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Sauron [17]
2 years ago
12

What is the probability of rolling a 3 on a number cube and choosing a letter that is a vowel form the word MATHEMATICS?

Mathematics
1 answer:
IgorC [24]2 years ago
8 0

Answer:

2/33

Step-by-step explanation:

1.Since a number cube has six sides, and the word mathematics has 11 letters, and there are four vowels in mathematics, the probability of rolling a 3 in a number cube is 1/6. The probability of choosing a letter that is a vowel in mathematics is 4/11.

2. You multiply them together. 1/6*4/11=2/33.

3. The answer is 2/33.

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Length of movie projected at 24 frames per second:l=24f.solve for f
Dvinal [7]
L = 24f
l/24 = f

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3 years ago
Write the rule for the following arithmetic sequence: 11, 15, 19, 23, …
miv72 [106K]
11,15,19,23

an = 11 + 4(n-1)
an = 11 + 4n - 4
an = 4n + 7
5 0
3 years ago
A square unit that is 1 unit wide and 1 unit long is a?
MAXImum [283]

Answer:

A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

6 0
3 years ago
Each package of kiwis contains 8 kiwis. How is the number of kiwis related to the number of packages?
Degger [83]

Answer:

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Step-by-step explanation:

i just did this on my ttm lesson

3 0
3 years ago
Consider the case of a triangle with sides 5, 12, and the angle between them 90°.
Daniel [21]

Answer:

a) Applying Pithagoras Theorem

b) Trigonometric relations

c) No we can not

d) No we can not

e) See step-by-step explanation

f) See step-by-step-explanation

Step-by-step explanation:

a) The easiest method for calculating the missing side is applying Pithagoras Theorem

c²  =  a²  +  b²

c²  =  (5)²  +  (12)²      ⇒  c²  = 25 + 144    ⇒ c²  =  169    ⇒  c  = 13

b) The easiest method to find the missing angles, is to calculate the sin∠ and then look for arcsin fuction in tables.

sin ∠α = 5/13    sin ∠α = 0.3846    ⇒      arcsin (0.3846 )   α  = 23⁰

Now we can either get the other angle subtracting 180 - 90 - 23 = 67⁰

Or calculating sinβ = 12 /13    sinβ = 0.9230  arcsin(0.9230)   β = 67⁰

c) The law of cosines should not be applied to right triangles, in fact for instance in our particular case we have:

Question a)

c²  = a² + b² - 2*a*b*cos90⁰   (law of cosines ) but cos 90⁰ = 0

then c²  = a² + b² which is the expression for theorem of Pithagoras

In case you look for calculating the missing angles

c²  = a²  +  b²  - 2*5*13*cos α

169 = 25  +  144 - 2*5*13* cos α

As you can see 169 - 25 - 144 = 0

Then we can not  apply law of cosine in right triangles, we shoul apply trigonometric relations and Pithagoras theorem, and as we saw you can get the expression of Pithagoras theorem from cosine law

c²  =  a²  +  b²  - 2*a*b*cos∠90°    cos ∠ 90°  = 0

Then     c²  =  a²  +  b²

3 0
3 years ago
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