Answer:Tn=29-2n
Step-by-step explanation:
Firstly u determine the differences between the terms and see if it's common. These case the common difference is -2 which means these is a linear pattern.
Now Tn=a+(n-1)d
Tn=27+(n-1)(-2)
Tn=27-2n+2
Tn=29-2n
Answer:
(0,1)
Step-by-step explanation:
The slope of the function is
m= (y2-y1)/(x2-x1)
m= (3-2)/(8-4)
=1/4
We can find the equation of the line by using the point slope form
y-y1 = m(x-x1)
y-2 = 1/4(x-4)
Distribute
y-2 = 1/4x -1
Add 2 to each side
y-2+2 = 1/4x -1+2
y = 1/4x+1
This is in the form y = mx+b where m is the slope and b is the y intercept
The slope is 1/4 and the y intercept is 1
y intercept is where x =0
(0,1)
Answer:
The probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
Step-by-step explanation:
Let the random variable <em>X</em> represent the amount of gas in Sarah's car.
It is provided that .
The amount of gas in a car is a continuous variable.
So, the random variable <em>X</em> follows a continuous uniform distribution.
Then the probability density function of <em>X</em> is:
For a continuous probability distribution the probability at an exact point is 0.
So, to compute the probability that the amount of gas in Sarah's car is exactly 7 gallons use continuity correction on both sides:
P (X = 7) = P (7 - 0.5 < X < 7 + 0.5)
= P (6.5 < X < 7.5)
Thus, the probability that the amount of gas in Sarah's car is exactly 7 gallons is 0.067.
Solution:
<u>Note that:</u>
- Given inequality: 3 < x + 3 < 6
<u>Solving the inequality one by one.</u>
- 3 < x + 3
- => -3 + 3 < x
- => 0 < x
- => x + 3 < 6
- => x < 6 - 3
- => x < 3
The inequality is <u>0 < x < 3.</u>
Answer:
Step-by-step explanation:
-1 ¼ is more to the right