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2 years ago

You roll a die 60 times how many times do you expect to roll a factor of 12

Mathematics

1 answer:

Paladinen [302]2 years ago

8 0

Answer:

Just for fun, the probability of rolling a die 60 times and getting no ones is

(600)(5/6)60=0.0018% .

Step-by-step explanation:

This 10 ones is the value with the highest probability of occurring. It has a probability of (6010)(1/6)10∗(5/6)50≈13.7% .

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The solution of the equation x-9 = 1 is

Free_Kalibri [48]

X=1+9
X=10
Here is you answer

4 0

3 years ago

Read 2 more answers

Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

4 years ago

Read 2 more answers

Write an equation of the line below

Ratling [72]

Answer:

y = 3/5 + 4

Step-by-step explanation:

Given Coordiantes:

(0,4) - Y-intercept

(5,7) - Coordinates

To make an equation, first find the slope.

$m=\frac{rise}{run} =\frac{y}{x}$

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

$m=\frac{7-4}{5-0}$

$m=\frac{3}{5}$

In decimals:

$m = 0.6$

Now convert to point slope.

$y-y_{1} =m(x-x_{1} )$

$y-4=\frac{3}{5} (x-0)$

In decimals:

$y-4=0.6(x-0)$

Now convert to slope-intercept form.

Find the Equation of the Line:

$y=mx+b$

by solving for y using the Point Slope Equation.

y = 3/5 + 4

8 0

3 years ago

Dina took 12 hours to read a 600 page book What was her page per minute rate?

jok3333 [9.3K]

50 divide to find the answer

4 0

3 years ago

a sports store sells three different packs of tennis balls. which pack is the best to buy? 4 sleeves for 11.49, 6 sleeves for 16

PIT_PIT [208]

Answer:

9 sleeves for 22.99

Step-by-step explanation

The first pack has a unit rate of $11.49/ 4 balls

=$2.8725

The second pack has a unit rate of $16.79/6balls

=$2.798 per ball

the third pack has a unit rate of $22.99/9balls

=2.554

So, I would definitely go for the third pack since it has the least cost.

6 0

3 years ago