Answer:
We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 29
Sample mean, 
= 30
Sample size, n = 47
Alpha, α = 0.05
Population standard deviation, σ = 5
First, we design the null and the alternate hypothesis
a) This is a one-tailed test because the alternate hypothesis is in greater than direction.
We use One-tailed z test to perform this hypothesis.
b) 
, we reject the null hypothesis and accept the alternate hypothesis and if 
, we accept the null hypothesis and reject the alternate hypothesis.
c) Formula:
Putting all the values, we have
d) Now, 
Since,
We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.
e) P-value is 0.0853
On the basis of p value we again accept the null hypothesis.
Angles E and K are alternate exterior angles
Answer:
(1, 4.5 )
Step-by-step explanation:
The required point is at the midpoint of AB
Use the midpoint formula
Given A(4, 3) and B(- 2, 6 ), then
midpoint = [ 0.5(4 - 2), 0.5(3 + 6) ] = (1, 4.5 )
Answer:
see below
Step-by-step explanation:
defining variables:
since you are trying to find t shirt cost and jeans cost, your variables would be
the cost of the t shirt and the cost of jeans, denoted by any variable you want.
I'll use x and y since they are the most common variables (x = shirt y = jeans)
Equation
4 shirts + 5 jeans = 160 dollars
4x + 5y = 160 (the cost of 4 shirts + the cost of 5 jeans is $160)
the cost of 2 shirts + 6 jeans = $150
2x + 6y = 150
Look kid, this question has been up for 16 hours think its time to let it go......... hoped i helped. ✔verified✔
