The correct answer is B.
In order to prove which of the function rules provided is the one corresponding to the schedule represented by the table, the different y-values need to be sustituted in the function rules. <u>Only the correct function rule will yield the corresponding x-value. </u>
<u>Let's prove that option B is the correct one</u>
FUNCTION B y= 5x - 14
- If x= -4 --> substituting: 5(-4) - 14= -20 - 14= -34 therefore, y= -34 <u>CORRECT</u>
- If x= -1 --> 5(-1)-14 = -5 - 14= -19 therefore y= -19 <u>CORRECT</u>
- If x= 2 --> 5(2) - 14= 10-14= -4, therefore y= -4 C<u>ORRECT</u>
- If x= 4 --> 5(4)-14= 20-14= 6, therefore y=6<u> CORRECT</u>
- If x= 7 --> 5(7) -14= 35-14= 21, therefore y=21 <u>CORRECT</u>
The selected answer is correct
Answer:
P ( 1.2 < X < 2.1 ) = 0.3
Step-by-step explanation:
Given:
Uniform distribution over interval (0,3) can be modeled by a probability density function f(x)
f(x) = 1 / (b - a)
Where a < x < b is the domain at which function is defined:
f(x) = 1 / (3) = 1 / 3
Where, X - U ( u , δ )
u = ( a + b ) / 2 = (0 +3) / 2 = 1.5
δ = ( b - a ) / sqrt (12) = (3 - 0) / sqrt (12) = 0.866
Hence,
X - U ( 1.5 , 0.866 )
There-fore calculating P ( 1.2 < X < 2.1 ):

Where, a = 1.2 and b = 2.1
P ( 1.2 < X < 2.1 ) = x / 3 |
P ( 1.2 < X < 2.1 ) = 2.1 /3 - 1.2 / 3 = 0.3
Answer: P ( 1.2 < X < 2.1 ) = 0.3
Answer:
x < 7
Step-by-step explanation:
Given
2x - 5 < 9 ( add 5 to both sides )
2x < 14 ( divide both sides by 2 )
x < 7
Answer:
22
lets say that mike's age is x.
then gabrielle's age is 3x
that means that
x+3x=88
4x=88 /:4
x=22