for #1 it is y=-3/2x+4 the -3/2 is the slope and the 4 is the y intercept
for #2 it is y=6/+2 the 6/2 is the slope and the 2 is the y-intercept
the y-intercept is where the line passes through the y axis
Answer:
1
Step-by-step explanation:
Given :
Mean, μ = 4
Standard deviation, s = 0.8
Sample size, n = 30
The distribution is independent.
Z = (x - μ) / s /sqrt(n)
Probability that downtime period is between 1 and 5
P(1≤ x ≤ 5) :
[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]
[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]
[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]
P(-20.539602 ≤ Z ≤ 6.8465342)
P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)
P(Z ≤ 6.8465342) = 1 (Z probability calculator)
P(Z ≤ - 20.5396) = 0 (Z probability calculator)
1 - 0 = 1
It’s percentages AND ITS NOT pie because he didn’t ask which chart he said what is graphed ON THIS chart
Answer:
x = 12
Step-by-step explanation:
Simplifying
6x + -2(-3x + -5) = 154
Reorder the terms:
6x + -2(-5 + -3x) = 154
6x + (-5 * -2 + -3x * -2) = 154
6x + (10 + 6x) = 154
Reorder the terms:
10 + 6x + 6x = 154
Combine like terms: 6x + 6x = 12x
10 + 12x = 154
Solving
10 + 12x = 154
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 12x = 154 + -10
Combine like terms: 10 + -10 = 0
0 + 12x = 154 + -10
12x = 154 + -10
Combine like terms: 154 + -10 = 144
12x = 144
Divide each side by '12'.
x = 12
Simplifying
x = 12
