<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
I hope this helps you
x=10 f(10)=|10+5|=|15|=15
x=-5 f(-5)=|-5+5|=|0|=0
x=0 f(0)=|0+5|=|5|=5
All angles in triangle inside add up to 180
so
the angles are y, 79,37
therefor
y+79+37=180
solvde for y
y+79+37=180
add
y+116=180
subtract 116 from ot hsides
y=64
angle y=64 degrees
Answer:
Domain : all real numbers
Range: All numbers greater than 2
Step-by-step explanation:
The shark. (Haha, I'm sorry.)
There are no restrictions on the x. X can be any real number.
The range, however, does have restrictions. The range has to be a number greater than 0.
Why?
Because any number that you put in for x won't make the range less than 2. If you put in zero for x, the range is 2.
Answer:
25 degrees
Step-by-step explanation:
40 + 50 = 90
2 x 25 = 5
