Answer:
(a) 12 hours
(b) $220
Step-by-step explanation:
(a) First we plug in $364 for C
C=76+24h
364=76+24h
Subtract 76 from both sides
24h=288
Divide both sides by 24
h=12
She spent 12 hours fixing the drain
(b) First we plug 6 hours in for h
C=76+24(6)
Multiply it out
C=76+144
Add
C=220
It costs $220 for fixing a drain that takes 6 hours
The volume of a pyramid is given by:
![V=\frac{1}{3}\cdot A_b\cdot h\text{.}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20A_b%5Ccdot%20h%5Ctext%7B.%7D)
Where:
• Ab is the area of the base,
,
• h is the height.
In this case, we have:
• a = 3 units,
,
• b = 7 units,
,
• c = 9 units,
,
• Ab = b * c,
,
• h = a = 3 units.
Replacing the data in the formula above, we get:
![V=\frac{1}{3}\cdot(b\cdot c)\cdot a=\frac{1}{3}\cdot(7\text{ units}\cdot9\text{ units})\cdot3\text{ units }=63units^3\text{.}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Ccdot%28b%5Ccdot%20c%29%5Ccdot%20a%3D%5Cfrac%7B1%7D%7B3%7D%5Ccdot%287%5Ctext%7B%20units%7D%5Ccdot9%5Ctext%7B%20units%7D%29%5Ccdot3%5Ctext%7B%20units%20%7D%3D63units%5E3%5Ctext%7B.%7D)
Answer: 63 units³
Answer:
16.50
Step-by-step explanation:
Answer:
Upper confidence level (UCL) = 29367.875
Lower confidence level (LCL) =23061.064
Step-by-step explanation:
Given : sample mean=26214.47
sample standard deviation=5969.25
sample size=15
degree of freedom=14
t critical value for 94% confidence with 14 degree of freedom=2.046
To Find : Upper confidence level (UCL) =?Lower confidence level (LCL) =?
Solution:
Formula for confidence interval = ![\left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20%5Cbar%7BX%7D%20%5Cpm%20t_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%20%5Ctimes%20%20%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%20%5Cright%29)
sample mean=
=26214.47
sample standard deviation = s =5969.25
sample size = n =15
t critical value for 94% confidence with 14 degree of freedom
=2.046
Substitute the values in the formula :
confidence interval = ![26214.47 \pm 2.046 \times \frac{5969.25}{\sqrt{15}}](https://tex.z-dn.net/?f=26214.47%20%5Cpm%202.046%20%5Ctimes%20%20%5Cfrac%7B5969.25%7D%7B%5Csqrt%7B15%7D%7D)
confidence interval =
to ![26214.47 + 2.046 \times \frac{5969.25}{\sqrt{15}}](https://tex.z-dn.net/?f=26214.47%20%2B%202.046%20%5Ctimes%20%20%5Cfrac%7B5969.25%7D%7B%5Csqrt%7B15%7D%7D)
confidence interval =
to ![29367.875](https://tex.z-dn.net/?f=29367.875)
Hence Upper confidence level (UCL) = 29367.875 and Lower confidence level (LCL) =23061.064
Finding how much fence Angela needs to put in garden can be found by finding the perimeter of the walls that are not blocked by anything. For example, the house is blocking one side of the garden.
We can write this expression as: 2x + 2x + x
After solving we get 5x.
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Best Regards,
Wolfyy :)