Answer:
The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean 
and standard deviation 
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean 
and standard deviation 
In this question:
Then
By the Central Limit Theorem:
The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean and standard deviation
So standard form is Ax+By=C
Since the problem is already in that form you don’t need to switch it around however A has to be more than 0 (so positive). Divide the equation by -3 to get the answer x-4y=-8
The height is represented by h = -16t² + 4t + 20 and There is only one solution, because the solutions indicate time and time cannot be negative.
<h3>How to solve vertical motion models?</h3>
We are given the vertical model of the diver's jump as;
h = -16t² + vt + s
where;
h is height
t is time
v is velocity
s is distance
A) We are given;
Distance; s = 20 ft
velocity; v = 4 ft/s
Thus;
h = -16t² + 4t + 20
B) The solution of the model is gotten from;
-16t² + 4t + 20 = 0
Solving this quadratic equation gives;
t = 1.25 seconds or -1 second
C) B. There is only one solution, because the solutions indicate time and time cannot be negative.
Read more about Vertical Motion Models at; brainly.com/question/27526920
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Answer:
Step-by-step explanation:
a) Complete the table
Monday Tuesday Wednesday Total
Female 21-14=7 38-13-7= 18 13 38
Male 14 33-18= 15 26-13 =13 80-38=42
Total 80-33-26= 21 33 26 80
b) P(the student is a female) = 38/80= 0.475
c) P(the student visited the library on Tuesday) = 33/80= 0.4125
Let
Then
and solving for x gives
By the quadratic formula,
but x must be a positive number, so only the positive square root solution is valid.
We identify a = c = 3 and b = 2, so a + b + c = 8.
