Answer:
A recent report estimated that 25% of all college students in the United States have a sexually transmitted disease (STD). The director of the campus health center believes that the proportion of students with STDs is higher at their campus.
According to the American Heart Association guidelines, the daily maximum amount of sugar a teenager should have is 4 teaspoons. The parents of a local high school have expressed concerns that the average daily sugar intake of their students is higher than these guidelines and have been pressuring school officials to limit unhealthy snack and beverage choices offered in the cafeteria and student store.
Step-by-step explanation:
The first two researches involve the single sample compared to mean of population.
The 3rd and 4th research involves comparing samples of men and women that is two individual groups.
Inequalities are just like regular equations with only one exception. Which is when yo multiply or divide by a negative number to both sides of the inequality sign you must flip it. But, for this inequality that rule will no apply. So, what I do to make it easier because I know we all see a different sign in an equation and we start to freak out. So, change the inequality sign to an equals sign to get a hang of working with them.
Example of changing an inequality sign to an equals sign:

Addition property of equality

or
Example of keeping the inequality sign

Addition property of equality

Answer:
a) slope intercept form: y = -5/14 x + 7/2
b) point slope form: y - 1 = 3/2(x - 4)
Step-by-step explanation:
a) Line A: (4,1) and (0, 7/2)
Slope = (1 - 7/2)/(4 - 0)
Slope = - 5/2 * 1/4
Slope = - 5/14
Equation in slope intercept form:
y = -5/14 x + 7/2
b)
(4,1) and (0, -5)
Slope = (1 + 5)/(4 - 0) = 6/4 = 3/2
Equation in point slope form:
y - 1 = 3/2(x - 4)
Answer:
first one is correct
Step-by-step explanation:
length of a rectangle = 2b - 8c
breadth of a rectangle = 10b + 6c
now , formula to calculate the perimeter of rectangle is
p = 2 (l + w)
no substitute the value of l(length) and w(width)
p = 2{(2b - 8c) + (10b + 6c)}
p = 2(2b - 8c + 10b + 6c)
p = 2(12b - 2c)
p = 24b - 4c