Answer:
y = 2x + 1
Step-by-step explanation:
A line y = ax + b that is perpendicular to the other line y = (-1/2)x + 7
=> The product of 2 slopes of these 2 lines must be -1
=> a x (-1/2) = -1
=> a = 2
This line passes (2, 5) => 5 = 2*2 + b => 5 = 4 + b => b = 1
=> The equation of the line: y = 2x + 1
Hope this helps!
Answer:
D - Type of restaurant - fast food or more expensive.
Step-by-step explanation:
By a lurking variable we mean or refer to any variable that is unknown and not controlled for or out of individual control. When there is one or more lurking variables in any study it could results in accidental bias. According to Soares (1985), lurking variables are intrinsic and they are not actually caused by “accidents” in real sense. Hence he suggests that “lurking-variable bias” is a more suitable name for accidental bias.
Concluding that individuals who spend a lot on groceries also spend a lot at restaurants could be misleading in the sense that, groceries may have a more uniform price than restaurant regardless of your social class. For instance, type of restaurant could determine food cost. At some restaurant, food is quite expensive at another food is quite affordable. I may not to go any groceries store in a month but I patronize restaurant to eat daily.
It is also possible I don't patronize restaurants! And yet, I am frequent at groceries store.
In real sense, what I spent at groceries might be nothing compare to what I spend at restaurant and vice versa. Hence, the possible lurking variable is type of restaurant - fast food or more expensive which is unknown and not controlled for.
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
4th term would be
250 - (n-1)•13
250 - (4-1)•13
250 - 39
211
check:
250
237
224
211
Answer:
see below
Step-by-step explanation:
First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.
Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.
The data set of the 3rd choice matches the box plot extremes, median, and quartile values.