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jolli1 [7]
2 years ago
12

Help???????????????????

Mathematics
2 answers:
solniwko [45]2 years ago
5 0

Answer:

7/6

Step-by-step explanation:

42/36=6.7

Reil [10]2 years ago
4 0

Answer:

42:36

=42/36

=(7*6)/(6*6)

=7/6

Step-by-step explanation:

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A frequency table of grades has five classes (A, B, C, D,F) with frequencies of 4, 10, 17, 6, and respectively. Using percentage
fiasKO [112]

We have the frequencies for each of the grades. We can estimate the number of students graded by adding all those frequencies. Let's call N the total number of grades:

\begin{gathered} N=4+10+17+6+2 \\ N=39 \end{gathered}

We have then a total number of grades of 39.

The corresponding relative frequency for a grade is the ratio of the frequency to the total number of "samples", 39 in this case.

Then, for grade A, the relative frequency (RF) will be:

RF_A=\frac{4}{39}\approx0.10256\approx10.26\text{ \%}

This will be the fraction of the total grades that are A. Represented as a percentage will be 10.26%, rounded to two decimal places.

Now, to complete the table we do the same for the other frequencies:

For grade B:

RF_B=\frac{10}{39}\approx0.2564\approx25.64\text{ \%}

For grade C:

RF_C=\frac{17}{39}\approx0.4359\approx43.59\text{ \%}

For grade D:

RF_D=\frac{6}{39}\approx0.1538\approx15.38\text{ \%}

For grade F:

RF_D=\frac{2}{39}\approx0.0513\approx5.13\text{ \%}

4 0
1 year ago
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3 years ago
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Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed
garik1379 [7]
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards. 
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards. 
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x. 
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
 => Area, A 
= 2x (y1 - y2) 
= 2x (18 - x^2 - 2x^2 + 9) 
= 2x (27 - 3x^2) 
= 54x - 6x^3 
For area to be maximum, dA/dx = 0 and d²A/dx² < 0 
=> 54 - 18x^2 = 0 
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants) 

d²A/dx² = - 36x < 0 for x = √3 
=> maximum area 
= 54(√3) - 6(√3)^3 
= 54√3 - 18√3 
= 36√3. 
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3 years ago
Which ordered pair is a solution of the inequality?<br> y &gt; 4x - 5
Tomtit [17]

Answer:

(1,1)

Step-by-step explanation:

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2 years ago
A line with a slope of 3 passes through the point (0, -10). What is its equation in
andrey2020 [161]

(\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}

8 0
2 years ago
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