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3 years ago

You roll a standard number cube 36 times, how many times can you expect to roll an odd number?

Mathematics

1 answer:

Xelga [282]3 years ago

4 0

Answer:

18 times

Step-by-step explanation:

Half of the possibilities you can roll are correct. so 18 out of 36 times you roll an odd number.

You could also look at it another way. You can expect to roll each number 6 times, so the 3 odd numbers added together is 18 times.

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PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

valentinak56 [21]

They are congruent.
you use 12x-18 = 8x+10 to solve for x

8 0

3 years ago

Type the correct answer for each.

xxTIMURxx [149]

If point $\left(x,\ \frac{\sqrt{7}}{3}\right)$ is on the unit ircle, then:

$x^2+\left( \frac{ \sqrt{7} }{3} \right)^2=1 \\ \\ \Rightarrow x^2+ \frac{7}{9} =1 \\ \\ \Rightarrow x^2=1- \frac{7}{9} = \frac{2}{9} \\ \\ \Rightarrow x= \sqrt{ \frac{2}{9} } = \frac{ \sqrt{2} }{3}$

Since, the point is in the second quadrant, x is negative.

Thus, $(x,\ y)=\left(x,\ \frac{\sqrt{7}}{3}\right)=\left(-\frac{ \sqrt{2} }{3},\ \frac{\sqrt{7}}{3}\right)$

Part A:

$3 \sqrt{7} =6\left( \frac{ \sqrt{7} }{2} \right) \\ \\ =6\left( \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \right) \\ \\ =6\left( \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } \right)=-6\left( \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } \right) \\ \\ =-6\left( \frac{y}{x} \right)=-6\tan\theta$

Therefore, $-6\tan\theta=3\sqrt{7}$ .

Part B:

$- \frac{ \sqrt{7} }{2} =- \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \\ \\ =- \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } = \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } = \frac{y}{x} \\ \\ =\tan\theta$

Therefore, $\tan\theta=- \frac{ \sqrt{7} }{2}$

8 0

3 years ago

An airline knows that on average about 5 percent of the people who make reservations on a certain flight will not show up. Conse

kolbaska11 [484]

Answer:

Probability that there will be a seat available for every passenger who shows up is 50/50 or 49/50

Step-by-step explanation:

Since it is known that 5percent of people who make reservations would not show up.

Therefore 5% of 52 sold ticket is

5/100 x 52 = 2.6

That is 2 or 3 people who make reservations would not show up.

Which means 52 - 2 or 52 - 3 people would show up

50 or 49 people would show up

Since the flight can hold just 50 people

The probability that everyone that shows up would have a seat is therefore =

50/ 50 or 49/50

8 0

3 years ago

inside each set and subsets .write at least 5 example of each kind of number. integers , whole ,rational ,natural ,irrational

vagabundo [1.1K]

Answer:

Integers: is the set of all the numbers that can be created by adding ones or subtracting ones a given number of times to zero.

for example:

4 = 0 + 1 + 1+ 1 +1 is an integer.

-3 = 0 - 1 - 1- 1 is an integer.

0 is also an integer, you add ones zero times.

Then 5 examples of integers can be:

-10, -5, 0, 4, 18

Whole numbers: this set is the set of the positive integers and the zero.

Then 5 examples are:

0, 1, 4, 6, 173

Rational: All the numbers that can be written as a quotient of two integers.

5 examples are:

2/2, 7/3, 4/16, 100/10, -500/1048

Natural: Is the set of the positive integers.

5 examples are:

1, 4, 6, 120, 47

Irrational: Are numbers that have infinite digits after the decimal point, such that there is no pattern in those digits. The squareroots of prime numbers are always irrational numbers.

5 examples are:

pi, √2, √3, √5, √13

where pi = 3.141592653...

Is the relation between the perimeter of a circle and its diameter.

perimeter = diameter*pi.

6 0

3 years ago

The surface area of a right cone is 400.2 m2. The radius of the cone is 6.0 m. Determine the height of the cone to the nearest m

svetoff [14.1K]

S = πr(r + √(h² + r²))
  400.2 = 3.14(6)(6 + √(h² + 6²))
  400.2 = 18.84(6 + √(h² + 36))
  18.84   18.84
  21¹⁰⁹/₄₇₁ = 6 + √(h² + 36))
  - 6 - 6
  15¹⁰⁹/₄₇₁ = √(h² + 36)
231²²¹⁰⁰⁵/₂₂₁₈₄₁ = h² + 36
- 36   - 36
195²²¹⁰⁰⁵/₂₂₁₈₄₁ = h²
  14 ≈ h

8 0

3 years ago