Answer: 18
Step-by-step explanation:5 (3)- (2)+5
15 - (2) + 5
13 + 5
=18
Answer is 18
I'm assuming the equation is x^3 = 216 or

(both mean the same thing)
If so, then the solution to x^3 = 216 is
x = 6
<span>We can find this by taking the cube root of both sides
</span>x^3 = 216
x = 216^(1/3) .... 1/3 power means cube root
x = 6
Checking the answer:
x^3 = 216
6^3 = 216
6*6*6 = 216
216 = 216
Answer is confirmed
So once again
the answer is x = 6. This is assuming the initial assumption made at the top of the problem holds up.
<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:
83%
Step-by-step explanation:
65/78=.83333333333333
0.833333333 turnes into 83% once rounded and multipyled by 100
Answer:
m = -2
Step-by-step explanation:
24 = -6(m + 1) + 18 (Given)
24 = -6(m) + -6(1) + 18 (Distributive Property of Equality)
24 = -6m - 6 + 18 (Simplify)
24 = -6m + 12 (Simplify)
24 - 12 = -6m + 12 - 12 (Subtraction Property of Equality)
12 = -6m (Simplify)
(Division Property of Equality)
-2 = m (Simplify)
m = -2 (Distributive Property of Equality)