Answer:
c)The number generator is fair. It picked the approximate percentage of black socks most of the time.
Step-by-step explanation:
given that 40% are black socks.
No of socks that can be black can take values as
X =0,1,2....10
Each sock is independent of the other.
Hence X is binomial with n = 10 , p = 0.4 and q = 0.6
P(x=r) = 10Cr (0.4)^r (0.6)^(10-r)
r = 0,1,2...10
P(X=0) = 0.0060
P(X=1) = 0.0403
P(X=2) = 0.1209
x 0 1 2 3 4 5 6
Prob 0.0060 0.0403 0.1209 0.2150 0.2508 0.2007 0.1115
7 8 9 10
0.0425 0.0106 0.0016 0.0001
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Comparing with the dot plot we find that the probability increases upto 4 attains peak and comes down and almost negligible for 0,1,9 and 10.
But for 6, 7, 8 prob is not 0 but approximately dot plot is consistent with the theoretical results.
c)The number generator is fair. It picked the approximate percentage of black socks most of the time.
The ends of the graph go in different directions so this is an polynomial of the odd degree. As the domain values approach negative infinity, the range values approach infinity. As the domain values approach positive infinity, the range values approach negative infinity. This must be an odd degree polynomial with a negative leading coefficient. The answer is B. F(x) = -x^7 + 4x^3 - 2x^2
504÷1800=0.28
28% of her income goes to her rent
Answer:
Measure of angle θ = 38.7°
Step-by-step explanation:
In the figure attached,
Given triangle has the measure of two legs = 5 units and 4 units
Measure of one angle = θ
By applying tangent rule in the given triangle,
tanθ = 
= 
= 0.8
θ = 
θ = 38.66
≈ 38.7°
Therefore, measure of angle θ is 38.7°.
Answer:
7 and -8
Step-by-step explanation:
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).
