By apply the distributive property of multiplication, the value of k which makes the statement true is 1.
<h3>What is the
distribution property?</h3>
Mathematically, the distributive property of multiplication is given by tis expression:
x(y + z) = xy + xz.
Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:
k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸
Dividing both sides by the common factor, we have:
k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)
k = 1.
In conclusion, the value of k which makes the statement true is 1.
Read more on distributive property here; brainly.com/question/2807928
#SPJ1
<u>Complete Question:</u>
What value of k makes the statement true?
y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸
Answer: 96 ft²
Step-by-step explanation:
<u>This figure can be divided into two rectangles:</u>
- The first rectangle has dimensions 6 ft by 14 ft.
- The second rectangle had dimensions 4 ft by 3 ft.
<u />
<u>Find the area of both rectangles:</u>
- The first rectangle: 6 × 14 = 84 ft²
- The second rectangle: 4 × 3 = 12 ft²
<u />
<u>Add them together to find the total area of the figure:</u>
84 + 12 = 96 ft²
The answer is 2/3
10 / 5 = 2
15 / 5 = 3
= 2/3
In systematic sampling, individuals are selected at regular intervals from the sampling frame.
<h3>How to explain the sampling?</h3>
Stratified sampling- In this method, the population is first divided into subgroups (or strata) who all share a similar characteristic
<u>Clustered sampling.</u>- a clustered sample, subgroups of the population are used as the sampling unit, rather than individuals. The population is divided into subgroups, known as clusters, which are randomly selected to be included in the study
<u>Simple random sampling. </u>-In this case each individual is chosen entirely by chance and each member of the population has an equal chance, or probability, of being selected.
Quota sampling--This method of sampling is often used by market researchers. Interviewers are given a quota of subjects of a specified type to attempt to recruit.
Learn more about sampling on:
brainly.com/question/17831271
#SPJ1