emanuel played a game where he got a point if he drew s red marble out of a bag and flipped a coin that landed on heads. what is the probability that he will get a point on his first turn

Answers

Answer 1

Answer:

Answer:

30%

Step-by-step explanation:

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Evaluate the following.
3 x 6+16 4-6

Answers

(3 x 6) + 16 4 - 6
18 + 16 4 - 6
34 (4 - 6)
34 (2)
68 or 36 I think this is the answer, I’m not so sure because you didn’t set up the equation properly so I’m confused.

Work out the height of this cone

Answers

Answer:20 cm

Step-by-step explanation:

Volume of cone=540π

Radius=r=9

Volume of cone=1/3 x π x r^2 x h

540π=1/3 x π x 9^2 x h

540π=1/3 x π x 9 x 9 x h

540π=(1xπx9x9xh)/3

540π=(81πh)/3

540π=27πh

Divide both sides by 27π

540π/27π=(27πh)/27π

20=h

h=20

Height =20 cm

A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β (see the figure) so that the cone will have a volume of 60 in3.β = °

Answers

The angle β (see the figure) so that the cone will have a volume of 60 in3 is 82.05 degrees

Volume of a cone

The formula for calculating the volume of a cone is expressed as:

V = 1/3πr²h

where

r is the radius

h is the height

Given the following

volume = 60

radius = 2

h = r tanβ

Substitute

V = 1/3πr²(r tanβ)

Substitute

60 = 1/3(3.14)(2)³tanβ

180 = 25.12tanβ

tanβ = 180/25.12

β = 82.05 degrees

Hence the angle β (see the figure) so that the cone will have a volume of 60 in3 is 82.05 degrees

Learn more on volume of cone here: brainly.com/question/13677400

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I don't know where the angle β is, so I will make the assumption that tanβ = h/r
$V = (1)/(3) \pi r^(2) h$

V volume = 60
r radius = 2
h = r tanβ

$tan \beta = (3V )/( \pi r^(3) ) = ( 180)/(25,1) = 7,17 \n \n \beta = 82$

What does the Rational Root Theorem and Descartes' Rule of Signs indicate about the zeros of a polynomial function?

Answers

Answer:

"Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeroes in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients."

Explanation:

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Final answer:

The Rational Root Theorem provides possible rational roots of a polynomial while Descartes' Rule of Signs indicates the number of positive and negative roots of a polynomial. They both serve as crucial tools in understanding and solving polynomial equations.

Explanation:

The Rational Root Theorem and Descartes' Rule of Signs are both mathematical tools that can provide valuable information about the zeros (or roots) of a polynomial. The Rational Root Theorem can help us determine the possible rational roots of a polynomial equation. It states that if a polynomial has a rational root p/q (where p and q are relatively prime), then p is a factor of the trailing constant and q is a factor of the leading coefficient.

On the other hand, Descartes' Rule of Signs gives us an indication of the number of positive and negative real roots in a polynomial. It does this by considering the number of sign changes in the coefficients of the terms of the polynomial when arranged in descending power.

For example, in the polynomial $x^3 - 3x^2$ + 2x - 6, by applying Descartes' Rule of Signs, we can infer there are two or zero positive roots (since there are two sign changes) and one negative root (since there are no sign changes when the terms are arranged in ascending power).