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Viktor [21]
2 years ago
11

Divide. 8.43) 12.645 The quotient is

Mathematics
1 answer:
12345 [234]2 years ago
8 0

Answer:

1.5 or 3/2

Step-by-step explanation:

You might be interested in
Customer arrivals at a bank are random and independent; the probability of an arrival in any one-minute period is the same as th
IgorLugansk [536]

Answer:

0.2240418 ; 0.57681

Step-by-step explanation:

Given the information above :

A) What is the probability of exactly three arrivals in a one-minute period?

Using poisson probability function :

p(x ; m) = [(m^x) * (e^-m)] / x!

Here, m = mean = 3, x = 3

P(3 ; 3) = [(3^3) * (e^-3)] / 3!

P(3;3) = [27 * 0.0497870] / 6

= 1.3442508 / 6

= 0.2240418

B) What is the probability of at least three arrivals in a one-minute period?

Atleast 3 arrivals

X >= 3 = 1 - [p(0) + p(1) + p(2)]

P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870

P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612

P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418

1 - [0.0497870 + 0.1493612 + 0.2240418]

1 - 0.42319 = 0.57681

7 0
2 years ago
Am I correct? ( top question)
EastWind [94]

Answer:

72

Step-by-step explanation:

<1 and <2 are not equal to each other

Let the angle  directly above angle 2 (on the right side of the line) be angle 3

<1 and <3 are corresponding angle, which means they are equal

<2 and <3 are supplementary angles since the form a line

<2 + <3 = 180

We know <1 = <3

<1 + <3 = 180

We are given <1 = 2x+12  and <2 = 3x+18

2x+12 + 3x+18 = 180

Combine like terms

5x+30 = 180

Subtract 30 from each side

5x+30-30 = 180-30

5x= 150

Divide each side by 5

5x/5 = 150/5

x=30

<1 = 2x+12

Substitute 30 in for x to find angle 1

   = 2*30 +12

   =60+12

  = 72

6 0
3 years ago
A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 7 grams and the amo
OlgaM077 [116]

Answer:

3 necklaces and 12 bracelets

Step-by-step explanation:

Bracelets = x +4

amount of necklace gold  =   20*x

amount of gold in bracelet = 7*(x+4)    

added together = 109 gm

 20x    +  7(x+4)     =    109    

20x + 7x+28 = 109

27x+28=109

-28        -28

27x= 81

/27   /27

x=3 necklaces

then bracelets = 3+4=12

6 0
3 years ago
What is the probability of getting an odd number 1-10?
Annette [7]

Answer:

1/2 - Half of the numbers are odd

7 0
3 years ago
Two teachers purchase supplies for their classrooms.
inna [77]

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

18x+40y=95.42

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

11x+16y=53.33

Now solving these equations to find the value of x

18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)

Multiply eq(1) with 2 and eq(2) with 5

36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

7 0
2 years ago
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