Answer:
Below.
Step-by-step explanation:
a. Φ^2 − Φ − 1 = 0
Φ2 − Φ = 1
(Φ - 0.5)^2 - 0.25 = 1
(Φ - 0.5)^2 = 1.25
Φ - 0.5 = √(1.25) (We only take the positive root).
Φ = 0.5 + √(1.25)
b. I used Completing the square.
c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.
Answer:
Deborah is 31; Sarah is 27.
Step-by-step explanation:
Question:
"Deborah is x years old and Sarah is why is the sum of their ages is 58 if Deborah is 4 years older than Sarah find the ages of both women."
"sorry it is y years old."
Solution:
Deborah's age = x
Sarah's age = y
The sum of their ages is 58
x + y = 58
"Deborah is 4 years older than Sarah"
x = y + 4
We have a system of two equations.
x + y = 58
x = y + 4
The second equation is already solved for x, so we can use the substitution method.
Rewrite the first equation, and then rewrite it again substituting y + 4 for x.
x + y = 58
y + 4 + y = 58
2y + 4 = 58
2y = 54
y = 27
Now use the second original equation to solve for x.
x = y + 4
x = 27 + 4
x = 31
x = 31; y = 27
Deborah is 31; Sarah is 27.
We are given
<span>μ > 1180
</span><span>α = 0.02
</span><span>σ = 201.71
x = </span><span>1198.79
n = 200
The null hypothesis is </span>μ ≤ 1180 while the alternative hypothesis is μ > 1180
The test statistic is 1.32 which means that the confidence internval is 98%. Getting the z-score
z = (x - μ) / σ
z = (1198.79 - 1180) / 201.71
z = 0.093
For a normally distributed population, the z-score of 0.093 has a p-value of
p = 0.46
Answer:
6x-30
Step-by-step explanation:
Just multiple like this (6)(x-5)
