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3 years ago

9

Cole has 4 regular dice and 1 unique dice that has the value 1 on each of the 6 faces. He picks one at random and rolls 3 ones i

n a row. What is the probability he picked the unique dice

1 answer:

marshall27 [118]3 years ago

4 0

Answer:

0.008

Step-by-step explanation:

The probability of having chosen the unique dice three times in a row would be the multiplication of the probability of each event.

The event is always repeated. Take the single dice of 5 dice in total. Therefore the probability is 1/5.

Then the final probability would be:

<em>(1/5) * (1/5) * (1/5)</em>, and that is equal to 0.008.

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irinina [24]

Step-by-step explanation:

Given,

y=2x=,z=3x,r=4x

Now,

x+y+z+r=360°(complete turn)

x+2x+3x+4x=360°(given)

10x=360°

x=360°/10

x=36°

Hence,

x=36°

y=2x=2×36°=72°

z=3x=3×36°=108°

r=4x=4×36°=144°

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2 years ago

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4/5 minus 1/3 plz i need help

IRISSAK [1]

Answer:

7/15

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 3, and get 12.

Then we multiply 1 by 5, and get 5.

Next we give both terms new denominators -- 5 × 3 = 15.

So now our fractions look like this:

12

15

−

5

15

Step 2

Since our denominators match, we can subtract the numerators.

12 − 5 = 7

So the answer is:

7

15

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

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2 years ago

A set of furniture was sold for GH cedis 3000 at a profit of 25%. Find the cost price.

Sindrei [870]

Answer:

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Step-by-step explanation:

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3 years ago

Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

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solve for x

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$15x-2x=48+30$

Combine like terms

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$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

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$22y-5y^2=21$

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Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

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$x=22-5(3)=7$

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Step-by-step explanation: Good luck

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