A lawnmower designer wants to build a lawnmower that measures 3 feet in height, 2 feet in width, and 5 feet in length. She needs to construct a three-dimensional scale model of the lawnmower first. Which measurements are appropriate for the scale model?

Answers

Answer 1
Answer:

Answer: C. 6 inches high, 4 inches wide, and 10 inches long

Step-by-step explanation:

A scale model will have to use a scale factor that ensures that the actual measurements can be accurately converted to the scale model measurements in an equivalent manner.

This means that the real measurements need to be uniform when converted by the scale factor to the scale model. In other words, in this scenario for instance, when the scale measurements are divided by the real measurements, they should give the same scale factor.

Option C is correct because all the measurements give the same scale factor when divided as opposed to the rest.

Height = Scale/ Real = 6/3 = 2

Width = 4/2 = 2

Length = 10/5 = 2

They all use the scale factor of 1 feet: 2 inches so option C is correct.


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The number of rows in a movie theater can be represented by the function f(x) = 12x.The number of seats in each row in the theater can be represented by the function g(x) = x + 9.

Which function represents the total number of seats, h(x) = f(x)g(x)?

h(x) = 12x + 108
h(x) = 12x2 + 108x
h(x) = 12x – 108
h(x) = 12x2 + 108

Answers

Answer:

Its B

Step-by-step explanation:

B on edge 2020

Answer:

Its B

Step-by-step explanation:

On Edge 2020

49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. Identify which type of sampling is used and why?A) Convenience
B) Cluster
C) Random
D) Systematic
E) Stratified

Answers

Answer:

Stratified sampling

Step-by-step explanation:

In the question, students are selected from subgroups of Sophomore, Junior, and Senior classes.

We are told that 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.

This means that the sample numbers of 49, 34 and 48 students were selected in proportion to the subgroup sizes of 496, 348, and 481 students respectively.

Thus, due to the fact that subgroups were selected & that sample number of students were also selected in proportion to their respective subgroup sizes, this is therefore a stratified sampling.

Final answer:

The type of sampling used in this scenario is stratified sampling. The type of sampling in this case is E) Stratified sampling.

Explanation:

The type of sampling used in this scenario is stratified sampling. Stratified sampling is a method where the population is divided into different groups or strata, and then a sample is randomly selected from each stratum. In this case, the sophomore, junior, and senior classes are the different strata, and the sample sizes are proportional to the size of each stratum.

To further explain, let's consider the sophomore class with 496 students. If we are selecting a sample size of 49 from this class, it means that approximately 10% of the students (49/496 = 0.098) will be selected. Similarly, for the junior class with 348 students, approximately 10% (34/348 = 0.098) of the students will be selected. The same applies to the senior class with 481 students and a sample size of 48 students.

In stratified sampling, the goal is to ensure that the sample represents the characteristics of each stratum in proportion to their size in the population. By sampling from each of the classes, we can obtain a representation of the entire student population.

Learn more about Stratified Sampling here:

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Subtract and write the difference in simplest form 12 5/8 - 7 1/3

Answers

Answer:

5 7/24

Step-by-step explanation:

Given the following mathematical expression;

12 5/8 - 7 1/3

First of all, we would subtract the whole numbers;

12 5/8 - 7 1/3 = (12 - 7) 5/8 - 1/3

12 5/8 - 7 1/3 = 5 [5/8 - 1/3]

Next, we subtract the fractions from each other;

5/8 - 1/3

Lowest common multiple (lcm) = 24

5/8 - 1/3 = (15 - 8)/24

5/8 - 1/3 = 7/24

Combining the two parts, we have;

12 5/8 - 7 1/3 = 5 7/24

69 +69 -69 / 69 * 69

Answers

Answer:

69

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

A giant fish tank at the zoo contains z Halibut. The tank contains 4times as many Bluefin Tuna as Halibut. Write an equation that
represents the total number of Bluefin Tuna, y in the tank.

Answers

Answer:

Y=4Z

Step-by-step explanation:

Parallel lines have the same....A) Equation
B) y - intercept
C) X - intercept
D) slope

Answers

The answer is D. They have the same slope.
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