Answer:
We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The standard error is 
Given that the confidence level is 95% then the level of significance is mathematically represented as

=> 
Generally from the normal distribution table the critical value of
is

Generally the margin of error is mathematically represented as

=> 
=> 
Generally 95% confidence interval is mathematically represented as

=> 
=>
Converting to percentage
Answer:
Option A
Step-by-step explanation:
From the graph given in the picture,
Function 1
Rate of change = Slope of the line
Slope of a line passing through two points
and
is,
Slope = 
Therefore, slope of the given line which is passing through (1, 2) and (-1, -2)will be,
Rate of change =
= 2
Function 2
Equation of the line is,
y = 
By comparing this equation with slope-intercept form of the equation,
y = mx + b
Here m = rate of change Or slope of the linear function
Rate of change of function 2 = 
Therefore, rate of change of function 1 is higher than function 2.
Option A will be the answer.
Answer:
The probability is 0.1312
Step-by-step explanation:
Here, let us set up a binomial system
From the question, 54% ride a bike
Let p = people that rides a bike
54% = 54/100 = 0.54
p = 0.54
q = 1 - p = 1 -0.54 = 0.46 ( 46% do not ride bikes)
Now, for the binomial system, we have
P(X = 15) = 30 C 15 • p^15•q^15
We have;
30 C 15 * 0.54^15 * 0.46^15
= 0.131200268998
The probability is 0.1312