Answer:
0.8508
Step-by-step explanation:
In this question, we are asked to estimate the probability of getting at least 12 correct answers.
X ~ Bin ( n , p)
Where n = 60 , p = 1/4 = 0.25
Mean = np = 60 * 0.25 = 15
Standard deviation = sqrt [ n p ( 1 - p) ] = Sqrt [ 60 * 0.25 ( 1 - 0.25) ] = 3.3541
Using normal approximation
P(X < x) = P(Z < ( x - mean) / SD )
P(X >= 12) = P(X > 11.5)
= P(Z > ( 11.5 - 15) / 3.3541 )
= P(Z > -1.04)
= P(Z < 1.04)
= 0.8508
The chance that the second person has the same birthday is 1/365<span>.</span>
The answer is B. 4.8
-6.4 - 4*-2.8
-6.4 -(-11.2)
-6.4 + 11.2
4.8
Hope this helps!
Answer: x = -5
Step-by-step explanation:
-3.4x - 9 = 8
+9 +9
-3.4x = 17
-3.4x ÷ -3.4 = x
17 ÷ -3.4 = <u><em>-5</em></u>
Answer:
Part A: f(4) = 2
Part B: k = -7
Step-by-step explanation:
f(4) simply means what the y-value of the graph is when x = 4.
The parabola crosses the coordinate (4,2). In other words, when x = 4, the graph equals 2.
Part B asks to solve the equation: f(4) + k = -5
We already know from Part A that f(4) = 2. So simply substitute 2 for f(4):
2 + k = - 5
Substract 2 from both sides:
k = -7