A six sided die, with sides numbered 1,2,3,4,5, and 6, is tossed. What is the probability of tossing a number less than 3

Answers

Answer 1

Answer: ok so probablit is
(desired outcomes)/(total possible outcomes)
ok so total possible is 6 since 6 numbers
less than 3 means all numbers less than 3 not including 3
there are 2 (1 and 2 are less than 3)
2=desired outcomes
6=total possible
2/6=1/3

probability is 1/3

Answer 2

Answer: 2/6 reduced to simplest terms.... being 1/3 so your answer would be 1/3 hope i helped(1 and 2 are the only numbers less then 3 and since there are 6 sides the possibility is 2/6 but it probably wants it reduced, so the answer is 1/3... whenever you can reduce to simplest terms ALWAYS reduce...)

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Please answer all three questions for full points.

Answers

Answer:

Step-by-step explanation:

1. a) vertical stretch by a factor of 5 and

e) reflection over x-axis

2. c) reflection over the y-axis

e) horizontal shift to the right 4 units

3. c) horizontal shift

Given the volume of a cube is 8 cubic meters, findthe distance from any vertex to the center point
inside the cube.
(A) 1 m
(B) √2 m
(C) 2√2 m
(D) 2√3 m
(E) √3 m

Answers

$V=8m^3\n\nV=a^3\n\na^3=8m^3\to a=\sqrt[3]{8m^3}=2m\n\ndiagonal\ of\ a\ cube:D=a\sqrt3\n\nD=2\sqrt3m\n\nDistance\ from\ any\ vertex\ to\ the\ center\ point\ inside\ the\ cube\nis\ a\ half\ of\ a\ diagonal:\n2\sqrt3:2=\sqrt3\ (m)\n\nAnswer:E$

X^{2} +16xy+63y ^{2}

Answers

$x^(2) +16xy+63y ^(2) \n = x^(2) +16xy+64y ^(2)-y ^(2) \n = (x+8y)^(2)-y ^(2) \n =(x+8y+y)(x+8y-y) \n =(x+9y)(x+7y)$

What values of x will make x^2 = 16 true ?

Answers

Answer:

x = 4, x = -4

Step-by-step explanation:

In order to solve this equation, we need to square-root bothsides.

$\sf{x^2=16}$

$√(x^2)=√(16)$

Simplify:

$x=4,x=-4$

Answer:

x = -4 or 4

Step-by-step explanation:

⇒ $x^2=16$

⇒ $x = √(16)$

∴ $x =$ ± 4

Therefore, x can be either 4 or -4 such that $x^2=16$ .

Thank You :)

What would a box and whisker plot look like for this? Find the five-number summary and draw a box-and-whisker plot for the data set.
84, 89, 93, 97, 91, 62, 58, 104, 91, 73, 101, 71, 98
(I have the 5 number summary)
min-58
max-104
Median-91
1st Q-72
2nd Q-97.5

Answers

58, 62, 71, 73, 84, 89, 91, 91, 93, 97, 98, 101,104

Five number summary:
1) minimum = 58
2) 1st quartile = 72
3) median = 91
4) 3rd quartile = 98
5) maximum = 104
    __________
  --------|    | |------------
58 72 91 98 104

The volume of a cone is 258.9 cubic centimeters. a cylinder has the same base and height as the cone. what is the volume in cubic centimeters of the cylinder

Answers

Volume of a cylinder = A(base)*height

Volume of a cone = 1/3*A(base)*height

Because the base and height of the cylinder and cone are the same, we can write

Volume of the cone = 1/3*A(base)*height =1/3*Volume of the cylinder

Volume of the cone = 1/3*Volume of the cylinder, so

Volume of the cylinder=3*Volume of the cone =3*258.9=776.6 cm³

Volume of the cylinder= 776.6 cm³

Answer:

776.7 cm^3

Step-by-step explanation:

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