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Aleksandr-060686 [28]
3 years ago
13

Another one. Find the gradients of the lines A and B.

Mathematics
1 answer:
GREYUIT [131]3 years ago
4 0

Answer:

Step-by-step explanation:

Gradient of a line is the same as slope of the line. Slope is defined as the ratio of the rate of change in the y(vertical) axis to the rate of change in the x(horizontal) axis.

Slope = (y2 - y1)/(x2 - x1)

Slope is denoted by m. Therefore,

For line A,

y1 = - 1

y2 = 3

x1 = 2

x2 = 3

Slope, m = (3 - - 1)/((3 - 2) = 4/1 = 4

For line B,

y1 = 5

y2 = 1

x1 = - 2

x2 = 0

Slope, m = (1 - 5)/((0 - - 2) = - 4/2 = - 2

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Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below.
agasfer [191]

Answer:

Class Boundary = 1 between the sixth and seventh classes.

Step-by-step explanation:

              Lengths (mm)                   Frequency

1.                  140 - 143                                  1

2.                 144 - 147                                 16

3.                 148 - 151                                 71

4.                 152 - 155                              108

5.                 156 - 159                               83

6.                 160 - 163                                18

7.                  164 - 167                                 3

The class boundary between two classes is the numerical value between the starting value of the higher class, which is 164 for the 7th class in this case, and the ending value of the class of the lower class, which is 163 for the 6th class in this case.

Therefore the class boundary between the sixth and seventh classes

= 164 - 163  = 1

Therefore Class Boundary = 1.

It can be seen that class boundary for the frequency distribution is 1.

If we take the difference between the lower limits of one class and the lower limit of the next class then we will get the class width value.

Therefore, Class width,

w = lower limit of second class - lower limit of first class

   = 144 - 140

   = 4

7 0
3 years ago
Simplify: 3[(5-2)3 + 4]
avanturin [10]

Answer:

39

Step-by-step explanation:

1. Subtract the numbers ... 3(3×3+4)

2. Multiply the numbers ... 3(9+4)

3. Add the numbers ... 3×13

4. Multiply the numbers ... 39

6 0
3 years ago
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olga nikolaevna [1]

Answer:

-3

Step-by-step explanation:

The equation is in the slope intercept form

y= mx +b  where m is the slope and b is the y intercept

y = -3x +0

The slope is -3 and the y intercept is 0

4 0
3 years ago
4x(x+2)(y+3-x)<br> (4-xy)(5x-3y)-(x+y)(x-3y)
faltersainse [42]

Answer:

the soulution is (5,10)

Step-by-step explanation:

8 0
2 years ago
Easy math please help
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Answer: 5

Step-by-step explanation:

5 multiples by itself 4 times is 625.

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4 0
3 years ago
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