Which is a solution to x + 3 = 2x - 8?
1 answer:
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Answer:Rate of change is 7
Option B is correct.
Step-by-step explanation:
We need to find the average rate of change for from x = 4 to x = 6
The formula used to find average rate of change is:
Where b = 6 and x = 4
Finding f(6):
Finding f(4):
Now Putting values:
So, Rate of change is 7
Option B is correct.
Keywords: Rate of Change
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<h2><u>Answer with explanation</u>:</h2>
Let be the average life of light bulbs.
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic :
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For , we have
Using z-value table , Critical one-tailed test value for 0.06 significance level :
Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life
Answer:
Slope = 1
Step-by-step explanation:
The table gives the values of y corresponding to the values of x.
At x =5, y = 2.
At x = 7, y = 6 and
At x = 10, y = 7
Now, we have to determine the slope between points where x = 5 and where x = 10.
Now, the two concerned points are (5,2) and (10,7) and we have to find the slope between those two points.
Now, slope, (Answer)