Answer:
to understand this we will turn 5 5/6 into a inproper fraction 5 can be turned into 60/12 and 5/6 can be turned into 10/12 so this is equal to 70/12.
5 5/6=70/12
in 70 there are 14 pairs of 5's, 14x5=70
this means that he will need 14 telephone pole's
Using it's concept, it is found that the relative frequency of 6th graders who rode a car is given by:
D. 55%.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The number of 6th graders is given by:
N6 = 576 - (219 + 189) = 168.
The number of 6th graders who rode a car is:
N6C = 168 - 75 = 93
Hence the relative frequency is given by:
r = 93/168 = 55%.
Hence option D is correct.
More can be learned about relative frequencies at brainly.com/question/14398287
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Answer:
B. 8 hours
Step-by-step explanation:
T=d/r
84/10.5 = 8 hours
Given:
A figure of a circle. 
.
To find:
The length of KJ.
Solution:
From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.
Therefore, the length of KJ is 6 units.
Note: In the given question we need to find KL instead of KJ because KJ is already given.
According to the tangent secant theorem:
Where,
- a is the length of the tangent.
- b is the length of the external segment of the secant.
- c is the measure of the secant.
Using the tangent secant theorem, we get
On further simplification, we get
Splitting the middle term, we get
For 
,
, which is not possible because side cannot be negative.
For 
,
Therefore, the measure of KL is 2 units.
When two values are given for a linear function, it is easier to obtain the equation using the two-point form, namely
(y-y1)=m(x-x1) where
m=slope=(y2-y1)/(x2-x1)
and
(x1,y1) and (x2,y2) are the given two points.
Here
(x1,y1)=(25,0.99), and
(x2,y2)=(100,3.99)
Find slope, m=(y2-y1)/(x2-x1)=(3.99-0.99)/(100-25)=3/75=0.04
Find equation:
(y-y1)=m(x-x1)
(y-0.99)=0.04(x-25)
Expand and simplify:
y=0.04x-1+0.99 , simplify
y=0.04x-0.01..............................Function that models the situation
