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Alchen [17]
2 years ago
11

A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a

200-meter sprint in which there are 10 runner?
Mathematics
1 answer:
RideAnS [48]2 years ago
3 0

Answer:

720 possible ways

Step-by-step explanation:

The gold is awarded to the first position, the silver is awarded to the second position while the bronze is awarded to the third position.

The first position can be taken by any of the 10 runners

Now, the second position can be taken by remaining 9 runners

while the third position can be taken by the renaming 8 runners.

Thus, the number of ways in which these medals can be awarded = 10 * 9 * 8 = 720 ways

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The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are
castortr0y [4]

Answer:

i think c 21600pi

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Julian is using a biking app that compares his position to a simulated biker traveling Julian's target speed. When Julian is beh
Gwar [14]

Answer:

11 km/hr.

Step-by-step explanation:

Given information:

Simulated speed = 20/km/h

Time = 15 mins = 1/4 hr = 0.25 hr

Distance Covered as per simulated speed = 20\times \frac{1}{4}=5km

Position of Julian according to the app = -2\frac{1}{4}=-2.25.

Actual distance covered by the bike is

Distance= 5 - 2.25 = 2.75km

Formula for speed:

\text{Average Speed}=\frac{Distance}{Time}

\text{Average Speed}=\frac{2.75}{0.25}

\text{Average Speed}=11

Therefore, the average speed of Julian is 11 km/hr.

5 0
2 years ago
A 12-centimeter rod is held between a flashlight and a wall as shown. Find the length of the shadow on
choli [55]

Answer:

48 cm

Step-by-step explanation:

Given:

Distance of rod from the wall = 45 cm

Distance of rod from the light = 15 cm

Length of rod = 12 cm

We can see that <DAM and <BAF are equal

Also, <DMA and <BFM are equal because they are corresponding angles

To find the length of the shadow, let's take the equation

\frac{DM}{BF} = \frac{AM}{A.F}

Where.:

DM = ½ of length of the rod = ½*12 = 6

A.F = 15 + 45 = 60 cm

AM = 15 cm

Therefore,

\frac{DM}{BF} = \frac{AM}{A.F}

= \frac{6}{BF} = \frac{15}{60}

Cross multiplying, we have:

15 * B.F = 60 * 6

15 * B.F = 360

BF = \frac{360}{15}

BF = 24 cm

The shadow on the wall =

2 * BF

= 2 * 24

= 48 cm

The shadow on the wall is 48 cm

7 0
1 year ago
A small coffee shop sells freshly squeezed juices in a refrigerated unit with slots where juice is displayed. These slots are ca
lianna [129]

Answer: kindly check attached picture

Step-by-step explanation:

Given the data below :

Juice Mango Orange Apple Pineapple Grapefruit Grape

Proportion of Facings 0.1875 0.250 0.250 0.125 0.125 0.0625

In other to make the proportion of facing visible on the graph we multiply by 100; Hence,

Juice Mango Orange Apple Pineapple Grapefruit Grape

Proportion of Facings 18.75 2.50 2.50 1.25 1.25 6.25

Juice Mango Orange Apple Pineapple Grapefruit Grape

Observed Number of Sales 23 35 46 12 10 5

(a) Construct a single bar chart that contains both the expected proportion of sales based on the proportion of facings and the observed proportion of sales for each type of juice.

Using an online bar chart plotter, the proportion of facings by the blue bars and the red bars depicts the observalues for different type of juice Given.

Hence, from the plot, it could be clearly seen that the distribution of facing is different or not equal to the number of juice sold.

The barchart produced is attached below.

8 0
2 years ago
A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and
Basile [38]

Answer:

(E) 0.83

Step-by-step explanation:

We will solve it using conditional probability.

Let A be the event that a TV show is successful.

P(A) = 0.5

A' be event that the show is unsuccessful

P(A') =0.5

Let B be the event that the response was favorable

P(B) = 0.6

Let B' be the event that the response was unfavorable/

P(B') = 0.4

P(A∩B) = 0.5 and P(A∩B') = 0.3

We need to find new show will be successful if it receives a favorable response.

P(A/B) = \frac{P(A∩B)}{P(B)}

           = 0.5/0.6

           = 0.833

7 0
2 years ago
Read 2 more answers
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