Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?
A. 
B. 
C. 
D. 
Answer:
B.
Step-by-step explanation:
Given
Equation 1:
Equation 2:
Required:
Equivalent of equation 2
To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2
Open the bracket
Simplify fraction
Divide through by 2
Re-arrange
The next step is to compare each of option A through D with
A.
is not equal to
We check the next available option
B.
is equal to
This option is equivalent to the second equation in slope-intercept form.
We check further if there are more equivalent options
C.
Convert fraction to decimal
This is not equal to
D.
Convert fraction to decimal
This is not equal to
Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B
the choices are below
the predicted mean of the population will be less than 200.
The predicted mean of the population will be less than 245.
The predicted mean of the population will be more than 275.
The predicted mean of the population will be more than 250.
b is the answer
Answer:
Events E and F are not independent if the probability of event E occurring is affecting the probability of event F occurring.
Step-by-step explanation:
Two events are independent when the probability of one event occurring has no connection with that of the other event.
Example, when you toss a coin and roll a six sided die, the probability of getting a head or a tail has no connection with the probability of getting any number face.A real life example will be the probability going to the mall and owning a cat at home.These two have no influence on one another.
Mathematically independent events can be calculated as;
P(E∩F)=P(E)-P(F)
Answer:
h(1) = 1, h(2) = 3, h(3) = 4
Step-by-step explanation:
Given function h(x)
<u>Need to find :</u>
<u>h(1) falls under the second condition as -2 ≤1<2:</u>
- h(1) = - (x-1)² + 1 = -( 1 - 1)² + 1 = 1
<u>h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:</u>
- h(2) = 1/2x + 2 = 1/2*2 + 2 = 1 + 2 = 3
- h(4) = 1/2x + 2 = 1/2 * 4 + 2 = 2 + 2 = 4
