Answer:
1.) mean
2.) H0 : μ = 64
3.) 0.0028
4) Yes
Step-by-step explanation:
Null hypothesis ; H0 : μ = 64
Alternative hypothesis ; H1 : μ < 64
From the data Given :
70; 45; 55; 60; 65; 55; 55; 60; 50; 55
Using calculator :
Xbar = 57
Sample size, n = 10
Standard deviation, s = 7.14
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(57 - 64) ÷ 8 / sqrt(10)
Test statistic = - 2.77
Pvalue = (Z < - 2.77) = 0.0028 ( Z probability calculator)
α = 10% = 0.1
Reject H0 ; if P < α
Here,
P < α ; Hence, we reject the null
<em>Rearrange unknown terms to the left side of the equation</em>
![\boldsymbol{\sf{ 9x > 50.4-9 \ \ \longmapsto \ \ \ [Subtract]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%20%209x%20%3E%2050.4-9%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5BSubtract%5D%7D%7D)
<em>Calculate the sum or difference.</em>

<em>Convert decimal to fraction.</em>

<em>Reduce the greatest common factor for both sides of the inequality.</em>
<em> </em>
<em>Reduce the fraction</em>

y = mx + b
m = slope or rate of change
b = y-intercept
x = input
y = output
x = 3y because of corresponding angles theorem
y = x/3
Answer:
y-5=2/3x(12-x) would be point form