The total number of digits required in numbering the pages of a book, which has 1,724 pages are 5,789.
Step-by-step explanation:
The total pages = 1,724
Now, to find the total digits, lets break down the pages.
1,724 is made up of
- 9 one digit numbers (1-9) = 9 x 1 = 9 digits
- 90 two digit numbers (10-99) = 90 x 2 = 180 digits
- 900 three digit numbers (100-999) = 900 x 3 = 2700 digits
- 725 four digit numbers (1000-1724) = 725 x 4 = 2900 digits
Now, lets add the digits.
9 + 180 + 2700 + 2900 = 5,789
Hence, the total number of digits required in numbering the pages of a book, which has 1,724 pages are 5,789.
Answer:
J, 6
Step-by-step explanation:
plug in the values given into the equation
x = 5 and y = 2
4(5) - (2)³/ 2
20 - 8/2
20 - 8 = 18
12/2
6
the value of 
is 6 when the values are plugged in
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] = 
V[x]
and remember that
standard desviation = ![\sqrt{Var[x]}](https://tex.z-dn.net/?f=%5Csqrt%7BVar%5Bx%5D%7D)
a) z = 35-10x
Var[z] = 
Var[x] = 100*16 = 1600
D[z] = 
= 40
b) z = 12x -5
Var[z] = 
Var[x] = 144*16 = 2304
D[z] = 
= 48
c) z = x + y
Var[z] = Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] = 
= 8.94
d) z = x - y
Var[z] = Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] = = 8.94
e) z = -2x + 2y
Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320
D[z] = 
= 17.88
Answer:
<u><em>a) P(X=1) = 0.302526</em></u>
<u><em>b) P(X=5) = 0.010206</em></u>
<u><em>c) P(X=3) = 0.18522</em></u>
<u><em>d) P(X≤3) = 0.92953</em></u>
<u><em>e) P(X≥5) = 0.010935</em></u>
<u><em>f) P(X≤4) = 0.989065</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em>If helpful, please mark as brainliest! =)</em></u>
16.875=ab^3 (divided by what follows)
7.5=ab^1 gives you:
2.25=b^2
b=1.5 now we can solve for a...
7.5=a(1.5^1), a=5 so the function is:
y=5(1.5^x)
