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Jobisdone [24]
2 years ago
11

If a pair of 6-sided dice is tossed, what is the probability that both dice will show a number that is a multiple of 3 (i.E. 3 o

r 6)
Mathematics
1 answer:
kondaur [170]2 years ago
5 0

There are 4 possibilities out of the 36 ways the dice can land:

... (3, 3), (3, 6), (6, 3), (6, 6)

Hence, the probability of an outcome in this set is 4/36 = 1/9.

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Simplify each expression
Stells [14]
The simplified expression is 6+3i 

3 0
3 years ago
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A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed betwe
Wewaii [24]

The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.

<h3>How to calculate the volume of a hemisphere?</h3>

The volume of the hemisphere is calculated by using the formula,

= \frac{2}{3} × π × r³ cubic units

where r is the radius of the hemisphere.

<h3>Calculation:</h3>

It is given that,

A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.

So, the volume of the bowl is

V =  \frac{2}{3} × π × (1)³

  =  \frac{2}{3} × π cubic feets

The volume of each smaller hemisphere-shaped mold =  \frac{2}{3} × π × r³ cubic units

So, for 27 molds, the volume = 27 × \frac{2}{3} × π × r³ cubic units

All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.

Then,

\frac{2}{3} × π = 27 × \frac{2}{3} × π × r³

⇒ r³ = 1/27

⇒ r = 1/3 ft

Therefore, the required radius of each of the smaller molds is 1/3 foot.

Learn more about the volume of a hemisphere here:

brainly.com/question/15975126

#SPJ4

6 0
2 years ago
Which expression is equivalent to the given expression?
USPshnik [31]

Answer:

A.

Step-by-step explanation:

The a^3 would cancel out, currently leaving just b^5 on the top and ab on the bottom. The b would also cancel out, finally leaving just b^4/a. Therefore A is the answer equivalent to the original expression.

3 0
2 years ago
Ryan had 220 baseball cards
emmasim [6.3K]

Answer:

220 baseball cards

Step-by-step explanation:

You didn't tell us anything s o i guess 220 baseball cards

8 0
2 years ago
1. Which point on the axis satisfies the inequality y
grigory [225]

Answer:

1) Point (1,0) -----> see the attached figure N 1

2) The value of x is 4

3) I quadrant

4) (1,1)

5)  y>-5x+3

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point (1,0) is included in the shaded area

Part 2)

we have

x-2y\geq 4

see the attached figure N 2

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line x-2y= 4

For y=0

Find the value of x

x-2(0)= 4  

x=4

The solution is x=4

Part 3)

we have

x\geq 0 -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

y\geq 0 -----> inequality B

The solution of the inequality B is in the first and second quadrant

so

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

y\geq 4x-5

we know that

If a ordered pair is a solution  of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

<u>case A)</u> point (3,4)

Substitute the value of x and y in the inequality

x=3,y=4

4\geq 4(3)-5

4\geq 7 ------> is not true

therefore

the point (3,4) is not a solution of the inequality

<u>case B)</u> point (2,1)

Substitute the value of x and y in the inequality

x=2,y=1

1\geq 4(2)-5

1\geq 3 ------> is not true

therefore

the point  (2,1) is not a solution of the inequality

<u>case C)</u> point (3,0)

Substitute the value of x and y in the inequality

x=3,y=0

0\geq 4(3)-5

0\geq 7 ------> is not true

therefore

the point  (3,0) is not a solution of the inequality

<u>case D)</u> point (1,1)

Substitute the value of x and y in the inequality

x=1,y=1

1\geq 4(1)-5

1\geq -1 ------> is true

therefore

the point  (1,1) is  a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point (3,0)

The x-intercept is a positive number

The solution is the shaded area above the dashed line

so

the equation of the line is y=-5x+3

The inequality is  y>-5x+3

3 0
3 years ago
Read 2 more answers
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