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Tresset [83]
3 years ago
14

A six sided number cube is rolled twice what is the probability that the first roll is an even number and the second roll is a n

umber greater than 4
Mathematics
2 answers:
serious [3.7K]3 years ago
7 0
First roll: 3/6
Second roll:2/6

Probability that the first roll is an even number AND the second roll is a number greater than Four is

(3/6)*(2/6) = 6/36 or 1/6 or approx 0.167 or 16.7%
sp2606 [1]3 years ago
4 0

Answer:

50% of rolling an even number.

33.33% of rolling a number greater than 4.

Step-by-step explanation:

<h2><em>Even Number Probability: </em></h2>

There're three possibilities to roll an even number: 2, 4, and 6. If it's a six sided dice, there're a total of six rolling possibilities, so the ratio is 3:6, 1:2, or 50% chance of rolling an even number.

<h2><em>Greater Than Four Probability:</em></h2>

There're only two number greater than four on a traditional six sided dice: 5 and 6. There're, again, six sides on a six sided dice, so the ratio of rolling a number greater than four is 2:6, 1:3, or 33.33%.

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The sum of two numbers is 240. If one number is twice the other number, find the two numbers.
Deffense [45]

Answer:

The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.

----------

Let the smaller be "x" ; Larger is "2x-6"

EQUATION:

x + 2x-6 = 240

3x= 246

x = 82 (smaller)

2x-6 = 158 (larger)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Explain why any of the four operations (+x +) placed between the two terms 5 and-3/(radical sign) 8 will result in an irrational
kompoz [17]

To answer this question we will have to understand the nature of \sqrt{8}.

\sqrt{8} can be rewritten as: \sqrt{2\times 2\times 2} =2\sqrt{2}. Now, \sqrt{2} is an irrational number and thus any of the four operations of addition, multiplication, subtraction or division placed anywhere between any of these terms will always result in an irrational number.

The only way irrational numbers can be made rational is by dividing or multiplying the given irrational number by the same irrational number.

8 0
2 years ago
Three streets intersect to form a right triangle as shown below. The parts of streets that make up the legs of this triangle are
Burka [1]

Answer:

70 yd.

Step-by-step explanation:

The three streets at the intersection form a right triangle.

For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

h=\sqrt{x^2+y^2}

where

x is the length of the 1st side

y is the length of the 2nd side

h is the length of the hypothenuse

Here we want to find the hypothenuse.

We have:

x = 42 yd (length of the 1st side)

y = 56 yd (length of the 2nd side)

Substituting, we find h:

h=\sqrt{42^2+56^2}=70 yd

7 0
3 years ago
A small box of cereal contains 10 cups of cereal. A medium box of the same cereal contains 30% more cereal than the small box. H
mario62 [17]

Answer:

13 cups

Step-by-step explanation:

If the small box has 10 cups, then:

<u> (small) </u>     <u> 10 cups </u>   =  <u> 100% </u>

(medium)    x cups     =   130%

Now, cross multiply:

10 (130) = x (100)

1300 = 100x

x = 13

Another way to solve this is by turning 30% into a decimal:

30/100 = 0.3

10 (0.3) = 3

Now you have 30% of the 10 cups, but you need <u>30% more</u><em> </em>than the small box, so:

10 + 3 = 13 cups

6 0
2 years ago
3. A positive number is 56 less than its square. Find the number.
raketka [301]

Answer:8

Step-by-step explanation:

X+56=x^2

X^2-x-56=0

X^2-8x+7x-56=0

X(x-8)+7(x-8)=0

(X+7)(x-8)=0

X+7=0 or x-8=0

X=-7 or x=8

4 0
3 years ago
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