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3 years ago

A spinner has the numbers 1-12 what is the probability of spinning a number less than or equal to 5

Mathematics

1 answer:

valkas [14]3 years ago

5 0

Answer:

5/12

Step-by-step explanation:

Assuming the each number is equally likely

1,2,3,4,5,6,7,8,9,10,11,12

There are 12 numbers on the spinner

Number less than or equal to 5: 1,2,3,4,5

There are 5 choices

P ( # < = 5) = Number less than or equal to 5/ total

=5/12

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

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3 years ago

Identify the factors of 9x2 + 30x + 25.

svlad2 [7]

Selection B is appropriate.

_____
The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).

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PLEASE HELP!!! i will give you brainly!

jenyasd209 [6]

Answer:

-96

Step-by-step explanation:

15+11=26+7=33+(-129)=-96

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3 years ago

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