Answer:
B
Step-by-step explanation:
Let's create an equation in point-slope form, which is: , where is the point and m is the slope.
Here, our point is (-2, 7) and our slope is m = -5 so plug these in:
Now, if (a, 2) lies on this line, then it should satisfy the equation. So plug in a for x and 2 for y:
2 - 7 = -5(a + 2)
-5 = -5(a + 2)
Divide by -5:
1 = a + 2
Subtract 2 from both sides:
a = -1
Thus, the answer is B.
Hope this helps!
The Pythagorean theorem is a^2+b^2=c^2. a and b are the legs of the triangle and c is the hypotenuse.
5^2+12^2=c^2
25+144=c^2
169=c^2
c=13
Answer:
We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh
Step-by-step explanation:
Information provided
represent the sample mean for the usage of electricity
population mean (variable of interest)
represent the population standard deviation
n=1731 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula if we know the population deviation:
(1)
The Confidence level provided is 0.99 or 95%, the value of significance is and , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that
And replacing we got:
We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh
The real roots are 3 and -3.
Imaginary roots:-
x - (2 - i) = 0
x = 2 -i is one imaginary root and the other is 2 + i
Answer:
Rahm: 0.8
Bain: 1.2
Step-by-step explanation:
For this, they ask for the rate of change or slope. To find slope you can use slope formula to get your slope/rate of change.
Steps for Rahm:
We can take points (10,8) and (20,16) and find the slope with the following formula:
This is the rate of change for Rahm
Steps for Bain:
Take the points (5,6) and (11,13.2) and plug them into the Slope Formula:
Therefore, Bain hiked faster than Rahm for he had the higher rate of change compared to Rahm.