Answer: y= -4cos (pi/4x)-3
Step-by-step explanation:
Answer:
(0.767,0.833)
Step-by-step explanation:
The 95% confidence interval for population proportion p can be computed as

The z-value associated with 95% confidence level is 1.96.
whereas p=x/n
We are given that x=440 and n=550.
p=440/550=0.8






Thus, the required confidence interval is
0.767<P<0.833 (rounded to 3 decimal places)
Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)
Answer:
<h2>y = 2.8</h2><h2>x = 14</h2>
Step-by-step explanation:
To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.
10y = 5y + 14
First, we need to get all the variables on one side of the equation, so we subtract 5y.
5y = 14
Divide by 5
y = 14/5 or 2 4/5 or 2.8
Now for the x part.
2x = x + 14
Subtract 1x
x = 14
Now we check our answer.
2(14) = 5(2.8) + 14
28 = 14 + 14
28 = 28
Because 28 equals 28, our solutions are correct.
Answer:
(x - 3)(x² + 4)
Step-by-step explanation:
x³ - 3x² + 4x - 12 ( factor first/second and third/fourth terms )
= x²(x - 3) + 4(x - 3) ← factor out (x - 3 from each term
= (x - 3)(x² + 4)
Answer:
5
Step-by-step explanation:
-17, -17, -16 ,-9, 3, 7 ,7, 17, 17, 18
median ( middle number): (3+7)/2= 10/2= 5