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ahrayia [7]
2 years ago
15

The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation o

f time to insert the bolt is 4.0 minutes and the distribution of time is approximately Normally distributed. For a randomly selected worker, what is the approximate probability the bolt will be inserted in 19 minutes or less
Mathematics
1 answer:
faust18 [17]2 years ago
6 0

Answer:

required probability is 0.8413

Step-by-step explanation: Given mean \mu =15 minutes, standard deviation \sigma =4 seconds, we need to find P\left ( X\leq 19 \right ). Using z score

z=\frac{X-\mu }{\sigma }\\=\frac{19-15}{4}\\=1

So,

P\left ( X\leq 19 \right )\\=P\left ( Z\leq 1 \right )\\=0.8413

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13. After Valentine's Day, boxes of chocolates go on sale and are marked down 10%. The
Anna007 [38]

Answer:

$27.00

Step-by-step explanation:

First, 10% of 30 = 3.

Second, 30 - 3 = 27

Hope this helps!

5 0
2 years ago
Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probabi
Ksenya-84 [330]

Answer:

Proved,

P(A∪B)=0.72

Step-by-step explanation:

Sue travels by bus or walks when she visits the shops.

Probability( catch the bus to the shop ), P(A) = 0.4

Probability( catch the bus from the shop ), P(B) = 0.7

Both A and B are independent events.

Therefore,

P(A∩B) = 0.4×0.7

           = 0.28

Probability Sue walks one way = 1 - P(A∩B)

                                                   = 1 - 0.28

                                                   = 0.72

Hence, the probability that Sue walks at one way is 0.72

3 0
2 years ago
Alex has 84 quarters and nickels worth a total of $17.80.
Hunter-Best [27]

The equation which can be used to find the number of quarters and nickels is; n + q = 84, 0.05n + 0.25q = 17.80.

<h3>Quarters and nickels</h3>

  • Total coins = 84
  • Total value = $17.80

let

  • Number of quarters = q
  • Number of nickels = n

n + q = 84

0.05n + 0.25q = 17.80

From equation (1)

n = 84 - q

Substitute into (2)

0.05n + 0.25q = 17.80

0.05(84 - q) + 0.25q = 17.80

4.2 - 0.05q + 0.25q = 17.80

- 0.05q + 0.25q = 17.80 - 4.2

0.20q = 13.60

q = 13.60 / 0.20

q = 68

Substitute q = 68 into

n + q = 84

n + 68 = 84

n = 84 - 68

n = 16

Therefore, the number of quarters and nickels are 68 and 16 respectively.

Learn more about quarters and nickels:

brainly.com/question/17127685

#SPJ1

6 0
2 years ago
Find the simply interest earned on an investment of $15,000 at a rate of 5.25% for two years.
uysha [10]
Ill show you step by step.

This is what the equation should look like 

Y=Initial value(1+/- Increasing or Decreasing value)^2 Which stands for time

So Y=15,000(1+.0525)^2

So you need to do 1.0525 to the 2nd power Which equals 1.10775625

So now you need to do 15,000(1.10775625)
------------------------------------------------------------------------------------
Which equals <span>16616 rounding to the nearest Ones

16616.3 rounding to the nearest tenth</span>
3 0
3 years ago
Read 2 more answers
Greyson is planning to lay a brick driveway which will be made up of 84 rows 14 bricks per row. He will also lay a backyard pati
joja [24]
He should order 2 pallets (total 1951)
6 0
2 years ago
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