Answer:
The slope is m= 4 and the y intercept is b= 9
Step-by-step explanation:
The slope is found by using change in y over change in x, or rise over run. From the table, this means, how much does y change for every time x goes up. As you can see, every time x increases by one, y increases by 4. So that´s your slope. The y intercept is when the line crosses the y axis, where x=0. Because you already know the slope, and that when x is one, y is 13, all you have to do is to know that going backwards by one for x means going backwards by 4 for y, and 13-4 is 9.
Average rate of change of the function:
Step-by-step explanation:
The average rate of change of a function f(x) can be calculated as:
where:
are the x-values of the interval taken into account to evaluate the rate of change of the function
are the values of the function at those points
In this problem, we have:
The function is , so
So, the average rate of change in this interval is:
Learn more about rates of change:
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The equation would be
letter b. 25h + 20 (15 - h) = 350
Let’s try to solve to get the value of h
=> 25h + 20(15 -h) = 350
=> 25h + (300 – 20h) = 350
=> 25h + 300 – 20h = 350
=> 300 + 5h = 350
=> 5h = 350 – 300
=> 5h / 5 = 50/ 5
=> h = 10
Thus the value of h is 10 which means a car travel on the highways and
used 10 gallons of gasoline,
Let the amount Nick gets = x
Angad gets 3x ( 3 times as much as Nick)
Peter gets 6x (Twice as much as Angad)
Add together to equal the total amount:
x + 3x + 6x = 200
Simplify:
10x = 200
Divide both sides by 10:
x = 20
Angad gets 3x = 3(20) = 60
Answer:
CI=[0.8592,0.9402]
Yes, Method appears to be effective.
Step-by-step explanation:
-We first calculate the proportion of girls born:
Since np, we assume normal distribution and calculate the 99% confidence interval as below:
Hence, the confidence interval is {0.8598, 0.9402]
-The probability of giving birth to a girl is 0.5 which is less than the lower boundary of the confidence interval, it can be concluded that the method appears to be effective.