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11Alexandr11 [23.1K]
3 years ago
8

A junior college is going to choose a Homecoming Queen, and the candidates are the Freshman Queen and the Sophomore Queen. If th

ere are 600 freshman and 400 sophomore voters, which would be a FAIR way of conducting the vote? [Fair, in this case, means that the Freshman Queen does not have an automatic advantage.]
A) Count the votes, then deduct 100 from the freshman total.
B) Count the votes and the Queen with the highest total becomes Homecoming Queen.
C) Count the votes, counting each sophomore ballot as 1.5 votes and each freshman ballot as 1 vote.
D) Count the votes, counting each freshman ballot as 1.5 votes and each sophomore ballot as 1 vote.
Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
Count the votes, counting each sophomore ballot as 1.5 votes and each freshmen ballot as 1 vote.
ur doing this because there is 200 more freshmen then sophomores...and if u count each sophomore vote as 1.5, it would make up for the 200 more freshmen
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A cube has a side length of x feet. Which expression represents the surface area of the cube?
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The answer is D)6x2 square units.

A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²

If side length is x, that means that a = x units.
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3 years ago
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We don't like to find broken crackers when we open the package. How can makers reduce breaking? One idea is to microwave the cra
mafiozo [28]

Answer:

<u>1. Yes</u>

<u>2. 83%</u>

<u>Step-by-step explanation:</u>

Does microwaving significantly improve indicators of future breaking?

Yes, this is because the normal requirements based on the 95% confidence implies having a deviation of only 5%. That is, it should fall within 5% of 65 newly baked crackers =5% x 65= 3.25. Thus, since only 3 of the 65 microwaved crackers showed visible cracking we could be confident.

How large is the improvement? What do you conclude about the idea of microwaving crackers?

<em>Approximately there was an 83.08% (57/65 *100 - 3/65 *100) improvement.</em>

The conclusion is that there is a statistically significant relationship between microwaving and reducing cracking.

8 0
3 years ago
What is the linear function equation represented by the graph?<br><br><br> f(x)=______________
Katen [24]

The linear function equation represented by the graph is \boxed{y =  - \frac{1}{2}x + 1}.

Further explanation:

The linear equation with slope m and intercept c is given as follows.

\boxed{y = mx + c}

The formula for slope of line with points \left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right) can be expressed as,

\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}

Given:

Explanation:

From the graph it has been observed that the line passes through the points \left( {0,1} \right) and \left( {2,0} \right).

The line intersect y-axis at \left( {0,1} \right).

Therefore, the y-intercept is 1.

The line the line passes through the points \left( {0,1} \right) and \left( {2,0} \right).

The slope can be obtained as follows,

\begin{aligned}m&=\frac{{0 - 1}}{{2 - 0}}\\&= \frac{{ - 1}}{2}\\\end{aligned}

The slope of the line is - \dfrac{1}{2}.

Substitute - \dfrac{1}{2} for m and 1 for c in equation y = mx + c to obtain the equation of the line.

y = - \dfrac{1}{2}x + 1

The linear function equation represented by the graph is \boxed{y =  - \frac{1}{2}x + 1}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

6 0
3 years ago
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