Answer:
The volume each of the four barrels of the same size will be at least 47.5 liters.
Step-by-step explanation:
Let the volume of each of the four barrels is v liters.
Now, the amount of water that can be held in the fifth barrel is 10 liters. The total capacity of holding water for the 5 barrels combines is at least 200 liters.
So, from the above-given information, we can write the inequality to determine the volume of each of the four barrels will be
10 + 4v ≥ 200
Solving this we get,
4v ≥ 190
⇒ v ≥ 47.5
Therefore, the volume each of the four barrels of the same size will be at least 47.5 liters. (Answer)
<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
4*8
=24
24/2
=12
Perimeter is 12 units
Answer:
A
Step-by-step explanation:
In Arithmetic sequence , 2nd term = first term + d
3rd term = 2nd term + d
In this given explicit formula, we can find that d =2
an ----> n th term; an-1 -----> n-1 th term
an = an-1 th term + 2
9514 1404 393
Answer:
(x, y) = (3, 12)
Step-by-step explanation:
Using the given variable definitions, we can write the equations ...
y = x + 9
2(x +y) = 30
__
Solving the second equation for y, we have ...
y = 15 -x
Substituting this into the first equation gives ...
15 -x = x +9
6 = 2x . . . . . . . . . add x-9
3 = x . . . . . . . . . . divide by 2
y = 3+9 = 12 . . . . substitute into the first equation
The numbers are (x, y) = (3, 12).
