Answer:
1.39
Step-by-step explanation:
Creating a table:
X :___0 __ 1 __ 2 ___ 3 ____ 4 ___ 5 ___ 6
P(x):0.02_0.03_0.07, 0.12, 0.30_ 0.28_0.18.
The standard deviation = sqrt(Var(x))
Var(x) = Σx²*p(x) - E(x)²
E(x) = ΣX*p(x)
E(x) = (0*0.02) + (1*0.03) + (2*0.07) + (3*0.12) + (4*0.30) + (5*0.28) + (6*0.18) = 4.21
Var(X) :
((0^2*0.02) + (1^2*0.03) + (2^2*0.07) + (3^2*0.12) + (4^2*0.30) + (5^2*0.28) + (6^2*0.18)) - 4.21^2
19.67 - 17.7241
= 1.9459
Standard deviation = sqrt(Var(X))
Standard deviation = sqrt(1.9459)
Standard deviation = 1.3949551
= 1.39
B because you are looking for an equation in the problem so if it starts at 16 and you are adding 2 gallons per hour you get 16+2x. Then for the other tank you start with 20 gallons and you are loosing 3 gallons per hour so you get 20-3x. To solve the equation you make them = each other so then you have 16+2x=20-3x.
<span>1. You have 3 chances in 12 of picking a pencil ===> 3/12 = 1/4
2 You have 5 chances in 8 of picking a colored pencil ===> 5/8
3. The probability of doing both is the product of the two ===> 1/4 * 5/8 = 5/32 </span>
The value of n that satisfies the inequality is 6.
<h3>What is inequality?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
4n − 12 < 2n + 2
For n= 6
4(6) - 12 = 12
2(6) + 2 = 14
Thus, n=6 satisfies
For n= 7
4(7) - 12 = 16
2(7) + 2 = 16
Thus, n=7 not satisfies
For n=8
4(8) - 12 = 20
2(8) + 2 = 18
Thus, n=8 not satisfies.
For n= 9
4(9) - 12 = 24
2(9) + 2 = 20
Thus, n=9 not satisfies.
Learn more about inequality here:
brainly.com/question/20383699
#SPJ1
Answer:
-10
Step-by-step explanation:
On the number line -9 appear before -10. Thw futher the number, the smaller it gets
