An arc, a circle and a sphere describe a geometric figure consisting of the set of points in a plane that are the same distance from a given point.
An arc is any two connected sections of the circumference of a circle. Whereas an arc consists of the set of points in a plane that are the same distance from a given point it does not consist ALL the points.
A circle is a simple closed shape in consisting of the set of all points in a plane that are at a given distance from a given point, called the centre of the circle. A circle is a 2-dimensional figure and thus does not contain set of points in the 3-dimensional plane. Hence a circle does not consist ALL the points in a plane that are at a given distance from a given point.
A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball. Like a circle, which geometrically is an object in two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance, r, from a given point, but in three-dimensional space. This distance, r, is the radius of the sphere, and the given point is the center
of the sphere.
Thus, the sphere<span> consists of the set of ALL points in a plane that are the same distance from a given point.</span>
Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.
10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.
From above
So
The mean is
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Answer:
Step-by-step explanation:
Remember that
1 kg=1,000 g
1 m= 100 cm
The volume of the granite countertop in cubic centimeters is equal to
The density in kg per cubic centimeter is equal to
Multiply the density by the volume
Answer:
Option F is correct, i.e. "rotating 90° counterclockwise around point C."
Step-by-step explanation:
Given is the regular octagon PQRSTVWZ with its center at point C.
To map octagon PQRSTVWZ onto itself, we must provide such a transformation that should not change the size or coordinates of the vertices.
We can not use Translations, Reflections, and Dilations because they will change size and coordinates.
We can use only Rotations and that should be about the center C of the regular shape.
About center point C, and rotations of 90° does not change the orientation of the regular octagon, Both images would overlap each other.
Hence, option F is correct, i.e. "rotating 90° counterclockwise around point C."
For finding the answer of such a question, we only multiply the function by the given value. so as for f(x)=34x2−1, The function g(x), a vertical stretch of f(x) by a factor of 8 is g(x) =8(34x2−1)
