Step-by-step explanation:
it is very simple :
the midpoint coordinates are created as the midpoint of the x coordinates, and the midpoint of the y coordinates.
the x coordinate of the midpoint is
(0 + 10)/2 = 10/2 = 5
the y coordinate of the midpoint is
(-2 + -6)/2 = -8/2 = -4
5) Lets use x for the unknown middle side. Since all the sides have to equal to perimeter, we can set everything equal 43.
(x-3)+x+(2x-2)=43
That would be your equation.
6) Knowing what we know from the previous problem, we can set the equation to 27.
(x-3)+x+4(x-3)=27 (we can plug in x-3 to represent the first side)
7) Since all the sides have to equal to perimeter, we can set everything equal 25.
a=2b-2
c=b+3
(2b-2)+b+(b+3)=25
Hello!
Looking for a Genius Answer? Here It Is!
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 150 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 150, so we can write it down as 100%=150.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=150
2) x%=25
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=150/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 25 is what percent of 150
100%/x%=150/25
(100/x)*x=(150/25)*x - we multiply both sides of the equation by x
100=6*x - we divide both sides of the equation by (6) to get x
100/6=x
16.6666666667=x
x=16.6666666667
now we have:
<span>25 is 16.6666666667% of 150
</span>
Hope this Helps! Took Me Time! Have A Wonderful Day! :)
Options:
H0 :
H0 : µ =12
H0 > 12> H1
None of these
Answer:
None of these
Step-by-step explanation:
The answer is
H0 : µ ≧ 12
Ha : µ<12
We formulate the null and alternative hypothesis here to state that battery life of the laptop lasts at least 12 hours(more than but not less, null hypothesis) or that it lasts less than 12 hours(alternative hypothesis).
The null hypothesis is the one being tested to know whether we would reject it or not in which case we choose the alternative hypothesis. To test the hypotheses, we do a t test using a significance level of say 0.05(95% confidence interval) and find our p value in order to compare and decide if the null hypothesis would be rejected or not based on statistical significance.
Answer:
720 mi²
Step-by-step explanation:
The map has a scale of 1 in: 30 mi, meaning that for every inch you see on the map, in the real-life location, it will measure 30 miles. So we can find the area of the park on the map and then turn it into miles using the scale:
Area of a rectangle:
Replace the known values:
The area on the map is 24 mi², we can turn it to miles using the scale by multiplying our result with 30:
And last but not least, don't forget to put the unit!
