Answer: 0.8413
Step-by-step explanation:
population mean = 3
population variance = 0.03
sd (standard deviation) = √0.03
Let x = sample mean
x has a mean of 3 and sd of √0.03/√3 = √0.01 = 0.1
And we can aprox the sample mean distribution using a normal distribution
Note: this approximation maybe is not so good (n = 3)
with mean = 3 and sd = 0.1
z = (x-3)/0.1 has a standard normal distribution
P(x<3.1) = P(z<(3.1-3)/0.1) = P(z<1) =0.8413
Answer:
1. AB ~= DF
2. Definition of Congruent
3. Reflexive Property of Congruency
4 BD=BD
6. AB+BD=AD; DF+BD=BF
7. Substitution Property of Equality
8. Definition of Congruent
Step-by-step explanation:
1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).
2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.
3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.
4. Remember if something is congruent then it is equal.
6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.
7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.
8. If two things are congruent then they are equal by definition of congruency.
Answer:
x = 1 or x = -4 or x = -6 thus d: is your answer
Step-by-step explanation:
Solve for x over the real numbers:
x^3 + 9 x^2 + 14 x - 24 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (x + 6) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or x + 6 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or x + 6 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or x + 6 = 0
Subtract 6 from both sides:
Answer: x = 1 or x = -4 or x = -6
You will get the answer on cross multiplying
31/4 = x
4/5 = $5.6
(31/4 x 5.6)/4/5 = x
(31/4 x 5.6) x 5/4 = x
x = $54.25
Hope this helps you!
