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leva [86]
2 years ago
11

A fair 6-sided die is rolled five times. What is the probability that the sequence of rolls is 3,4,1,2,6

Mathematics
1 answer:
Serhud [2]2 years ago
7 0

Answer:

Step-by-step explanation:

probability = number of favorable outcomes/total number of outcomes

To find compound probability multiply all the probabilities together.

p(3) = 1/6

p(4) = 1/6

p(1) = 1/6

p(2) = 1/6

p(6) = 1/6

Multiply all of them together.

1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7,776

or

(\frac{1}{6} )^5 = \frac{1}{7,776}

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Least to greatest<br><br>35%, 32/100, 1/3, .305, 3/10
Goryan [66]

Answer: 3/10 , 32/100 , 1/3 , 35% , 305

Step-by-step explanation:

1. Change 3/10 to a decimal

= 0.3

2. change 32/100 to a decimal

=0.32

3. Change 1/3 to a decimal

=0.3

4. Order and Done !

6 0
3 years ago
Read 2 more answers
A machine for baking hay produces cylindrical bales that are 6 feet in diameter and 5 1/3 feet in height. Which is closest to th
GaryK [48]
We know that
diameter=6 ft----------> r=6/2------> r=3 ft
h=5 1/3 ft------> (5*3+1)/3-----> 16/3 ft
[volume of a cylindrical bales]=pi*r²*h----> pi*3²*16/3---> 150.72 cm³

the answer is the option
<span>B 151 cm</span>³
5 0
2 years ago
Jacob wants to know the favorite sport among 6th grade students. Which types of survey below would give Jacob valid results?
Anastasy [175]
Answers are A, D
Because they will have people that don’t like sports and do like sports where as if you survey them in a sports shop there gonna like sports otherwise they wouldn’t be there
4 0
2 years ago
Read 2 more answers
If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
Natalka [10]

Answer:

<h2>(h - g)( - 2) = 18</h2>

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

7 0
3 years ago
Log*subscript*(3x − 2) 4096 = 3<br><br> I got x= negative 6 is this correct??
Brut [27]
Remember

log_a(b)=c translates to a^c=b
and
log_a(b^c)=clog_a(b)
so


4096=16^3
log_{3x-2}(4096)=3
log_{3x-2}(16^3)=3
3log_{3x-2}(16)=3
divide both sides by 3
log_{3x-2}(16)=1
translate
(3x-2)^1=16
3x-2=16
add 2 to both sides
3x=18
divide both sides by 3
x=6
8 0
3 years ago
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