Answer:
Slope- 5 y-int- (0,0)
Step-by-step explanation:
y=mx+b, where m=slope and b=y-int. m=5, and we don't see a b, so it must be 0.
The best thing to do here is to put each of these into fractions, with the total (31) as the denominator.
14/31= silver
6/31= black
8/31= copper
3/31= various colours.
As you're looking for the keys that are silver or copper, you've got to add the two denominators together, which gives you 14+8= 22.
This cannot be simplified further, therefore, the probability of choosing either a silver or copper key is 22/31
Hope this helps :)
Answer:
When rounding to the nearest ten, like we did with 1890 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
x: ____ 1____ 2____ 4____ 8____ 16
p(x): _0.05_ 0.15__ 0.25__0.30__ 0.25
E(X) : Σ[(X). P(X)]
Σ(1*0.05) + (2*0.15) + (4*0.25) + (8*0.30) + (16 * 0.25)
= 7.75
B)
E(x) = u = 7.75
Var(X) = E[(x - u)²*p(x)] = (1 - 7.75)^2 * 0.05 + (2 - 7.75)^2 * 0.15 + (4 - 7.75)^2 * 0.25 + (8 - 7.75)^2 * 0.30 + (16 - 7.75)^2 * 0.25 = 27.7875
C)
Standard deviation (s)
s = √Var(x)
s= √27.7875
s = 5.271
D)
VAR(X) = E(X²) - (E(X))²
E(X²) = Σx²*p(x)
E(X²) = Σ(1^2 * 0.05 + 2^2 * 0.15 + 4^2 * 0.25 + 8^2 * 0.30 + 16^2 * 0.25) = 87.85
V(X) = E(X^2) - (E(X))^2 = 87.85 - 7.75^2 = 27.7875
Answer:
the third answer
Step-by-step explanation:
it starts at the value 2.5 and then increases by 1.5 each week. So that rules out A and D. They weeks is the independent variable and the money saved is dependent.