Answer:
E. -0.723
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
Step-by-step explanation:
Information provided
represent the sample mean for the length
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
since we don't know the population deviation the statistic is:
(1)
Replacing in formula (1) we got:
E. -0.723
P value
The degrees of freedom are given by:
Since is a two tailed test the p value would be:
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
<u>We are given:</u>Distance covered by the fastest man in 9 seconds = 100m
<u>To Find: </u>The distance covered in 1 min 2 seconds or 62 seconds
<u>Finding the Speed of the man:</u>
We know that:
speed = distance covered / time taken
Speed = 100 / 9 <em>(we are given that he travels 100 m in 9 seconds)</em>
Speed = 11.11 m/s
<u>Distance travelled in 62 seconds:</u>
We know that:
distance covered = speed * time
<em>replacing the value of speed and time</em>
Distance = 11.11 * 62
Distance = 688.82 m
hi
if x= 2+4y-5 then x-2 +5 = 4y so y = (x-2+5) /4 = ( x+3) /4
conclusion y = (x+3)/4
Answer:
(x + 2)(4x - 2).
Step-by-step explanation:
(x+2)(2x+1)+(x+2)(2x-3)
Note that (x + 2) is common to 2 parts of the expression. So we have:
(x + 2)(2x + 1 + 2x - 3)
= Ix + 2)(4x - 2)
Since a line is equal to 180 degree
you pick one that has the variable x in it.
For example: 5x=180
180/5=36
therefore x=36
2. 6x=180
180/6= 30
x=30
