Answer:
points
Step-by-step explanation:
Answer:
Step-by-step expla
To find the volume of a cone, use the equation: V = 1/3Bh.
In this equation, V is the volume, B is the base, and h is the height.
We are given that the base is 12 inches, and the height is 18 inches. With those necessary values, we can substitute those values, and calculate it.
V = 1/3(12)(18)
V = 4(18)
V = 72.0
Therefore, the volume of this glass is 72.0 cubic inches.
Answer:
81 samples
Step-by-step explanation:
According to the empirical rule :
Possible values of the sample mean is within 3 standard deviations of the population mean :
μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.
3 * sd(x) = 1
sd(x) = 1/3
Recall:
Standard deviation of sampling distribution, sd(x)
sd(x) = σ / sqrt(n)
1/3 = 3 / sqrt(n)
Square both sides
1/9 = 9/n
Cross multiply :
n * 1 = 9 * 9
n = 81
Answer:
See explanation
Step-by-step explanation:
<u> ASA Postulate (Angle-Side-Angle):</u>
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider triangles XYB and ZYA. In these triangles
- ∠X≅∠Z (given)
- XY≅ZY (given)
- ∠Y is common angle
By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so
BX≅AZ