Answer:
The correct options are:
- cubic decimeter and liter
- cubic centimeter and milliliter
Step-by-step explanation:
1) The 1 cubic decimeter is equal to the 1 liter.
2) The 1 cubic centimeter is equal to the 1 milliliter.
3) Since,1 cubic decimeter is equal to the 1 liter.
So,
4) Since, 1 quart = 0.946353 L
5) Since,The 1 cubic centimeter is equal to the 1 milliliter.
So, 1 millimeter ≠ 1 deciliter
6) Since,1 gram = 0.035274 ounces
So, 1 gram ≠ 1ounce
Answer:
(a)
The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.
(b)
The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2
(c)
Probability that no one or one person will be injured = P(X = 0) + P(X = 1)
= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1
= 0.810 + 10 * 0.2 * 0.89
= 0.3758096
(d)
Average value of X = np
Average value of X = 10 * 0.2 = 2
(e)
Variance of X = np(1-p)
Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6
(f)
Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45
Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1
= 9! / ((9-1)! 1!)
= 9
Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured
= 9 / 45
= 0.2
Plug in 5x for y
x(5x) = 45
5x^2 = 45
Divide by 5
x^2 = 9
X = 3
167r1
3/ 505
3
--------
20
18
____
25
24
_____
1 remainder
167r1
3/ 505
3
--------
20
18
____
25
24
_____
1 remainder
X - number of 5 c stamps,
y - number of 15 c stamps,
z - number of 25 c stamps.
The system:
x + y + z = 160
y = 3 x
0.05 x + 0.15 y + 0.25 z = 25 / * 100
-------------------------------------------------
x + y + z = 160
y = 3 x
5 x + 15 y + 25 z = 2500 / : 5
----------------------------------------
x + 3 x + z = 160
x + 3 y + 5 z = 500
-------------------------
4 x + z = 160 / * ( - 1 )
10 x + 5 z = 500 / : 5
------------------------------
- 4 x - z = - 160
+
2 x + z = 100
-------------------------
- 2 x = - 160
x = 30, y = 90
z = 160 - 120 = 40
Answer:
- 30 of 5 c stamps,
- 90 of 15 c stamps,
- 40 of 25 c stamps.
