Answer:
X=15
y=17
Step-by-step explanation:
4y+112=180
4y=180-112
4y=68
y=68/4
y=17
7x+7=112
7x=112-7
7x=105
X=105/7
X=15
Answer:
Extrapolation
Step-by-step explanation:
Given the data:
Distance (mi): 2 2.5 3 3.5 4
Time (min): 23 28 34 34 40
Line of best fit for the data:
y = 8x + 8
Making use of the best fit equation to make prediction of time is an example of extrapolation. This is because our result will be based in the fact that further prediction of the time it takes for any predicted distance will follow the same trend. Hence, it is important to note that a best fit line or regression model uses extrapolation techniques to make predictions.
Hence,
For the above ; estimate for X =5 will be ;
y = 8(5) + 8
y = 40 + 8
y = 48 minutes
Answer:
Response Error
Step-by-step explanation:
Answer:
7/16
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Proportion of defective televisions in the shipment = 15/240 = 1/16
Probability that 1 of the 7 chosen is defective = 1/16 x 7 = 7/16
The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
<h3>
What is inverse of a function?</h3>
An inverse of a function is a function that serves to replace another function.
That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .
Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.
The inverse of the given function; f(x)= 3x − 12 is calculated as follows;
y = 3x - 12
replace y with x and x with y as shown below;
x = 3y - 12
now, solve for y
x + 12 = 3y
divide both sides of the equation by 3
x/3 + 12/3 = 3y/3
x/3 + 4 = y
f⁻¹(x) = x/3 + 4
Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
Learn more about inverse of a function here: brainly.com/question/3831584
#SPJ1
The complete question is written below:
find the inverse of the function, f(x) = 3x - 12