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3 years ago

A pair of dice is tossed twice. Find the probability that both rolls give a sum of 9. (Enter your probability as a fraction.)

Mathematics

1 answer:

maria [59]3 years ago

6 0

Answer: $\dfrac{1}{9}$

Step-by-step explanation:

We know that the a dice has total 6 outcomes.

When a pair of dice is tossed then the total number of outcomes will be :-

$6\times6=36$

The outcomes of that shows sum to be 9:-

$(3,6),\ (6,3),\ (5,4),\ (4,5),\$

Now, the the probability that both rolls give a sum of 9 will be :_

$\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{4}{36}=\dfrac{1}{9}$ \

Hence, the probability that both rolls give a sum of 9 = $\dfrac{1}{9}$

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3 years ago

The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm radius and

zhannawk [14.2K]

Answer:

h = 5 cm

Step-by-step explanation:

Given that,

The volume of ice-cream in the cone is half the volume of the cone.

Volume of cone is given by :

$V_c=\dfrac{1}{3}\pi r^2h$

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h is height of cone, h = 6 cm

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$V_i=\dfrac{18\pi}{2}=9\pi\ cm^3$

Let H be the depth of the icecream.

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$\dfrac{H}{6}=\dfrac{r}{3}\\\\r=\dfrac{H}{2}$

So, volume of icecream in the cone is :

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8 0

3 years ago

Need help with this ignore what a put in the box it isn’t right

Zarrin [17]

$f=6cm\\g=8cm$

Why?

The first thing we need to do is find the area of the triangle, we can to that by subtracting the area of ABCD from ACBE, then, we can use the formulas to calculate the area for both triangle and rectangle to find "f" and "g".

Calculating we have:

$TriangleArea=ABCE-ABCD\\\\TriangleArea=60cm^{2}-48cm^{2}=12cm^{2}$

Now, we can calculate "f" by using the formula to calculate the area of the triangle:

$TriangleArea=\frac{b*h}{2}\\\\TriangleArea=\frac{f*4cm}{2}\\\\12cm^{2}*2=f*4cm\\\\\frac{24cm^{2}}{4cm}=f\\\\f=6cm$

Now, finding "g" by using the formula to calculate the area of the rectangle, we have:

$RectangleArea=ABCD\\\\ABCD=Base*Height\\\\48cm^{2}=base*6cm\\\\base=g=\frac{48cm^{2}}{6cm}=8cm$

Hence, we have that:

$f=6cm\\g=8cm$

Have a nice day!

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3 years ago

A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car

trapecia [35]

Answer: There are 60 ways that they can travel to the concert.

Step-by-step explanation:

Since we have given that

Number of people want to go to a concert = 12

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So, using the "Fundamental theorem of counting":

We get that

$5\times 4\times 3\\\\=60$

Hence, there are 60 ways that they can travel to the concert.

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2 years ago