Answer:
a = -2
Step-by-step explanation:
5 + 14a = 9a - 5
Subtract 9a from both sides of the equation
5 + 5a = -5
Subtract 5a from both sides of the equation
5 = -5 - 5a
Add 5 to both sides of the equation
10 = -5a
Divide both sides of the equation by -5
a = -2
Hope this was useful to you!
An 80° angle should be used to shoot the weapon. If you want to precise then it would be an 80.5376° angle. Hope this helps!
Answer:
Mean = 0
Variance = 4/3
Standard Deviation √4/3
a= 0.9
Step-by-step explanation:
If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12
Here a= -2 and b= 2
Now finding the mean = a+b/2=-2+2/2= 0
Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3
Standard Deviation = √Variance= √4/3
b)
= \int\limits^a_a {\frac{1}{a- (-a)} } \, dx
=1/2a[x]^a_-a= 2a/2a= 1 (applying the limits to the function)
P(−a<X<a) =
=1/2 * 2a= a (applying the limits to the function)
P(−a<X<a)= 0.9
a= 0.9
In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.
A. since they choose 4 people to form the committee and all the people chosen are teachers
from 5 teacher, we choose 4, 5C4
and
from 20 parents, we choose none, 20C0
5C4*20C0= 5
b. from 5 teacher choose 2, 5C2
and
from 20 parents choose 2, 20C2
5C2 * 20C2=1900
c.all parents
from 5 teachers choose 0, 5C0
and
from 20 parents choose 4, 20C4
5C0 * 20C4= 4845
d. from 5 teacher choose 1, 5C1
and
from 20 parents choose 3, 20C3
5C1 * 20C3= 5700
9*9=81
2*2=4
81-4=77
77 square feet.
Hope this helps :)