<span>Y is directly proportional to x^2. It could be represented by the expression:
y </span>α x^2
We can make it into an equality by inserting the proportionality constant, k.
y = kx^2
k would be constant for any value of y with a corresponding value of x. We solve the problem by this concept as follows:
y1/(x1)^2 = y2/(x2)^2
10/(x1)^2 = y2/(x1/2)^2
10/4 = y2
Therefore, when the value of x is halved, y is equal to 10/4.
This is the commutative property because you have 3*x*2*y and you turn the x and the 2 around. The commutative property states that a * b = b * a and therefore x*2 = 2*x.
Answer:
the dilated coordinates are (12, 9), (6, 9), (12, -6), (6, -6)
Step-by-step explanation:
The dilation factor multiplies each coordinate value when the center is the origin.
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(8, 6) ⇒ 1.5(8, 6) = (12, 9)
(4, 6) ⇒ 1.5(4, 6) = (6, 9)
(8, -4) ⇒ 1.5(8, -4) = (12, -6)
(4, -4) ⇒ 1.5(4, -4) = (6, -6)
Answer:
216000 m^3
Step-by-step explanation:
Volume of water
= length of tank x width of tank x depth of water
= 90(60)(40) m^3
= 216000 m^3
Answer:
A. A stratified random sample is a combination of simple random samples selected from each of several strata.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Convenience sampling.
3. Systematic sampling.
4. Cluster sampling.
5. Stratified sampling.
Stratified random sampling can be defined as a method of sampling that involves dividing a population into smaller groups known as strata.
In stratified random sampling, the strata are formed based on member's shared characteristics (e.g female or male, occupation, education) or attribute (e.g black or white).
<em>Hence, the statement about stratified random sampling which is true is that, a stratified random sample is a combination of simple random samples selected from each of several strata. </em>
