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igor_vitrenko [27]
3 years ago
15

The table below shows the relative frequencies of the color of cars bought last month by males and females. Which percentage rep

resents the car bought most often?
Options:
20%
31%
43% is wrong
57%

(I already did my other questions, this is the only one I needed help with)

Mathematics
1 answer:
frozen [14]3 years ago
5 0
The first thing we must do for this case is to observe the highest relative frequency of the table in the total column.
 For the white car we have:
 Male = 0.11
 Female = 0.20
 Total = 0.31
 The percentage is given by:
 (0.31) * (100) = 31%
 Answer:
 
The percentage that represents the car bought most often is:
 
31%
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Select the two values of x that are roots of this equation 2x^2+5x-3=0
alex41 [277]

Answer:

A and D are the answer.

Step-by-step explanation:

We can factor this by grouping

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2 {x}^{2}   + 6x - x - 3

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The roots are

(x + 3) = 0

and

2x - 1 = 0

Let solve for zero in each roots.

x =  - 3

2x = 1

x =  \frac{1}{2}

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2 years ago
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8 0
3 years ago
Please help.. with 6 & 15 ​
Black_prince [1.1K]

Answer:

6. C: {x^2 +(y-1)^2 =2; x+y = 3}

15. C: The line does not intersect the circle.

Step-by-step explanation:

The formula for the distance (d) from a point (x, y) to a line ax+by=c is ...

d = |ax+by-c|/√(a^2+b^2)

The formula for a circle centered at (h, k) with radius r is ...

(x -h)^2 +(y -k)^2 = r^2

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6. Comparing the circle equation to the generic equation, we find (h, k) = (0, 1) and r = √2. Then we want to find the line that is distance √2 from the center of the circle. Our line equation is x+y=c for some value of c that we want to find.

d = √2 = |0 +1 -c|/√(1^2+1^2)

2 = |1-c|

±2 = 1-c

c = 1±2 = -1 or 3

The line that is tangent to the circle is the one of choice C: x+y = 3

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The attached graph shows the lines for all 4 answer choices. The point of tangency is (1, 2), so x+y=1+2=3.

___

15. The circle is centered at (4, 1) and has radius 3. The distance from the circle center to the line is ...

d = |2(4) -(1)|/√(2^2+(-1)^2) = 7/√5 ≈ 3.13

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Alternate solution

You can substitute for y using the equation of the line. Then the circle equation becomes ...

(x -4)^2 + (2x -1)^2 = 9

x^2 -8x +16 +4x^2 -4x +1 = 9

5x^2 -12x +8 = 0

The discriminant of this quadratic is ...

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Since this value is negative, there can be no real solutions, meaning the line does not intersect the circle.

3 0
3 years ago
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Ronch [10]

Let x represents the numbers of hours that Billie and Toni are driving after first day and ‘Y’ represent the distance they have passed distance  

Y=420+65

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7 0
3 years ago
I need some help please
Galina-37 [17]

Answer:

  1. Hexagon
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Step-by-step explanation:

The first shape has 6 sides. Hence, it is called a hexagon.

The second shape has 7 sides. Hence, it is called a heptagon.

8 0
1 year ago
Read 2 more answers
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