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Slav-nsk [51]
1 year ago
6

You roll a number cube. What is the probability that you roll an even number or a number less than 5?

Mathematics
1 answer:
NISA [10]1 year ago
7 0
Let’s first see the probability of landing an even number. We have 6 sides, and 3 are labeled with an even number. So our chances of rolling a number cube are 3/6 (or 1/2 when simplified).

Next, the probability of rolling a number less then five is 4/6 (or 2/3 simplified), since we have 4 sides labeled with a number less than 5.

To compute two or more probabilities, we multiply them. In this case, the fractions already share the same denominator, 6 (because it’s a cube with 6 sides). So we get:

3/6 * 4/6

We then square 6, which is 36, and multiply 3 by 4, which is 12. This gives us 12/36, which is 1/3 in simplified form.

So there’s out answer: 1/3.
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Simplify the expression (128x^5/8x)^1/2
solong [7]

Answer: 4x'6

Step-by-step explanation:

Simplify x5 /8. Than, Equation at the end of step  1  :   x5   ——) • x)1) ÷ 4   8  

Step  2  :  2.1     16 = 24  (16)1 = (24)1 = 24  2.2    x6 raised to the 1 st power = x( 6 * 1 ) = x6

Step  3  :     24x6  Simplify   ————    4  

Dividing exponents :   3.1    24   divided by   22   = 2(4 - 2) = 22

which brings us to our final answer above

5 0
3 years ago
Answer fast its sue by end of class
shtirl [24]

Step-by-step explanation:

question 1. Solve the equation 8-7/10 c = 6 - 1/5c for c

8 - 7/10c = 6 - 1/5c

subtract 8 from both sides:

8 - 7/10c - 8 = 6 - 1/5c - 8

- 7/10c  = -2 - 1/5c

add 1/5c to both sides:

- 7/10c + 1/5c = -2 - 1/5c  + 1/5c

- 7/10c + 1/5c = -2

change to common denominator:

- 7/10c+ 2/10c = -2

- 5/10c = -2

-1/2c = -2

multiply both sides by -2:

- 1/2c(-2) = -2(-2)

c = 4

___________________________________

question 2. 75 - 3.5y - 4y = 4y + 6 for y

75 - 3.5y - 4y = 4y + 6

75 - 7.5y = 4y + 6

add 7.5y to both sides:

75 - 7.5y + 7.5y = 4y + 6 + 7.5y

75 = 11.5y + 6

subtract 6 from both sides:

75 - 6 = 11.5y + 6 - 6

69 = 11.5y

divide both sides by 11.5:

69/11.5 = 11.5y/11.5

y = 6

___________________________________

Question 3. Solve the equation 16.5 + 2.75h = 9h + 7.5 − 4.25h for h.

16.5 + 2.75h = 9h + 7.5 − 4.25h

16.5 + 2.75h = 4.75h + 7.5

subtract 7.5 from both sides:

16.5 + 2.75h - 7.5 = 4.75h + 7.5 - 7.5

9 + 2.75h =  4.75h

subtract 2.75h from both sides:

9 + 2.75h - 2.75h =  4.75h - 2.75h

9 = 2h

divide both sides by 2:

9/2 = 2h/2

h = 9/2

6 0
1 year ago
Is .21 (with only the one repeating) a rational number? please explain why! thanks!
Nostrana [21]

21 is a rational number because it is an integer, which can be converted into a fraction.

<u>Step-by-step explanation:</u>

When a denominater and numerator are integers and gives a quotient then it is a rational number.

21/1, where 21 is denominator and 1 is numerator the quotient is 21. Therefore 21 is a rational number which can also be considered as a ratio.

8 0
3 years ago
Write 0.46 as a fraction simplest form
ddd [48]

Answer:23/50

Step-by-step explanation:its 46/100 but it simplifies to 23/50 hope this helps god bless

8 0
3 years ago
Read 2 more answers
Part I: Measuring Parts of a Circle
cluponka [151]

Answer:

case a) The approximate circumference of circle is 5.9\ units and the ratio of circumference to Diameter is \frac{C}{D}=2.95

case b) The approximate circumference of circle is 6\ units and the ratio of circumference to Diameter is \frac{C}{D}=3

case c) The approximate circumference of circle is 6.24\ units and the ratio of circumference to Diameter is \frac{C}{D}=3.12

Step-by-step explanation:

we know that

The approximate circumference of each circle, is equal to the perimeter of each inscribed polygon

case A) the figure is an inscribed pentagon

step 1

Find the approximate circumference of circle

The perimeter of the pentagon is equal to

P=5s

where

s=1.18\ units

substitute

P=5(1.18)=5.9\ units

therefore

The approximate circumference of circle is 5.9\ units

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

D=2r=2(1)=2\ units

The ratio is equal to

\frac{C}{D}=5.9/2=2.95

case B) the figure is an inscribed hexagon

step 1

Find the approximate circumference of circle

The perimeter of the hexagon is equal to

P=6s

where

s=1\ units

substitute

P=6(1)=6\ units

therefore

The approximate circumference of circle is 6\ units

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

D=2r=2(1)=2\ units

The ratio is equal to

\frac{C}{D}=6/2=3

case C) the figure is an inscribed dodecahedron

step 1

Find the approximate circumference of circle

The perimeter of the dodecahedron is equal to

P=12s

where

s=0.52\ units

substitute

P=12(0.52)=6.24\ units

therefore

The approximate circumference of circle is 6.24\ units

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

D=2r=2(1)=2\ units

The ratio is equal to

\frac{C}{D}=6.24/2=3.12

<em>Conclusion</em>

We  know that

The exact value of the ratio \frac{C}{D} is equal to

\frac{\pi D}{D}=\pi

The approximate value of the circumference will be closer to the real one when the number of sides of the inscribed polygon is greater

4 0
3 years ago
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