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cluponka [151]
3 years ago
11

Brian rolls a fair dice 12 times. How many times would Brian expect to roll a number greater than 4?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Answer:

Numbers greater than 4 are 5 and 6

So we have 2 numbers out of 6 numbers so the probability is equal to 2/6 = 1/3

And 1/3 of 12 is equal to 4

So Brian expect to roll a number greater than 4,

Four times.

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SOMEONE PLEASE ANSWER ASAP!! 55 POINTS!!
nadezda [96]

Answer:

EG = 16 and FH =22

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other

so 2a  = 3b+2

and 2a+3 = 6b-1

We know have a system of equations to solve

2a  = 3b+2

 2a+3 = 6b-1

Subtract 3 from each side

2a+3-3 = 6b-1-3

2a = 6b -4

Now we can set the 2 equations equal  ( 2a  = 3b+2  and 2a = 6b -4)

3b+2 = 6b-4

Subtract 3b from each side

3b-3b+2 = 6b-3b-4

2 = 3b-4

Add 4 to each side

2+4 = 3b-4+4

6 = 3b

Divide by 3

6/3 = 3b/3

2 =b

We want to find a

2a  = 3b+2

Substitute in b=2

2a = 3(2) + 2

2a = 6+2

2a =8

Divide by 2

2a/2 =8/2

a = 4

Now that we know a and b

EG = 2a + 3b+2

    = 2(4) + 3(2)+2

   = 8+6+2

   = 16

FH = 2a+3 + 6b-1

    = 2(4) +3 +6(2)-1

    = 8+3+12-1

   = 23-1

  = 22

4 0
3 years ago
8
Nata [24]

Answer: 15, -8

Step-by-step explanation:

u_2=7\\u_2=u_1+r\\u_3=u_1+2r\\u_4=u_1+3r\\\\u_1+u_2+u_3+u_4=4u_1+6r=12\\u_1+r=7\\\\

\left \{ \begin {array} {ccc|c|c}u_1+r&=&7&-4&-6\\4u_1+6r&=&12&1&1\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}2r&=&-16\\-2u_1&=&-30\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}r&=&-8\\u_1&=&15\\\end {array} \right.\\\\\\Proof:\\u_1=15\\u_2=7\\u_3=-1\\u_4=-9\\sum=12\\

6 0
2 years ago
In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the me
Alja [10]

Answer:

Step-by-step explanation:

if we have a right triangle,

one angle=90

180-90=90

let x be one angle, and y another angle

the other is 2x+30

x+2x+30=90

3x=60

x=20

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Answer:

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Step-by-step explanation:

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The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show
sattari [20]

Answer:

D. Q_3=47

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

Q_3=\frac{3}{4}*(n+1)^{\text{th term}}, where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

Q_3=\frac{3}{4}*(11+1)^{\text{th term}}

Q_3=\frac{3}{4}*(12)^{\text{th term}}

Q_3=3*3^{\text{th term}}

Q_3=9^{\text{th term}}

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

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