Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17? (–4, –3) (–4, 3) (
2 answers:
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Answer:
Both volumes are the same
Step-by-step explanation:
Volume of cylinder =
r = radius
h = height
Since area of the circle is given on top,
Area of a circle =
We know the area is 12
12 = (we need to find r)
r =
r = 1.954
Now we can find the cylinder's volume:
Volume of cylinder = (6)
Volume of cylinder = 72
To find the volume of the cuboid, we use
Volume of cuboid = lwh
l = length
w = width
h = height
Volume of cuboid = 6 x 4 x 3
Volume of cuboid = 72
This proves that both the volumes are the same.
Answer:
The total surface area of this box is 62.14 square feet
Step-by-step explanation:
Given:
Length = 3.5 feet
Width = 2.2 feet
Height = 4.1 feet
To Find:
The Surface area of the prism = ?
Solution:
The box is the shape of rectangular prism
Then the surface area of the prism = 2(lh +hw +wl)
Where
l is the length
w is the width
h is the height
Substituting the values
The surface area of the prism =
The surface area of the prism = 2(14.35 + 9.02 + 7.7)
The surface area of the prism = 2(31.07)
The surface area of the prism = 62.14 square feet
Answer:
We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh
Step-by-step explanation:
Information provided
represent the sample mean for the usage of electricity
population mean (variable of interest)
represent the population standard deviation
n=1731 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula if we know the population deviation:
(1)
The Confidence level provided is 0.99 or 95%, the value of significance is and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that
And replacing we got:
We are 99% confident that the true mean of electricity comsumption is between (15.6 and 15.8) kWh