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3 years ago

A number cube is rolled. What is the probability that a number greater than 4 will be rolled?

Mathematics

2 answers:

ale4655 [162]3 years ago

7 0

Answer:

1/3

Step-by-step explanation:

Anything under 4 has a 4/6 chance, so whats left is 2/6, which is equal to 1/3.

slava [35]3 years ago

4 0

Answer:

1/3

Step-by-step explanation:

im assuming its a 6 sided dice

so each side is numbered 1-6

u want the probabilty if it being greater than 4

4 of the 6 numbers aren't greater than 4 so 4/6of the time it will be less than 4

which and be simplified to 2/3

so 1/1-2/3=1/3

so there is a 1/3 propbability that it will be greater than 4

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The volume of fuel in a tank changes at a rate given by the equation V'\left(t\right)=\frac{4t}{\sqrt[3]{t^2+3}},\:t\ge0 V ′ ( t

Ksju [112]

$V'(t)=\dfrac{4t}{\sqrt[3]{t^2+3}}$

The volume of fuel in the tank after 9 hours is given by

$\displaystyle\int_0^9V'(t)\,\mathrm dt=\int_0^9\dfrac{4t}{(t^2+3)^{1/3}}\,\mathrm dt$

To compute the integral, substitute $u=t^2+3$ , so that $\mathrm du=2t\,\mathrm dt$ . Then when $t=0$ , $u=0^2+3=3$ ; when $t=9$ , $u=9^2+3=84$ .

$\displaystyle\int_0^9V'(t)\,\mathrm dt=2\int_{t=0}^{t=9}\frac{2t}{(t^2+3)^{1/3}}\,\mathrm dt=2\int_{u=3}^{u=84}u^{-1/3}\,\mathrm du$
$=2\cdot\dfrac32u^{2/3}\bigg|_{u=3}^{u=84}=3(84^{2/3}-3^{2/3})\approx51.3$

So the volume of fuel after 9 hours is about 51.3 gallons.

8 0

4 years ago

Which equation represents the graph ?

Ronch [10]

Answer:

The equation of the line is;

y + 4 = 3(x + 4)

Step-by-step explanation:

The general equation of a line is;

y = mx + b

where m is the slope and b is the y-intercept

To get the equation, let us look at the given intercepts

We have the intercepts at the point (0,5) and (-2,-1)

We have the slope of the line as follows;

m = (y2-y1)/(x2-x1) = (-1-5)/(-2-0) = -6/-2 = 3

So we have the equation as;

y = 3x + b

recall, we have the y-intercept as 5

so the complete equation is;

y = 3x + 5

Now, we can rewrite this as;

y+ 4 = 3(x + 3)

5 0

3 years ago

If you hike three miles every 5 minutes, how far are you going in 1 minute?

V125BC [204]

Answer:

0.6 miles per minute

Step-by-step explanation:

3/5 = 0.6/1 = 0.6

6 0

3 years ago

Read 2 more answers

What number is equal to its opposite of 10-(-7)?

lara [203]

Answer:

10-(-7) is also 17

Step-by-step explanation:

__-(-__)=__+___

- and - = +

So 10+7 = 17

Happy learning!

--Applepi101

4 0

3 years ago

Raya is saving 1/15 Of her monthly income of $450 for a new sofa. How much money is she setting aside each month for the new sof

netineya [11]

Answer:

she is doing 30 ok

Step-by-step explanation:

just do 450 divided by 15

3 0

3 years ago

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