Answer:
The null hypothesis is 
, in which x is the proportion tested.
The alternative hypothesis is 
Step-by-step explanation:
A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.
This means that at the null hypothesis, we test if the proportion is of at most x, that is:
Suppose that we suspect otherwise and carry out a hypothesis test.
The opposite of at most x is more than x, so the alternative hypothesis is:
Combined speed = 95+75= 170 mph
they will meet in 306/170 = 1.8 hours or 1 hour 48 minutes.
There are so many types of angles, let's see what we've got here!
--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.
--(5x - 17) and y are supplementary angles.
--48 and y are same-side interior angles, which means that they are also supplementary.
Let's solve for x first.
5x - 17 = 48
5x = 65
x = 13
Now, let's solve for y.
48 + y = 180
y = 132
Hope this helps!! :)
Answer:
4x^2+24x=4
Step 1:
make the coefficient of x² as 1, divide both sides by 4
x² +6x =1
Step 2:
take half of coefficient of x, square it and add it to both sides
half of 6 is 3 and 3²=9, so add 9 to both sides
x² +6x+9=1+9
x²+6x+3²=10
(x+3)²=10
now when we take square root we will get both + and - √10 on right side
x+3= +√10
x+3=-√10
solving for x
x=+√10-3
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
1/3 * 2/3 = 2/9
Answer:
136/9
Step-by-step explanation:
4 1/4 * 2 2/3 = 17/3 * 8/3 = 136/9 = 15 1/9
