Answer:
$1226.78<x<$1301.22
Step-by-step explanation:
The formula for calculating confidence interval is expressed as;
CI = xbar ± z×(s/√n)
Given
Mean (xbar) = $1264
z is the z score at 90% CI = 1.645
s is the standard deviation = $150
n is the sample size = 44
Substitute
CI = 1264±1.645(150/√44)
CI = 1264±1.645(150/6.63)
CI = 1264±1.645(22.624)
CI = 1264±37.22
CI = (1264-37.22, 1264+37.22)
CI = (1226.78, 1301.22)
Hence the confidence interval of the mean is $1226.78<x<$1301.22
The steps to determine whether the pillars have the same volume are;
First, we must know that the volume of an object of uniform surface area is the product of its Area and height.
The uniform area of each pillar is then evaluated and if equal;
Both pillars can be concluded to have the same volume.
We must first recall that for various shapes, the volume of the shape is a function of its height.
For example: a A cylinderical pillar and a rectangular prism pillar;
Volume of a cylinder = πr²h
Volume of a Cuboid = l × w × h
Since h = h.
Therefore, for both pillars to have the same volume; their Areas must be equal.
πr² = l × w
Learn more about Area and volume here
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Answer:
2406.17 cm³
Step-by-step explanation:
The following data were obtained from the question:
Height (h) = 24.4 cm
Base length (L) = 17.2 cm
Volume (V) =?
Next, we shall determine the base area of the pyramid. This can be obtained as follow:
Base length (L) = 17.2 cm
Base area (B) =.?
B = L × L
B = 17.2 × 17.2
B = 295.84 cm²
Finally, we shall determine the volume of the pyramid. This can be obtained as follow:
Height (h) = 24.4 cm
Base area (B) = 295.84 cm²
Volume (V) =?
V = ⅓Bh
V = ⅓ × 295.84 × 24.4
V = 2406.17 cm³
Thus, we volume of the pyramid is 2406.17 cm³
I don’t have the time to do this, but there is a app called Socratic where you can take a pic of your homework and it searches everything on google.
That’s how I got Brainly
It would be 3 beacuse w=3
