Answer:
z = 155 ( second choice )
Step-by-step explanation:
x = 25
65 + 90 = 155
180 - 155 = 25 = x
180 - 25 = 155 = z
Answer:
y = 4x + 3
Step-by-step explanation:
To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.
When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.
So far, the equation is y = 4x + b.
Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.
This would be:
-5 = 4 * -2 + b
-5 = -8 + b
3 = b
This means the equation is y = 4x + 3.
Answer:
There are approximately 171 families in the sample.
Step-by-step explanation:
Percentile meaning:
When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.
Twenty-four of the families in the sample turned on the television for 23 hours or less for the week. The 14th percentile of the data is 23 hours.
This means that 24 is 14% of the total number of families.
Approximately how many families are in the sample?
Using a rule of three.
24 - 0.14
x - 1
0.14x = 24
x = 24/0.14
x = 171.4
Rounding to the nearest integer
There are approximately 171 families in the sample.