Answer:
0.61596
Step-by-step explanation:
Given that:
λ = 5 (5 errors per page)
Poisson distribution formula :
P(x = x) = (λ^x * e^-λ) / x!
Probability that page does not need to be retyped means that error on page is less than or equal to 5
P(x ≤ 5) = p(x = 5) + p(x = 4) +... + p(x = 0)
The individual probabilities can be obtained using the formula above or the use of a calculator
P(x ≤ 5) = 0.17547 + 0.17547 + 0.14037 + 0.08422 + 0.03369 + 0.00674
P(x ≤ 5) = 0.61596
Answer:
My net wroth would have changed by $800
Step-by-step explanation:
Because $3,100 - $2,300 = $800
Answer and Explanation:
Five one-step equations with the answer of 0:
1. x - 8 = -8
2. x - 4 = -4
3. x / 2 = 0
4. x - 3 = -3
5. 5 * x = 0
Five one-step equations with the answer of -5:
1. y + 2 = -3
2. y - 3 = -8
3. y + 10 = 5
4. y * (-2) = 10
5. y / 1 = -5
Five one-step equations with the answer of 4:
1. 4 * z = 16
2. 8 - z = 4
3. 7 + z = 11
4. z / 2 = 2
5. z + 11 = 7
Hope these help!
Answer:
p = 23 and p = -22
Step-by-step explanation:
| 2p -1 | =45
Absolute value equations have 2 solutions, one positive value and one negative
2p-1 = 45 and 2p-1 = -45
Add 1 to all sides
2p-1+1 = 45+1 and 2p-1+1 = -45+1
2p = 46 2p = -44
Divide by 2
2p/2 = 46/2 and 2p/2 = -44/2
p = 23 and p = -22
Answer:
Step-by-step explanation:
The rectangle has been split into two right triangles. The hypotenuse of the triangle (the diagonal) is 18. The angle in the triangle is 30. All right triangles have unique relationships between their sides depending on the angles. This triangle must be a 30 - 60 - 90 triangle and its sides will be a scaled version of 
.
The side 2 correspond to the hypotenuse of length 18. 2*9 = 18 and so the scale factor is 9. To find the remaining sides, multiply each side length by 9 from .
It becomes 
. So the rectangle is 9 by 
.
The perimeter of the rectangle is 
