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ankoles [38]
3 years ago
15

Sal can mop a certain floor in 8 minutes by himself.If Sal and ben can mop the floor together in 6 minutes,how long does it take

Ben to mop the floor alone?
Mathematics
1 answer:
dalvyx [7]3 years ago
7 0
I thinkit would be 14 Minutes, Im not sure though. 
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Let X1, . . . ,Xn be an i.i.d. random sample from a N(0, 1) population. Define Y1 = 1 n n X i=1 Xi , Y2 = 1 n n X i=1 |Xi| . Cal
nalin [4]

For each 1\le i\le n, E[X_i]=0, so that

\displaystyle E[Y_1]=E\left[\frac1n\sum_{i=1}^nX_i\right]=\frac1n\sum_{i=1}^nE[X_i]=0

Meanwhile,

\displaystyle E[Y_2]=\frac1n\sum_{i=1}^nE[|X_i|]

Each of the X_i have PDF

f_{X_i}(x)=\dfrac1{\sqrt{2\pi}}e^{-x^2/2}

for x\in\Bbb R. From this we get

E[|X_i|]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty|x|e^{-x^2/2}\,\mathrm dx=\sqrt{\frac2\pi}\int_0^\infty xe^{-x^2/2}\,\mathrm dx=\sqrt{\frac2\pi}

\implies E[Y_2]=n\sqrt{\dfrac2\pi}

8 0
3 years ago
In the rectangle below,
STALIN [3.7K]

Answer:

Step-by-step explanation:

In a rectangle,  diagonals are equal and bisect each other

BE  =   AE

6x - 5 = 2x +  7

6x - 2x - 5 = 7

       4x - 5 = 7

             4x = 7 + 5

             4x = 12

               x = 12/4

               x = 3

AE = 2x + 7

     = 2*3 + 7

    = 6 + 7

AE =  13

AC = 13 + 13

AC = 26

m∠EBC = 50

In rectangle, each angle is 90

m∠ABE + m∠EBC = 90

m∠ABE + 50 = 90

          m∠ABE = 90 - 50

          m∠ABE = 40

In rectangle, AB // DC and DB transversal

m∠ECD = m∠ABE   { alternate interior angles}

m∠ECD = 40

8 0
3 years ago
This is for the summer
Vladimir [108]
The correct answer would be A! (:
6 0
3 years ago
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uranmaximum [27]

Answer:

x = - 1

Step-by-step explanation:

Given

- 2(bx - 5) = 16 ← substitute b = 3

- 2(3x - 5) = 16 ( divide both sides by - 2 )

3x - 5 = - 8 ( add 5 to both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

8 0
3 years ago
What is (2x + 1)(3x + 7) simplified
motikmotik

Answer:

6x^2+14x+3x+7=6x^2+17x+7

6 0
3 years ago
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