Answer:
36/3*4
Step-by-step explanation:
Brainliest please!
Answer:
21
Step-by-step explanation:
1/5 * 35 = 7
7*3 = 21
<h2><u>
Answer with explanation</u>
:</h2>
Let
be the average life of light bulbs.
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Formula for Test statistic : 
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For
, we have

Using z-value table , Critical one-tailed test value for 0.06 significance level :

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .
[We reject the null hypothesis when critical value is less than the test statistic value .]
Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life
Answer:
Step-by-step explanation:
There are four axioms to prove the triangles are contruent.They are
SSS(side side side axiom)
SAS(side angle side axiom)
AAS(angle angle side axiom)
ASA(angle side angle axiom)
RHS (right angle hypotenuse side axiom)
here two triangles are congruent by RHS axiom
Because the order doesn't matter on where each person sits use the combinations formula:
C = n! / (r!(n-r)!)
Where n is the total number of people and r is the number of chairs.
C = 6! / (4!(6-4)!)
C = (6*5*4*3*2*1) / ((4*3*2*1(2*1))
C = 720 / (24*2)
C = 720 / 48
C = 15
There are 15 different arrangements.