First you would do parenthesis according to the PEMDAS(Parenthesis, Exponents, Multiply, Divide, Add, Subtract) Rule
4 -2(-5a -10) = 30
4 + 10a + 20 = 30
Now you need to add 4 and 20 because they are on the same side
24 + 10a = 30
Now subtract 24 on both sides
24 + 10a = 30
-24. -24
10a = 6
Last divide 10 from both sides
10a/10. = 6/10
a= 6/10
Last simplify (optional but recommended)
a = 3/5 or 0.6
Hope this helped :)
A = 0.6
3. = 6/12
6. = 4/6
9. = 8/12
12. = 9/12
15. = 9/9
18. = 4/6
Hope this helps !
Answer:The mean number of checks written per day = 0.3370
The standard deviation = 0.5805
The variance = 0.3370
Step-by-step explanation:
Let the random variable x represent the number of checks he wrote in one day.
Given : The number of checks written in last year = 123
Let the number of days in the year must be 365.
Now, the mean number of checks written per day will be :-
We know that in Poisson distribution , the variance is equals to the mean value .
Thus, Standard deviation = 0.5805
<h3>
Therefore they are perpendicular.</h3>
Step-by-step explanation:
A equation of line is
y =mx +c
Here the slope of the line is m.
Given equations are
x - 2y = 18
⇔-2y = -x +18
............(1)
and 2x + y = 6
⇔y = -2x +6 ............(2)
Therefore the slope of equation (1) is=
Therefore the slope of equation (2) is= -2
If two lines are perpendicular, when we multiply their slope we get -1.
therefore,
=. (-2) = -1
Therefore they are perpendicular.
Answer:
Y is 90 degrees.
Step-by-step explanation:
This is an equalterial triangle which means all of the angles are the same. The angle for the upper part of the triangle is 60 as well. We can do 2x=60 because they add up to the angle which is 60. This gives us x=30. If x=30 and the other angle is 60, then the other angle has to be 90 because all triangle has an angle sum of 180. So 30 +60 + 90= 180. Hope this helps!