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3 years ago

At a pie eating contest, Jonny ate 8 pies in 5 minutes. How much time did he spend on each pie

Mathematics

1 answer:

MaRussiya [10]3 years ago

3 0

8 pies: 5 min

8/8 pies: 5/8 min

1 pie: 0.625 min

1 pie: 37.5 seconds (multiply 0.625 by 60 to convert from min to sec)

Jonny spends 37.5 seconds on each pie

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Your neighbor has a bag with 5 oranges and 7 apples in it. You will be receiving two pieces of fruit from your neighbor. What is

Snezhnost [94]

Answer:

31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

5 + 7 = 12 total fruits, which means that $N = 12$

7 apples, which means that $k = 7$

You receive 2 fruits, which means that $n = 2$

What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182$

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0

3 years ago

HELP PLEASE!!!!!! Find the speed of an athlete who makes 4and3/4 laps in 3mins45 seconds on a 400m field in m/s

Rom4ik [11]

Given:

An athlete who makes $4\dfrac{3}{4}$ laps in 3 mins 45 seconds on a 400m field.

To find:

The speed of the athlete in m/s.

Solution:

We know that,

Distance covered in 1 lap = 400 m

Distance covered in $4\dfrac{3}{4}$ laps = $4\dfrac{3}{4}\times 400$ m

= $\dfrac{19}{4}\times 400$ m

= $1900$ m

We know that,

1 minute = 60 seconds

3 minutes = 180 seconds

3 minutes 45 second = 180 + 45 seconds

= 225 second

The speed of the athlete is:

$Speed=\dfrac{Distance}{Time}$

$Speed=\dfrac{1900}{225}$

$Speed\approx 8.44$

Therefore, the speed of the athlete is about 8.44 m/s.

7 0

2 years ago

A bag contains 3 red marbles, 4 black marbles, and 5 yellow marbles. What are the chances of picking a marble that is not black?

lorasvet [3.4K]

I believe the answer is 8 out of 10

hope this helps!

8 0

2 years ago

Read 2 more answers

Complete the following:

Svetlanka [38]

1) A mathematical ratio is known as the golden ratio. It is frequently found in nature, and when employed in a design, it encourages compositions that look organic and natural and are visually appealing.

2) The algebraic form of golden ratio is root of x2-x-1 = 0

3) The golden ratio number is approximately equal to 1.618

4) When a line is split into two equal sections, the sum of the two parts, (a) + (b), divided by (a), equals 1.618, and this is known as the Golden Ratio

5) When designing forms, logos, layouts, and other things, this formula might be useful. By dividing each number in the Fibonacci series by its direct predecessor, the golden ratio is obtained. Mathematically speaking, the quotient F(n)/F(n-1) will become closer to the limit 1.618 for rising values of n if F(n) describes the nth Fibonacci number. The golden ratio is a more popular name for this restriction.

Learn more about golden ratio here: brainly.com/question/2263789

#SPJ4

5 0

1 year ago

A researcher is interested in eyewitness memory. She has participants watch a video reenactment of a robbery and then gives them

lions [1.4K]

Answer:

Ratio

Step-by-step explanation:

The scale of measurement here is Ratio. There is a chance of getting 2/10 or 5/10 or 0/10

3 0

2 years ago