Answer:
0.128
Step-by-step explanation:
We know the probability for any event X is given by,
,
where p is the probability of success and q is the probability of failure.
Here, we are given that p = 0.533.
Since, we have that q = 1 - p
i.e. q = 1 - 0.533
i.e. q = 0.467
It is required to find the probability of 4 wins in the next 5 games i.e. P(X=4) when n = 5.
Substituting the values in the above formula, we get,

i.e. 
i.e. 
i.e. i.e. 
Hence, the probability of 4 wins in the next 5 games is 0.128.
Answer:
y = -2x - 5
Step-by-step explanation:
2y = x - 3
y = 1/2x - 3/2
gradient = 1/2
perpendicular gradient = negative reciprocal = -2
y = -2x + c
(-3) = -2(-1) + c
-3 = 2 + c
-5 = c
Answer:
<h2>
x = 16 degrees</h2>
Step-by-step explanation:
1 and 3 are <u>vertical angles</u> so m∠1 = m∠3
(4x - 2)° = 62°
4x - 2 = 62
4x = 64
x = 16
Answer:
Step-by-step explanation:
<em>1).</em>
(a). Yes, the graph is linear.
(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2
<em>2).</em> Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)
Y = kx is the direct variation equation, where 'k' is the constant of variation.
12 = 7(x)
Divide both sides by 7
12/7 = x