Answer:
0.017559
Step-by-step explanation:
Data provided:
Probability of Households Having cable TV, p₀ = 76% = 0.76
Therefore,
The probability that the Households not having cable TV = 1 - 0.76 = 0.24
Sample size, n = 225 households
sample proportions is less than 82% i.e p = 0.82
Now,
The standard error, SE = 
or
SE = 
or
SE = 0.02847
and,

or

or
Z = 2.107
therefore,
P(sample porportions < 0.82) = P(Z < 2.107)
now from the p value from the Z table
we get
P(sample porportions < 0.82) = 0.017559
It's 5.4- I just used the calculator on my phone but I would've just done long division if I didn't have a calculator
Answer:
B = -3
Step-by-step explanation:
Answer:
a) 
b) The lowest point of
,
is when x = 
Step-by-step explanation:
a) To simplify the expression
you must:
Apply Difference of Two Squares Formula: 



Apply the Pythagorean Identity 
From the Pythagorean Identity, we know that 
Therefore,
![324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325](https://tex.z-dn.net/?f=324%5B-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29%29%5D%5C%5C324%5B%2B1%5D%5C%5C325)
b) According with the below graph, the lowest point of
,
is when x = 
Answer:
14491.060542
Step-by-step explanation: