Answer:
Step-by-step explanation:
13 , 52
Here 13 is a prime number. So, check if 52 is a multiple of 13.
Yes, 13*4 = 52
LCM = 52
Answer:
120 cubes
Step-by-step explanation:
Find the volume of the prism and then divide it by the volume of one cube (which is 1/27 cm):
V = length*width*height = (5/3 cm)(4/3 cm)(2 cm) = 40/9 cm³.
Dividing this result by 1/27 yields
40 27 40*3
------ * ------ = -------------- = 120
9 1 1
120 cubes (answer)
<u>Given</u>:
The given expression to find the nth term of the sequence is 
The first term of the sequence is 
We need to determine the third term of the sequence.
<u>Second term:</u>
The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.
Thus, we have;




Thus, the second term of the sequence is -40.
<u>Third term:</u>
The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.
Thus, we have;



Thus, the third term of the sequence is 120.
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.
June=1,225
April=1,225
May=1,225
All June April and May is 3,675 haircuts