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Katarina [22]
3 years ago
9

a number cube is rolled 160 times. The number 2 comes up 39 times. What is the experimental probability of rolling a 2? What is

the theoretical probability of rolling a 2?
Mathematics
1 answer:
adell [148]3 years ago
5 0
Theoretical would be approximately 26.67 
Experimental is 0.24 (24%)
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4x-7x=13 in a fraction
Naddika [18.5K]
4x-7x= 13
⇒ -3x= 13
⇒ x= 13/(-3)
⇒ x= -13/3

The final answer is x= -13/3~
4 0
3 years ago
Find the third side in simplest radical form:<br> 25
Gre4nikov [31]

Answer:

<h3>\boxed{  \bold{24}}</h3>

Step-by-step explanation:

\mathsf{given}

\mathsf{hypotenuse(h) = 25}

\sf{perpendicular (p) = 7}

\sf{base(b) = }?

Now, Using Pythagoras theorem

\sf{{h}^{2}  =  {p}^{2}  +  {b}^{2} }

plug the values

⇒\sf{  {25}^{2}  =  {7}^{2}  +  {b}^{2} }

Evaluate the power

⇒\sf{625 = 49 +  {b}^{2} }

Swap the sides of the equation

⇒\sf{49 +  {b}^{2}  = 625}

Move constant to right hand side and change it's sign

⇒\sf{ {b}^{2}  = 625 - 49}

Calculate the difference

⇒\sf{ {b}^{2}  = 576}

Squaring on both sides

⇒\sf{b = 24}

Hope I helped!

Best regards!

8 0
3 years ago
Express as a trinomial (3x+8) (x+10)
docker41 [41]

Answer:

3x^{2} +38x+80

Step-by-step explanation:

Hello!

A trinomial is a expression consisting of three different terms

To turn this into a trinomial we multiply everything to each other

<u>                     3x                     </u>

3x * x = 3x^{2}

3x * 10 = 30x

<u>                     8                      </u>

8 * x = 8x

8 * 10 = 80

Now we put them all together in an equation

3x^{2} +30x+8x+80

Combine like terms

3x^{2} +38x+80

The answer is 3x^{2} +38x+80

Hope this helps!

7 0
3 years ago
ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)
Delicious77 [7]
remember
ln(x)=log_e(x)
and
log_x(a)-log_x(b)= log_x( \frac{a}{b} )
and
log_a(b)=c means a^c=b
and
blog(a)=log(a^b)



so

ln(y+1)-ln(y)=1+3ln(x)
ln( \frac{y+1}{y} )=1+ln(x^3)

minus ln(x^3) from both sides

ln( \frac{y+1}{y}-ln(x^3) )=1
ln( \frac{y+1}{yx^3})=1
log_e( \frac{y+1}{yx^3})=1

translate

e^1=\frac{y+1}{yx^3}
e=\frac{y+1}{yx^3}

times both sides by yx^3

eyx^3=y+1

minus y from both sides

eyx^3-y=1
y(ex^3-1)=1

divide both sides by (ex³-1)

y= \frac{1}{ex^3-1}
6 0
3 years ago
Read 2 more answers
If y=24 when x=21, find y when x is 18
ludmilkaskok [199]

Answer:20.571

Step-by-step explanation:

x:y = 21: 24=7:8

8x=7y

y=8x/7

When x=18

y=8*18/7

y=20.571

5 0
3 years ago
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