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aniked [119]
2 years ago
14

10.12 divided by 4.4 show work

Mathematics
1 answer:
strojnjashka [21]2 years ago
7 0

Answer: 2.3

Step-by-step explanation:

10.12 move the decimal twice so its 1012 and do the same for 4.4 but add a zero at the end because u one one number after decimal point. then divide 1012/ 440 = 2.3

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70434 ÷ 78 how do this with long division
rosijanka [135]
The answer is 903!!!!!!
8 0
2 years ago
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Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0). y
Likurg_2 [28]
Y-y1=m(x-x1)
for slope=m
for point (x1,y1)
slope for 2 points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

points
(2,0)
(-6,4)
(0-4)/(2-(-6))=(-4)/(2+6)=-4/8=-1/2

m=-1/2


could be
y-4=-1/2(x+6)
or
y=-1/2(x-2)

6 0
2 years ago
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A bank gets an average of 12 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that t
Alina [70]

Answer:

75.76% probability that there will be 10 or more customers at this bank in one hour.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

A bank gets an average of 12 customers per hour.

This means that \mu = 12

Find the probability that there will be 10 or more customers at this bank in one hour.

Either there are less than 10 customers, or there are 10 or more. The sum of the probabilities of these events is 1. Then

P(X < 10) + P(X \geq 10) = 1

We want P(X \geq 10)

Then

P(X \geq 10) = 1 - P(X < 10)

In which

P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)

So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-12}*12^{0}}{(0)!} \approx 0

P(X = 1) = \frac{e^{-12}*12^{1}}{(1)!} = 0.0001

P(X = 2) = \frac{e^{-12}*12^{2}}{(2)!} = 0.0004

P(X = 3) = \frac{e^{-12}*12^{3}}{(3)!} = 0.0018

P(X = 4) = \frac{e^{-12}*12^{4}}{(4)!} = 0.0053

P(X = 5) = \frac{e^{-12}*12^{5}}{(5)!} = 0.0127

P(X = 6) = \frac{e^{-12}*12^{6}}{(6)!} = 0.0255

P(X = 7) = \frac{e^{-12}*12^{7}}{(7)!} = 0.0437

P(X = 8) = \frac{e^{-12}*12^{8}}{(8)!} = 0.0655

P(X = 9) = \frac{e^{-12}*12^{9}}{(9)!} = 0.0874

P(X < 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) = 0 + 0.0001 + 0.0004 + 0.0018 + 0.0053 + 0.0127 + 0.0255 + 0.0437 + 0.0655 + 0.0874 = 0.2424

Then

P(X \geq 10) = 1 - P(X < 10) = 1 - 0.2424 = 0.7576

75.76% probability that there will be 10 or more customers at this bank in one hour.

3 0
2 years ago
In circle O, SU is a diameter. Circle O is shown. Line segment S U is a diameter. Line segments R O and T O are radii. Points R
Finger [1]

Answer:

130°

Step-by-step explanation:

See the attached diagram.

Given that ∠ ROS = ∠ TOU = 9x + 5

Again, ∠ ROT = 13x + 15.

Therefore, 13x + 15 + 2 (9x + 5) = 180

⇒ 31x + 25 = 180

⇒ 31x = 155

⇒ x = 5

Hence, ∠ SOT = ∠ SOR + ∠ ROY = 9x + 5 + 13x + 15 = 22x + 20 = 130°  

(Answer)

8 0
2 years ago
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Factorise completely<br> 12x4yz2−8x3y3z2
Lina20 [59]
Final result :

4x3yz2 • (3x - 2y2)
Reformatting the input :

Changes made to your input should not affect the solution:

(1): "z2" was replaced by "z^2". 4 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((12•(x4))•y)•(z2))-((23x3•y3)•z2)
Step 2 :

Equation at the end of step 2 :

(((22•3x4) • y) • z2) - 23x3y3z2
8 0
2 years ago
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