To find the slope, you use the slope formula (m):
and plug in the two points
(-3, 4) = (x₁, y₁)
(2, -1) = (x₂, y₂)

[two negatives cancel each other out and become positive]


m = -1 The slope is -1
Answer:
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
d. z= 1.3322
Step-by-step explanation:
We formulate our hypothesis as
a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )
According to the given conditions
p`= 31/225= 0.1378
np`= 225 > 5
n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5
p = 0.4 x= 31 and n 225
c. Using the test statistic
z= p`- p / √pq/n
d. Putting the values
z= 0.1378- 0.11/ √0.11*0.89/225
z= 0.1378- 0.11/ √0.0979/225
z= 0.1378- 0.11/ 0.02085
z= 1.3322
at 5% significance level the z- value is ± 1.645 for one tailed test
The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept Ha : p >0.11 and conclude that the data indicates that the 11% of the world's population is left-handed.
The rejection region is attached.
The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.
which appears to be 0.95 and subtracting from 1 gives 0.04998
See the graph
<h2>
Explanation:</h2>
Remember to write complete questions in order to get good and exact answers. Here you haven't provided any option, but it's easy to plot this point on a coordinate system in order to know the location of the movie theater. We know that this theater is at the point:

So let's plot this point in the cartesian plane:
- The x-coordinate is -4
- The y-coordinate is 2.
So the graph is shown below. Remember that the horizontal axis is called the x-axis while the vertical axis is called the y-axis.
- x > 0 for the x-values to the right of the origin.
- x < 0 for the x-values to the left of the origin.
- y > 0 for the y-values above the origin
- y < 0 for the y-values below the origin.
<h2>Learn more:</h2>
Cartesian coordinate system: brainly.com/question/2141683
#LearnWithBrainly
Answer:
C
Step-by-step explanation:
First of all their is an easier way solving this 2l/ + l^2
but how you need it is c because the base is 100 and each face is 40 how 10x8=80 80/2=40