Answer
72°
Step-by-step explanation:
sum of angles of a triangle= 180°
Let, the value of the unknown angle in the triangle be y°
Therefore,
30° + 42° + y° = 180°
or,
72° + y° = 180°
or,
y° = 180° - 72°
or,
y° = 108°
We know that a straight line = 180°
here, AM is a straight line (A till the arrow sign of the line is a straight line, you should have named the last point of the line drawn)
Therefore,
y° + x° = a straight line = 180°
we have known before that, y° = 108°
108° + x° = 180°
x° = 180° - 108°
x° = 72°
Answer: 4 and 1 over 2 ÷ 1 over 8
Step-by-step explanation:
Given that : Total distance drove by Parker =4 and 1 over 2 miles=
miles
Distance drove by Parker each day = 1 over 8 mile=
mile
To find the total number of days , we need to divide the total distance by the distance drove by him in each day.
Thus, the number of days he went driving=4 and 1 over 2 ÷ 1 over 8
Answer:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.
This means that 
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
<span>X + 1.5 ≤ 5
X ≤ 3.5
"Julia is allows to watch no more than 5 hours of television"
X ≤ 5
"She has watched 1.5 hours"
X + 1.5 ≤ 5
So the inequality to solve is:
X + 1.5 ≤ 5
Now to solve it, just subtract 1.5 from both sides:
X + 1.5 ≤ 5
X + 1.5 - 1.5 ≤ 5 - 1.5
X ≤ 3.5
So Julia can watch up to 3.5 more hours of TV this week.</span>