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3 years ago

Which dot plot has more than one mode?

Mathematics

2 answers:

fgiga [73]3 years ago

7 0

Answer:

The dot plot representing the calico crayfish has more than one mode.

Step-by-step explanation:

We know that mode of the data is the value corresponding to the highest frequencies.

or we may say the mode of a data set is the number that occurs most frequently.

Clearly from the dot plot we could see that the data representing the calico crayfish have two quantities with four dots ( one is when number of calico crayfish are 5 and the other when number of calico crayfish are 8)

Also by making a frequency table we may check it as:

<u>Number of calico crayfish </u> <u>frequency</u>

1 1

2 0

3 1

4 3

5 4

6 1

7 2

8 4

9 0

10 2

pochemuha3 years ago

6 0

Answer: the answer is : calico crayfish

Step-by-step explanation:

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3 years ago

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3 years ago

Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).

mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

$(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2$

$\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y$

$\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y$

$\implies 4x +8x-10y+2y = 16 + 1 -25-4$

$\implies 12x - 8y = 17 - 29$

$\implies 12 x - 8 y = - 12$ ---------(1)

Similarly, QO = RO

$\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2$

$\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y$

$\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y$

$\implies - 8x -4x-2y-6y=4+9-16-1$

$\implies -12 x - 8 y = 13 - 17$

$\implies 12 x + 8 y = 4$ ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

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7 0

3 years ago

B) Here are the first four terms of another sequence.

Masteriza [31]

Answer:

Tn = 4n+3

Step-by-step explanation:

It is an Arithmetic Sequence

a=7

d=11-7 =4

Tn= a+(n-1)d

= 7+(n-1)4

= 7+4n-4

= 4n+3

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3 years ago

Find the formula for the nth term of the arithmetic sequence -39, 61, 161, 261, ...

maksim [4K]

<h3>Given that it is arithmetic</h3>

$d = a_{2} - a_{1} = 61 - ( - 39) = 100$

$a_{n} = a_{1} + (n - 1)d \\ a_{n} = - 39+ 100 (n - 1) \\ a_{n} = - 39 + 100n - 100 \\ a_{n} = - 139 + 100n$

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2 years ago