Answer:
the fire hydrant is 9 meters west and 58 m south of the tower
Step-by-step explanation:
Fire A and Fire B can be represented as a point in the Cartesian coordinate with the tower as the origin. Fire A is 75 meters east and 40 meters south of the tower, It can be represented as (75, -40). Fire B is 37 meters west and 64 meters south of the tower, It can be represented as (-37, -64).
If a point O(x, y) divides a line segment AB in the ratio n:m, with A(
) and B(
), the point O(x, y) is at:

The fire hydrant (x, y) divides Fire A(75, -40) and fire B(-37, -64) in the ratio 3:1(three fourth), hence:

The fire hydrant is at (-9, -58). That is the fire hydrant is 9 meters west and 58 m south of the tower
Given the conditional relative frequency table below which was generated by
column using frequency table data comparing the number of calories in a meal to
whether the meal was prepared at home or at a restaurant.
Number of Calories and Location of Meal Preparation.
Home Restaurant Total
≥ 500 calories 0.15 0.55 0.28
< 500 calories 0.85 0.45 0.72
Total 1.0 1.0 1.0
To determine whether there is an association between where food is prepared and the number of carories the food contain, we recall that an "association" exists between two categorical variables if the column conditional relative frequencies are different
for the columns of the table. The bigger the differences in
the conditional relative frequencies, the stronger the association
between the variables. If the conditional relative frequencies are
nearly equal for all categories, there may be no association between the
variables. Such variables are said to be <span>independent.
For the given conditional relative freduency, we can see that there is a significant difference between the columns of the table.
i.e. 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45
Therefore, we can conclude from the given answer options that t</span><span>here is an association because the value 0.15 is not similar to the value 0.55</span>
Answer:
Here is the question attached with.


is a straight line.
is a right angled triangle.
Options
are correct answers.
Step-by-step explanation:
⇒As
is ⊥
so it will forms right angled triangle then
.
⇒Measure of
as
as
is the bisector of
,meaning that
is half of
so
.
⇒
is a straight line as the angles measure over it is
.
⇒Measure of
from linear pair concept.
As
,plugging the values of
we have
.
The other two options are false as:
it is exceeding
whereas
is a
straight line.
- And
is not true.
As
and 
So we have total
answers.
The correct options are
.
Answer:

Interpretation:
It means that Passenger will reach to same height after each 2/3 minutes
Step-by-step explanation:
We are given height function as

where
h is the height above the ground
t is the time
we can compare it with standard equation

Period formula is

now, we can compare and find B

we can find period


Interpretation:
It means that Passenger will reach to same height after each 2/3 minutes
Answer:
C
Step-by-step explanation:
Traditionally, the y-value is the independent variable, while the x-value is the dependent variable.