Answer:
The linear function is 
. The graph of function is given below.
Step-by-step explanation:
The slope intercept form of a linear function is
Where, m is slope and b is y-intercept.
Since the slope is -1 and the y-intercept is 3, therefore the linear function is,
put y=0, to find x-intercept.
Therefore the line intersect the y-axis at y=3, x-intercept is x=3 and the as the value of x increases the value of y decreases.
The graph of the linear function is given below.
Answer:
The probability of the dart hitting the inner circle is 11.2 %.
Step-by-step explanation:
To solve this problem we first need to find the area of the whole target and the area of the smaller target. Since they're both circular, their area is given by the formula:
area = pi*r²
For the whole target:
area target = pi*(6/2)² = 28.26 ft²
For the inner target:
area inner = pi*(2/2)² = 3.14 ft²
The probability that the dart will hit the inner area is:
p = area inner / area target = 3.14 / 28.26 = 0.112
The probability of the dart hitting the inner circle is 11.2 %.
1.
a. -10/7
b. 5/3
c. 3.02
d. 6 1/2 (it is a bit blury, hard to tell)
explanation- so the opposite of a positive is a negative, the opposite of a negative is a positive. so it is the same for this. for example 10/7 is positive so you make it a negative for it be the opposite.
i would help with the rest, but it is hard when you have to label things on a diagram when you are doing it on a computer like this. sorry!
Answer:
The range of people who voted for other person = 7266 to 7872
Step-by-step explanation:
A phone survey has a margin error of +/– 4%. The range of number of people who will vote for the other candidate if 87 of 114 people said they would vote for the other person.
We get the percentage from this ,
Percentage = 
= 76.3 %
Border percentages = 72.3 and 80.3% (Since error = 4%)
We have already taken vote of 114 people so remaining = 9804
Lower end = 0.723 
9804 = 7266
Upper end = 0.803 9804 = 7872
Hence the range = 7266 to 7872
Answer:
r=4
Step-by-step explanation:
you basically have to create a proportion. .5/12 = x/96. then u cross multiply
