Evaluate the expression. 5 x (-6 / -1 + -10)
1 answer:
Answer:
-20
Step-by-step explanation:
According to PEMDAS, we need to do the math in the parentheses first.
Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.
Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.
Subtracting, we get 6 - 10 = -4 and we're left with:
Multiplying, <u>our final answer is -20.</u>
Hope this helps!
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<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:
3.8m
Step-by-step explanation:
Since Lara is putting lace trim around the border of a circular tablecloth, by the time she finishes she has covered the circumference.
The circumference of a circle is calculated using:
where d is the diameter of the circle.
It was given that the diameter of the circular table cloth is 1.2 meters.
Therefore the length of the lace she needed is 3.8m