When the lines are parallel, the slopes of these lines are equal.
For a new line,
y = (2/3)x + b.
To find b, we need substitute x and y with values of the point (9,1).
x=9
y=1
1 = (2/3)*9 + b
1 = 6 + b
b=-5
The equation of the line is y = (2/3)x - 5.
Function: f(t) = 11.6 t
Restrictions: 5 ≤ t ≤ 7
Domain: possible values of t: all real values between 5 and 7 inclusive
Range: possible values of f(t): from 11.6 * 5 to 11.6 *7 = from 58 to 81.2, inclusive.
Answer:
the practical domain is all
real numbers from 5 to 7, inclusive. and the practical range is all real
numbers from 58 to 81.2
Answer:
b. P(x)= 4x
c. The graph would go in a straight line touching each point given.
Step-by-step explanation: To find the perimeter of a square you can use the equation 4(x). If you multiply each x value by 4 you'll get the P(x) values.
Answer:
- 0.26
- 0.91
- 1.43
Step-by-step explanation:
given data
mean = 1.9 hours
standard deviation = 0.3 hours
solution
we get here first random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so
P(-0.333 < z < 0.333 )
= 0.26
so random movie is between 1.8 and 2.0 hours long is 0.26
and
A movie is longer than 2.3 hours.
P(x > 2.3)
P(
>
)
P (z >
)
P (z > 1.333 )
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and
length of movie that is shorter than 94% of the movies is
P(x > a ) = 0.94
P(x < a ) = 0.06
so
P(
<
)
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.
Simply collect like terms, numbers and or variables that have the same number and type of variable.
For example 15x^2 and 10x^2 are like terms. Circle the sign in front of the term to perform the correct operation.