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Vladimir [108]
3 years ago
5

See attachment for the whole question.

Mathematics
1 answer:
KengaRu [80]3 years ago
7 0

Using probability concepts, it is found that:

a) \frac{4}{13} probability of drawing a card below a 6.

b) \frac{4}{9} odds of drawing a card below a 6.

c) We should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.

------------------------------

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.

Item a:

  • In a standard deck, there are 52 cards.
  • There are 4 types of cards, each numbered 1 to 13. Thus, 4 \times 5 = 20 are less than 6.

Then:

p = \frac{20}{52} = \frac{4}{13}

\frac{4}{13} probability of drawing a card below a 6.

Item b:

  • Converting from probability to odd, it is:

\frac{4}{13 - 4} = \frac{4}{9}

\frac{4}{9} odds of drawing a card below a 6.

Item c:

  • The law of large numbers states that with a <u>large number of trials, the percentage of each outcome is close to it's theoretical probability.</u>
  • Thus, we should expect to draw a card below 6 about 4 times out of 13 attempts, which as an odd, it also 4 times for every 9 times we draw a card above 6, which is the third option.

A similar problem is given at brainly.com/question/24233657

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I need help please!!!!
ycow [4]

Answer:

x = 14.48

Step-by-step explanation:

first we have to see that we have the measurements from all sides

and we know that the angle between side 21 and 20 is 90 degrees

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

let's take the left angle as α

sin α = 21/29

α = sin^-1 (21/29)

α = sin^-1 (0.7241)  

α = 46.397

Now we do the same with the smaller triangle

tan α = o/a

sin 46.397  = x/20

0.724 = x/20

0.724 * 20 = x

14.48 = x

x = 14.48

if we want to check it we can do the same procedure with the other angle

4 0
3 years ago
Marissa has a wool rug that has the shape of a regular octagon in her living room. The diameter of the incircle of the rug measu
alexira [117]
We know that the diameter of the inner circle (d) and the side of a regular octagon (s) are tied by the formula:

d = (1 +√2) × s

The inverse formula is:

s = d / <span>(1 +√2)

Plugging in numbers:
s = 7 (1 + </span>√2)
   = 2.9 ft

Therefore the correct answer is A) <span>2.9 feet</span>
7 0
3 years ago
Read 2 more answers
Connor wants to drive from Tucson to the Grand Canyon a distance of 338 miles if he drives a steady rate of 52 mph how many hour
alexandr1967 [171]

Answer:

6.5 Hours

Step-by-step explanation:

Divide 338 by 52 to get the answer

5 0
3 years ago
A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E
Triss [41]

Answer:

The volume of cylinder is:

49806.06 ft^3

Step-by-step explanation:

We are given a right circular cylinder with:

Height(h)=22\frac{1}{4}ft=\dfrac{89}{4}ft

and a diameter is 2\frac{2}{5} times it's height.

i.e. \dfrac{12}{5} times it height.

i.e. the diameter is given as:

\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.

We know that the radius of cylinder is half the diameter.

Hence, radius(r) of cylinder is:

\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}

The volume(V) of cylinder is given by:

V=\pi r^2h

V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3

Hence, the volume of cylinder is:

49806.06 ft^3

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3 years ago
The quotient of -24 and the sum of p and q
boyakko [2]

Answer:

the sum of p and q is pXq =pq

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