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Nadya [2.5K]
3 years ago
12

Our teacher had1/2 of an eraser left.she gave that to her 2 students equally.how much of the eraser did every student take home

Mathematics
2 answers:
uranmaximum [27]3 years ago
7 0
1/2 an eraser is equally divided among 2 students......
1/2/2= 1/4 

Thus each student receives 1/4 of the eraser
iogann1982 [59]3 years ago
5 0
Hello,

If the teacher has 1/2 of an eraser, and she divides it into 2 pieces to give 1 to each of her students, she gives (1/2) / 2 = (1/2) * (1/2) = 1/4 of the eraser to each student.

Each student takes home 1/4 of the eraser.

Hope this helps!
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the GCF of two numbers is 850 number is divisible by the other what is the smallest these two numbers can be
Nuetrik [128]
If you're trying to say one number is divisible by the other, the two numbers are ...
  1*850 = 850
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4 0
3 years ago
Solve the system of equations.in this form: (x, y)<br><br> -5y + 8x = -18<br><br> 5y + 2x = 58
Gre4nikov [31]
If we add the equations it looks like
-5y + 8x + 5y + 2x = -18+58
so 10x=40
so x=40/10=4
now let's replace x by 4 in the second equation
5y +2*4=58
5y=58-2*4=58-8=50
so y=50/5=10
so (x, y) = (2, 10)
5 0
3 years ago
Read 2 more answers
1. Given the following relation, determine the inverse relation.
gayaneshka [121]

Answer:

1. a

2. f^{-1} (x)=\frac{x}{2} +2

Step-by-step explanation:

1. Since there is one value of y for every value of x in (−1,0),(−4,5),(3,2),(−3,5), this relation is a function.

2. To find the inverse, interchange the variables and solve for y.

f^{-1} (x)=\frac{x}{2} +2

5 0
2 years ago
A rectangle is 5cm longer that it is broad. It perimeter is 26cm. Find the length and breadth of the rectangle
Maslowich
I hope this helps you


length w+5


width w


26=2 (w+5+w)


13=2w+5


2w=8


w=4


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3 0
3 years ago
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose t
andrezito [222]

Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:

f(x) = λ.e^{-\lambda.x}

and the cumulative distribution function, which describes the probability distribution of a random variable X, is:

F(x) = 1 - e^{-\lambda.x}

(a) <u>Probability</u> of distance at most <u>100m</u>, with λ = 0.0143:

F(100) = 1 - e^{-0.0143.100}

F(100) = 0.76

<u>Probability</u> of distance at most <u>200</u>:

F(200) = 1 - e^{-0.0143.200}

F(200) = 0.94

<u>Probability</u> of distance between <u>100 and 200</u>:

F(100≤X≤200) = F(200) - F(100)

F(100≤X≤200) = 0.94 - 0.76

F(100≤X≤200) = 0.18

(b) The mean, E(X), of a probability distribution is calculated by:

E(X) = \frac{1}{\lambda}

E(X) = \frac{1}{0.0143}

E(X) = 69.93

The standard deviation is the square root of variance,V(X), which is calculated by:

σ = \sqrt{\frac{1}{\lambda^{2}} }

σ = \sqrt{\frac{1}{0.0143^{2}} }

σ = 69.93

<u>Distance exceeds the mean distance by more than 2σ</u>:

P(X > 69.93+2.69.93) = P(X > 209.79)

P(X > 209.79) = 1 - P(X≤209.79)

P(X > 209.79) = 1 - F(209.79)

P(X > 209.79) = 1 - (1 - e^{-0.0143*209.79})

P(X > 209.79) = 0.0503

(c) Median is a point that divides the value in half. For a probability distribution:

P(X≤m) = 0.5

\int\limits^m_0 f({x}) \, dx = 0.5

\int\limits^m_0 {\lambda.e^{-\lambda.x}} \, dx = 0.5

\lambda.\frac{e^{-\lambda.x}}{-\lambda} = -e^{-\lambda.x} + e^{0}

1 - e^{-\lambda.m} = 0.5

-e^{-\lambda.m} = - 0.5

ln(e^{-0.0143.m}) = ln(0.5)

-0.0143.m = - 0.0693

m = 48.46

6 0
3 years ago
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