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marysya [2.9K]
3 years ago
9

45 632 = 4 x 10 000 + 5 x __________ + 6 x __________ + 3 x _______ + 2 x 1=?

Mathematics
1 answer:
vova2212 [387]3 years ago
4 0

45,632 = 4 × 10,000 + 5 × 1,000 + 6 × 100 + 3 × 10 + 2 × 1

450,302 = 4 × 100,000 + 5 × 10,000 + 3 × 100 + 2 × 1

8,307,050 = 8 × 1,000,000 + 3 × 100,000 + 7 × 1,000 + 5 × 10

----------------------------------------------------------------------------------------------

• Decide which is the last digit to keep

• Leave it the same if the next digit is less than 5 (this is called rounding down)

• Increase it by 1 if the next digit is 5 or more (this is called rounding up)

----------------------------------

1156

nearest 10: 1156 ≈ 1160   (6 ≥ 5)

nearest 100: 1156 ≈ 1200 (5 ≥ 5)

-------------------------------------

1,420,000 m²

nearest 100,000: 1,420,000 ≈ 1,400,000    (2 < 5)

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A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while
bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....

where, n = number of trials (samples) taken = 12 bottles

             x = number of success  = 2 or more bottles

            p = probabilitiy of success which in our question is probability that  

                 bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X \geq 2)

  P(X \geq 2) = 1 - P(X = 0) - P(X = 1)

                 = 1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}

                 = 1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})

                 = <u>0.00617</u>

8 0
3 years ago
How many twenties have the same value as £9.00
goldfiish [28.3K]
Im assuming you mean 20pence? if so its 5 twenty pence in a pound so times 5 by 9 gives you 45
so there are 45 twenty pence in £9
8 0
3 years ago
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Pls help me<br> 4x-2y=14<br> y=1/2x-1
kati45 [8]
Judging by the problem you want me to use substitute method
Since why equals 1/2x-1 you
Do 2(1/2x-1)= x-2
You multiple by 2 cause there’s two on the top for y. So the problem is now 4x-x-2
Combine like terms 3x+2=14
Subtract two on both sides
3x=12
X=4
Go back to the bottom since u know x now do y= 4.1/2-1 solve to get one
Y=1 so your answer is (4,1)

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3 years ago
A baby giraffe has a mass of 12 Kg. How many grams is the baby girafe?
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
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If two angles are complementary they add up to
MArishka [77]

Answer:

90 degrees

I hope this helps!

3 0
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