Step-by-step explanation:

Given:

Total estate value = $2,186,000

Estate tax = 40 %

Find:

Heir's tax liability = ?

Computation:

Total taxable estate = Total estate value - Estate Exemption

Note: According to Exhibit 19-6 for Estate Exemption, Estate Exemption  is 11.4 million.

We know that Estate Exemption  is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.

7 0
3 years ago
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