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Vera_Pavlovna [14]

3 years ago

10

WILL GIVE BRAINLIEST ANSWER IS CORRECT PLEASE HELP

1 answer:

jeka57 [31]3 years ago

5 0

(a) There is a 1/6 probability that you will roll a 4 since there are six sides and 4 is one of them.

(b) There is a 100/1 probability that you either roll a 4 or not roll a four because that means you can roll any number.

(c) The probability of you not rolling a four is 5/6 since there are 5 numbers out of the 6 that is not a four.

Hope that helps!

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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?

erastovalidia [21]

Answer:

$x=5\ and\ y=-8$

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

$y=-x-3$

$5x+2y=9$

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the $y$ values in terms of $x$ from the equation $y=-x-3$ into the other equation to solve for $x$

Substituting $y=-x-3$ into $5x+2y=9$ .

We have:

$5x+2(-x-3)=9$

<em>Using distribution.</em>

$5x-2x-6=9$

<em>Combining like terms.</em>

$3x-6=9$

Adding 6 both sides.

$3x-6+6=9+6$

$3x=15$

Dividing both sides by 3.

$\frac{3x}{3}=\frac{15}{3}$

∴ $x=5$

<em>Plugging in $x=5$ into $y=-x-3$ .</em>

We have,

$y=-5-3$

∴ $y=-8$

The solution of the system can be given as (5,-8).

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While fishing on the weekend, Sunita and her sister caught 40 fish. Of those fish, 12 were too small to keep. These fish were re

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What is the height of the triangular prism below if the volume equals 1,638 cubic millimeters? 65 mm 63 mm 26 mm 28 mm.

sergejj [24]

Answer:

The height of the triangular prism is $26\ mm$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the triangular prism is equal to

$V=Bh$

where

B is the area of the triangular base

h is the height of the prism

<em>Find the area of the base B</em>

$B=\frac{1}{2}(7)(18)=63\ mm^{2}$

we have

$V=1,638\ mm^{3}$

$h=x\ mm$

substitute and solve for x

$1,638=(63)x$

$x=1,638/(63)=26\ mm$

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A cylinder popcorn tin had lid with a circumference of approximately 25.12 inches which expression can be used to describe the r

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Answer:

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Explanation:

The relationship b

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