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dsp73
2 years ago
14

In Mrs. Marsh's algebra class, 30 of the 36 students took the Chapter 4 test, and their mean score was $72 \%$. The next day the

other six students took the test and their mean score was $78 \%$. What is the new class mean
Mathematics
1 answer:
hammer [34]2 years ago
7 0

The new class mean of the given information in percent  = 73%

<h3>What is algebra?</h3>

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

<h3>According to the information :</h3>

A total of 2160 points would be earned if 30 students obtained an average grade of 72.

= 30 x 72

= 2160

If six students had an average of 78, their total points would be 6 x 78, or 468.

= 6 x 78

= 468

points are the result of adding the points from both groups.

2160 + 468

= 2628

An average of 73 is obtained by dividing 2628 by 36.

It represents a 73% proportion.

To know more about Algebra expression visit:

brainly.com/question/14083225

#SPJ4

I understand that the question you are looking for is:

In Mrs. Marsh's algebra class, 30 of the 36 students took the Chapter 4 test, and their mean score was $72 \%$. The next day the other six students took the test and their mean score was $78 \%$. What is the new class mean? Express your answer as a percent.

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The direct answer to your question is: "No".
because in that equation, 'x' is not 120 or130.

Let's find out what 'x' actually is:

<u>3/5 x  =  52</u>

Multiply each side by  5 :      3x  =  260

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3 years ago
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
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<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

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\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

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3 years ago
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Step-by-step explanation:

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7 0
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