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3 years ago

2. A fair dice is rolled. What is the probability that a number divisible by 3 is rolled?

Mathematics

1 answer:

Anni [7]3 years ago

6 0

Answer: 2

Step-by-step explanation:

A dice has 6 numbers on it, 1,2,3,4,5, and 6.

how many pairs of 3 can you make?

(1 2 3) (4 5 6)

There are 2 pairs, so your answer is 2

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What is the solution to the equation 3x-5=2x+8+x?

Marysya12 [62]

So when solving this you are going to have to solve the equation.
Okay so first thing we need to do is simplify both sides of your equation so:
3x−5=2x+8+x
Simplifying process:
3x+−5=2x+8+x
Combine Like Terms ⇒ 3x−5=(2x+x)+(8)
3x−5=3x+8
3x−5=3x+8
Second thing we are now going to do is subtract 3x from both sides so:
3x−5−3x=3x+8−3x
−5=8
Final step is to add 5 to both sides:
−5+5=8+5
0=13
The answer to your question is "There are no solutions"

6 0

3 years ago

A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and

nasty-shy [4]

Answer:

correct option is C) 2.8

Step-by-step explanation:

given data

string vibrates form = 8 loops

in water loop formed = 10 loops

solution

we consider mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = $\rho$

case (1)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

so here

$l = \frac{8 \lambda _1}{2}$ ..............1

$l = 4 \lambda_1\\\\\lambda_1 = \frac{l}{4}$

and we know velocity is express as

velocity = frequency × wavelength .....................2

$\sqrt{\frac{Tension}{mass\ per\ unit \length }}$ = f × $\lambda_1$

here tension = mg

$\sqrt{\frac{mg}{\mu}}$ = f × $\lambda_1$ ..........................3

and

case (2)

when 8 loop form with 2 adjacent node is $\frac{\lambda }{2}$

$l = \frac{10 \lambda _1}{2}$ ..............4

$l = 5 \lambda_1\\\\\lambda_1 = \frac{l}{5}$

when block is immersed

equilibrium eq will be

Tenion + force of buoyancy = mg

T + v × $\rho$ × g = mg

and

T = v × $\rho$ - v × $\rho$ × g

from equation 2

f × $\lambda_2$ = f × $\frac{1}{5}$

$\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}$ .......................5

now we divide eq 5 by the eq 3

$\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}$

solve irt we get

$1 - \frac{\rho _{stone}}{\rho _{water}} = \frac{16}{25}$

relative density $\frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}$

relative density = 2.78 ≈ 2.8

so correct option is C) 2.8

3 0

3 years ago

Solve this expression: 1001 - 7

LenKa [72]

Answer:

1001−7

=1001−7

=1001+−7

=994

Step-by-step explanation:=994

8 0

2 years ago

Find the perimeter of a square of whose diagonal measures 12cm

Schach [20]

check the picture below.

recall that in a square, all four sides are equal, therefore b = a.

so the perimeter is then 6√2 + 6√2 + 6√2 + 6√2, or 24√2.

6 0

3 years ago

In a simple linear regression analysis the quantity that gives the amount by which the dependent variable changes for a unit cha

arlik [135]

Answer:

Slope of the regression line

Step-by-step explanation:

The slope of the regression line including the intercept shows the linear relationship between two variables, and can also therefore be utilized in estimating an average rate of change.

The slope of a regression line represents the rate of change in the dependent variable as the independent variable changes because y- the dependent variable is dependent on x- the independent variable.

4 0

3 years ago