A standard number cube is tossed. Find P(even or greater than 4).a. 5/6
b. 1/6
c. 2/3
d. 1/2

Answers

Answer 1

Answer: 2/3 because again 3 evens in #1-6 with 5 being bigger than 4 and not even so 3+1=4; 4/6. simplified: 2/3

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Polygon ABCDEFGH will be dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A'B'C'D'EFG'H'. What will the length of A'H' be?

Answers

Even though you didn't attach any options I bet you have the same that I write in your task. I am pretty sure that length of A'H' should be 6.8 units. Do hope it will help you.

Solution:

Polygon ABCDEFGH is dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A'B'C'D'EFG'H'.

As, when a polygon is dilated , the two pre image and image are similar to each other.

Also, similar shapes have same ratio of their corresponding sides length.

→Pre image (Polygon ABCDEFGH) ~Image ( A'B'C'D'EFG'H').

Dilation factor >1, equal to 3.4.

$(AB)/(A'B')=(BC)/(B'C')=(CD)/(C'D')=(DE)/(D'E')=(EF)/(E'F')=(FG)/(F'G')=(GH)/(G'H')=(AH)/(A'H')=(1)/(3.4)\n\n A'H'=3.4* AH$

Length of segment A'H'=3.4 AH

Solve i=Prt for t, if I=105, P=700, and r=0.05

Answers

sub
105=700*0.05*t
105=35t
divide both sides by 35
3=t

t=3

How many different ways can 12 people line up to go to the same bathroom

Answers

There are 12! ways to line 12 people up. That is 12 factorial (the name for the exclamation point
12! means 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Using a scientific calculator to compute 12!, we get 479,001,600 ways to line up 12 people. I know it sounds amazing but here is a chart.

People Ways

3 6
4 24 (Notice that if you multiply 6 x 4 you get 24)
5 120 (Notice that if you muliply 24 x 5 you get 120 etc.)
6 720
7 5040
8 40,320
9 362,880
10 3,628,880
11 39,916,800
12 479,001,600

We're no strangers to loveYou know the rules and so do I
A full commitment's what I'm thinking of
You wouldn't get this from any other guy
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
And if you ask me how I'm feeling
Don't tell me you're too blind to see
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give, never gonna give
(Give you up)
(Ooh) Never gonna give, never gonna give
(Give you up)
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry

Answers

Answer:

Rick Astley "Never Gonna Give You Up"

Step-by-step explanation:

At a benefit concert, fourteen bands have volunteered to perform but there is only enough time for six of the bands to play. How many lineups are possible?

Answers

There are 2,162,160 possible combination that could be made if there are 14 bands and only 6 slots available. This is computed using factorial. By using factorial we first need to identify the number of band and the number of slots available. It could be express as 14! - 8! or 14 x 13 x 12 x 11 x 10 x 9, which is equal to 2,162,160 combination.

Charlie solved an equation, as shown below:Step 1: 5x = 30
Step 2: x = 30 – 5
Step 3: x = 25

Part A: Is Charlie's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Part B: How many solutions will this equation have? (4 points)
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