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diamong [38]
3 years ago
7

Help me please I will give 12 points

Mathematics
1 answer:
solong [7]3 years ago
5 0

Answer: Was known for rising from birth among tribal nomads and ruling an empire that would eventually span 3 continents.


Step-by-step explanation:


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Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50
Vladimir79 [104]

Answer:

a) Var[z] = 1600

    D[z] = 40

b) Var[z] = 2304

    D[z] = 48

c) Var[z] = 80

    D[z] = 8.94

d) Var[z] = 80

    D[z] = 8.94

e) Var[z] = 320

    D[z] = 17.88

Step-by-step explanation:

In general

V([x+y] = V[x] + V[y] +2Cov[xy]

how in this problem Cov[XY] = 0, then

V[x+y] = V[x] + V[y]

Also we must use this properti of the variance  

V[ax+b] = a^{2}V[x]

and remember that

standard desviation = \sqrt{Var[x]}

a) z = 35-10x

   Var[z] = 10^{2} Var[x] = 100*16 = 1600

   D[z] = \sqrt{1600} = 40

b) z = 12x -5

   Var[z] = 12^{2} Var[x] = 144*16 = 2304

   D[z] = \sqrt{2304} = 48

c) z = x + y

   Var[z] =  Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94  

d) z = x - y

   Var[z] =  Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94

e) z = -2x + 2y

   Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320

  D[z] = \sqrt{320} = 17.88

   

7 0
3 years ago
Fred earns $6.50 an hour, plus tips, as a waiter. Suppose he works 26 hours in a week. How much money must he receive in tips to
vova2212 [387]
$60. 26 x 6.50 = $169. 229 - 169 = 60.
6 0
3 years ago
Read 2 more answers
What is the simplified form of the quantity 12 z-squared plus 25z plus 12 over the quantity 3 z-squared minus 2z minus 8 ?
Vinvika [58]
(12z^2 + 25z + 12)/(3z^2 - 2z - 8) You have to factor it. You know how to factor it right? (12z^2 + 16z + 9z + 12)/(3z^2 - 6z + 4z - 8) (4z(3z + 4) + 3(3z + 4))/(3z(z - 2) + 4(z - 2)) ((4z + 3)(3z + 4))/((3z + 4)(z - 2)) (4z + 3)/(z - 2)
3 0
4 years ago
Adam tried to compute the average of his 6 test scores. he mistakenly divided the correct sum of all of his test scores by 5, wh
kipiarov [429]
Sum/5 = 90
so Sum = 450 which should be divided by 6
450/6 = 75 as the real average.
5 0
3 years ago
Which expression is equivalent to Negative 32 Superscript three-fifths?
Sidana [21]

Answer:

-8

Step-by-step explanation:

Given: (-32)^{(\frac{3}{5}) }

To choose: the correct option

Solution:

Power refers to a number of times, a number is multiplied by itself. Another name for power is exponent.

As per rule of exponents, (a^m)^n=a^{mn}

Here,

(-32)=(-2)^5

Therefore,

(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }

Here, a=-2,m=5,n=\frac{3}{5}

So,

(-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }=(-2)^3=-8

8 0
3 years ago
Read 2 more answers
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