Answer:
7/30
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
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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
Okay, so:
You would want to find what 1/10 of the laptop costs. That would be the 10% of money left in Kai's account.
So,
423*.1
(you have to turn the percentage into a decimal; 10%= .10
423*.1= 42.3
So, Kai has 42.3 dollars left to buy a scanner. He only has 10% of his bank account left to spend on the scanner.
I hope this helps!
~cupcake
Answer:
acute base angle = 74° , obtuse base angle = 106°
Step-by-step explanation:
Since the large triangle is isosceles with vertex angle (top angle) is 32, then the bottom 2 angles would be same (let it be x):
We know angles of triangle add up to 180, so we have:
x + x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
This 74 degree angle is the base acute angle of the isosceles trapezoid (lower portion). We also know opposite angles of isosceles trapezoid are supplementary (add up to 180), thus
obtuse angle + 74 = 180
obtuse angle (base) = 180 - 74 = 106
Thus, acute base angle = 74° , obtuse base angle = 106°
To solve quadratics, the most correct and effective way, in my opinion, is the quadratic formula:

<span><span>
Plugging it in, we get:
</span></span>

So the final answer is:

and