X= 0.666095 is the answer
<h2><u>
Answer with explanation:</u></h2>
Let be the average length of time it took the customers in the sample to check out .
As per given , we have
Since , the alternative hypothesis is right-tailed and population standard deviation is known , so we perform right-tailed t-test.
Also, we have n= 100
Sample mean =
Population standard deviation= s= 0.5
Test statistic :
P-value : P(z>2)=1-P(z<2)=1-0.9772=0.0228
[using p-value table for z]
Decision : Since p-value (0.0228) < significance level (0.05), so we reject the null hypothesis .
Conclusion : We have enough evidence to accept that the mean waiting time of all customers is significantly more than 3 minutes.
i.e. At a .05 level of significance, it can be concluded that the mean of the population is <u>more than 3 minutes.</u>
The two angles are complementary, which means that they must add to 90 degrees. This is by definition of what "complementary" means.
let x = measure of angle 6
(measure of angle 5) + (measure of angle 6) = 90 degrees
13 + x = 90
x+13 = 90
x+13-13 = 90-13
x = 77
So the final answer is 77 degrees
Answer:
B
Step-by-step explanation:
Two numbers are relatively prime when there is no integer greater than one that that is a factor of both of them.
A: 15 and 21 both have a factor of 3.
<u>B</u>: 24 and 49 have no common factors, and therefore, are relatively prime.
C. 35 and 135 both have a factor of 5.
D: 45 and 102 both have a factor of 3.
The pattern is: Ducks always swim on that pond <em><u>in powers of 2</u></em> .
Monday ........ 2⁰ = 1
Tuesday ........ 2¹ = 2
Wednesday ... 2² = 4
Thursday ....... 2³ = 8
So
Friday ........... 2⁴ = 16
<em>Saturday ...... 2⁵ = 32</em> <=== the answer
AND ...
If they kept doing this for a month, then
on the 31st day there would be
2³⁰ = <em>1,073,741,824</em> (more than 1 billion) ducks out there !